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12a0 2d 0a 20 20 20 20 6e 3a 20 69 6e 74 0a 20 20 20 20 20 20 20 20 4e 75 6d 62 65 72 20 6f 66 20 69 -.....n:.int.........Number.of.i
12c0 6e 74 65 67 65 72 73 20 66 72 6f 6d 20 77 68 69 63 68 20 74 6f 20 6d 61 6b 65 20 6e 6f 64 65 20 ntegers.from.which.to.make.node.
12e0 73 75 62 73 65 74 73 2e 0a 20 20 20 20 20 20 20 20 53 75 62 73 65 74 73 20 61 72 65 20 64 72 61 subsets..........Subsets.are.dra
1300 77 6e 20 66 72 6f 6d 20 60 60 73 65 74 28 72 61 6e 67 65 28 6e 29 29 60 60 2e 0a 20 20 20 20 6b wn.from.``set(range(n))``......k
1320 3a 20 69 6e 74 0a 20 20 20 20 20 20 20 20 53 69 7a 65 20 6f 66 20 74 68 65 20 73 75 62 73 65 74 :.int.........Size.of.the.subset
1340 73 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 s.......Returns.....-------.....
1360 47 20 3a 20 4e 65 74 77 6f 72 6b 58 20 47 72 61 70 68 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 73 G.:.NetworkX.Graph......Examples
1380 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 6b 6e 65 .....--------.....>>>.G.=.nx.kne
13a0 73 65 72 5f 67 72 61 70 68 28 35 2c 20 32 29 0a 20 20 20 20 3e 3e 3e 20 47 2e 6e 75 6d 62 65 72 ser_graph(5,.2).....>>>.G.number
13c0 5f 6f 66 5f 6e 6f 64 65 73 28 29 0a 20 20 20 20 31 30 0a 20 20 20 20 3e 3e 3e 20 47 2e 6e 75 6d _of_nodes().....10.....>>>.G.num
13e0 62 65 72 5f 6f 66 5f 65 64 67 65 73 28 29 0a 20 20 20 20 31 35 0a 20 20 20 20 3e 3e 3e 20 6e 78 ber_of_edges().....15.....>>>.nx
1400 2e 69 73 5f 69 73 6f 6d 6f 72 70 68 69 63 28 47 2c 20 6e 78 2e 70 65 74 65 72 73 65 6e 5f 67 72 .is_isomorphic(G,.nx.petersen_gr
1420 61 70 68 28 29 29 0a 20 20 20 20 54 72 75 65 0a 20 20 20 20 72 02 00 00 00 7a 1d 6e 20 73 68 6f aph()).....True.....r....z.n.sho
1440 75 6c 64 20 62 65 20 67 72 65 61 74 65 72 20 74 68 61 6e 20 7a 65 72 6f 7a 30 6b 20 73 68 6f 75 uld.be.greater.than.zeroz0k.shou
1460 6c 64 20 62 65 20 67 72 65 61 74 65 72 20 74 68 61 6e 20 7a 65 72 6f 20 61 6e 64 20 73 6d 61 6c ld.be.greater.than.zero.and.smal
1480 6c 65 72 20 74 68 61 6e 20 6e e9 02 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 07 00 00 00 ler.than.n.....c................
14a0 33 00 00 00 f3 5a 00 00 00 95 03 4b 00 01 00 97 00 7c 00 5d 22 00 00 7d 01 02 00 89 03 89 05 74 3....Z.....K.....|.]"..}.......t
14c0 01 00 00 00 00 00 00 00 00 7c 01 ab 01 00 00 00 00 00 00 7a 0a 00 00 89 04 ab 02 00 00 00 00 00 .........|.........z............
14e0 00 44 00 5d 08 00 00 7d 02 7c 01 7c 02 66 02 96 01 97 01 01 00 8c 0a 04 00 8c 24 04 00 79 00 ad .D.]...}.|.|.f............$..y..
1500 03 77 01 a9 01 4e 29 01 da 03 73 65 74 29 06 da 02 2e 30 da 01 73 da 01 74 da 04 63 6f 6d 62 da .w...N)...set)....0..s..t..comb.
1520 01 6b da 08 75 6e 69 76 65 72 73 65 73 06 00 00 00 20 20 20 80 80 80 72 2a 00 00 00 fa 09 3c 67 .k..universes..........r*.....<g
1540 65 6e 65 78 70 72 3e 7a 1f 6b 6e 65 73 65 72 5f 67 72 61 70 68 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c enexpr>z.kneser_graph.<locals>.<
1560 67 65 6e 65 78 70 72 3e 96 00 00 00 73 31 00 00 00 f8 e8 00 f8 80 00 d2 14 51 a0 01 b1 64 b8 38 genexpr>....s1...........Q...d.8
1580 c4 63 c8 21 c3 66 d1 3b 4c c8 61 d3 36 50 d2 14 51 b0 11 90 61 98 11 94 56 d0 14 51 90 56 d1 14 .c.!.f.;L.a.6P..Q...a...V..Q.V..
15a0 51 f9 f3 04 00 00 00 83 28 2b 01 29 0a 72 04 00 00 00 da 02 6e 78 72 03 00 00 00 da 04 6c 69 73 Q.......(+.).r......nxr......lis
15c0 74 da 09 69 74 65 72 74 6f 6f 6c 73 da 0c 63 6f 6d 62 69 6e 61 74 69 6f 6e 73 72 1e 00 00 00 da t..itertools..combinationsr.....
15e0 0e 61 64 64 5f 6e 6f 64 65 73 5f 66 72 6f 6d 72 37 00 00 00 72 2f 00 00 00 29 06 72 23 00 00 00 .add_nodes_fromr7...r/...).r#...
1600 72 3c 00 00 00 72 31 00 00 00 da 07 73 75 62 73 65 74 73 72 3b 00 00 00 72 3d 00 00 00 73 06 00 r<...r1.....subsetsr;...r=...s..
1620 00 00 20 60 20 20 40 40 72 2a 00 00 00 72 12 00 00 00 72 12 00 00 00 6b 00 00 00 73 a1 00 00 00 ...`..@@r*...r....r....k...s....
1640 fa 80 00 f0 3a 00 08 09 88 41 82 76 dc 0e 1b d0 1c 3b d3 0e 3c d0 08 3c d8 07 08 88 41 82 76 90 ....:....A.v.....;..<..<....A.v.
1660 11 90 51 92 15 dc 0e 1b d0 1c 4e d3 0e 4f d0 08 4f e4 08 0a 8f 08 89 08 8b 0a 80 41 e4 0e 12 94 ..Q.......N..O..O..........A....
1680 39 d7 13 29 d1 13 29 ac 25 b0 01 ab 28 b0 41 d3 13 36 d3 0e 37 80 47 e0 07 08 88 31 81 75 88 71 9..)..).%...(.A..6..7.G....1.u.q
16a0 82 79 d8 08 09 d7 08 18 d1 08 18 98 17 d4 08 21 e4 0f 12 94 35 98 11 93 38 8b 7d 80 48 dc 0b 14 .y.............!....5...8.}.H...
16c0 d7 0b 21 d1 0b 21 80 44 d8 04 05 d7 04 14 d1 04 14 d5 14 51 a0 57 d4 14 51 d4 04 51 d8 0b 0c 80 ..!..!.D...........Q.W..Q..Q....
16e0 48 72 32 00 00 00 63 03 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 03 00 00 00 f3 56 00 00 00 Hr2...c.....................V...
1700 97 00 7c 00 64 01 6b 28 00 00 72 06 7c 01 64 01 7a 00 00 00 7d 03 6e 11 64 01 7c 00 7c 01 64 01 ..|.d.k(..r.|.d.z...}.n.d.|.|.d.
1720 7a 00 00 00 7a 08 00 00 7a 0a 00 00 64 01 7c 00 7a 0a 00 00 7a 02 00 00 7d 03 74 01 00 00 00 00 z...z...z...d.|.z...z...}.t.....
1740 00 00 00 00 7c 00 7c 03 7c 02 ac 02 ab 03 00 00 00 00 00 00 53 00 29 03 61 43 03 00 00 52 65 74 ....|.|.|...........S.).aC...Ret
1760 75 72 6e 73 20 74 68 65 20 70 65 72 66 65 63 74 6c 79 20 62 61 6c 61 6e 63 65 64 20 60 72 60 2d urns.the.perfectly.balanced.`r`-
1780 61 72 79 20 74 72 65 65 20 6f 66 20 68 65 69 67 68 74 20 60 68 60 2e 0a 0a 20 20 20 20 2e 2e 20 ary.tree.of.height.`h`..........
17a0 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 77 28 6e 78 2e 62 plot::..........>>>.nx.draw(nx.b
17c0 61 6c 61 6e 63 65 64 5f 74 72 65 65 28 32 2c 20 33 29 29 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 alanced_tree(2,.3))......Paramet
17e0 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 72 20 3a 20 69 6e 74 0a 20 ers.....----------.....r.:.int..
1800 20 20 20 20 20 20 20 42 72 61 6e 63 68 69 6e 67 20 66 61 63 74 6f 72 20 6f 66 20 74 68 65 20 74 .......Branching.factor.of.the.t
1820 72 65 65 3b 20 65 61 63 68 20 6e 6f 64 65 20 77 69 6c 6c 20 68 61 76 65 20 60 72 60 0a 20 20 20 ree;.each.node.will.have.`r`....
1840 20 20 20 20 20 63 68 69 6c 64 72 65 6e 2e 0a 0a 20 20 20 20 68 20 3a 20 69 6e 74 0a 20 20 20 20 .....children.......h.:.int.....
1860 20 20 20 20 48 65 69 67 68 74 20 6f 66 20 74 68 65 20 74 72 65 65 2e 0a 0a 20 20 20 20 63 72 65 ....Height.of.the.tree.......cre
1880 61 74 65 5f 75 73 69 6e 67 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 20 63 6f 6e 73 74 ate_using.:.NetworkX.graph.const
18a0 72 75 63 74 6f 72 2c 20 6f 70 74 69 6f 6e 61 6c 20 28 64 65 66 61 75 6c 74 3d 6e 78 2e 47 72 61 ructor,.optional.(default=nx.Gra
18c0 70 68 29 0a 20 20 20 20 20 20 20 47 72 61 70 68 20 74 79 70 65 20 74 6f 20 63 72 65 61 74 65 2e ph)........Graph.type.to.create.
18e0 20 49 66 20 67 72 61 70 68 20 69 6e 73 74 61 6e 63 65 2c 20 74 68 65 6e 20 63 6c 65 61 72 65 64 .If.graph.instance,.then.cleared
1900 20 62 65 66 6f 72 65 20 70 6f 70 75 6c 61 74 65 64 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a .before.populated.......Returns.
1920 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 ....-------.....G.:.NetworkX.gra
1940 70 68 0a 20 20 20 20 20 20 20 20 41 20 62 61 6c 61 6e 63 65 64 20 60 72 60 2d 61 72 79 20 74 72 ph.........A.balanced.`r`-ary.tr
1960 65 65 20 6f 66 20 68 65 69 67 68 74 20 60 68 60 2e 0a 0a 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 ee.of.height.`h`.......Notes....
1980 20 2d 2d 2d 2d 2d 0a 20 20 20 20 54 68 69 73 20 69 73 20 74 68 65 20 72 6f 6f 74 65 64 20 74 72 .-----.....This.is.the.rooted.tr
19a0 65 65 20 77 68 65 72 65 20 61 6c 6c 20 6c 65 61 76 65 73 20 61 72 65 20 61 74 20 64 69 73 74 61 ee.where.all.leaves.are.at.dista
19c0 6e 63 65 20 60 68 60 20 66 72 6f 6d 0a 20 20 20 20 74 68 65 20 72 6f 6f 74 2e 20 54 68 65 20 72 nce.`h`.from.....the.root..The.r
19e0 6f 6f 74 20 68 61 73 20 64 65 67 72 65 65 20 60 72 60 20 61 6e 64 20 61 6c 6c 20 6f 74 68 65 72 oot.has.degree.`r`.and.all.other
1a00 20 69 6e 74 65 72 6e 61 6c 20 6e 6f 64 65 73 0a 20 20 20 20 68 61 76 65 20 64 65 67 72 65 65 20 .internal.nodes.....have.degree.
1a20 60 72 20 2b 20 31 60 2e 0a 0a 20 20 20 20 4e 6f 64 65 20 6c 61 62 65 6c 73 20 61 72 65 20 69 6e `r.+.1`.......Node.labels.are.in
1a40 74 65 67 65 72 73 2c 20 73 74 61 72 74 69 6e 67 20 66 72 6f 6d 20 7a 65 72 6f 2e 0a 0a 20 20 20 tegers,.starting.from.zero......
1a60 20 41 20 62 61 6c 61 6e 63 65 64 20 74 72 65 65 20 69 73 20 61 6c 73 6f 20 6b 6e 6f 77 6e 20 61 .A.balanced.tree.is.also.known.a
1a80 73 20 61 20 2a 63 6f 6d 70 6c 65 74 65 20 72 2d 61 72 79 20 74 72 65 65 2a 2e 0a 0a 20 20 20 20 s.a.*complete.r-ary.tree*.......
1aa0 e9 01 00 00 00 29 01 72 30 00 00 00 29 01 72 11 00 00 00 29 04 72 24 00 00 00 da 01 68 72 30 00 .....).r0...).r....).r$.....hr0.
1ac0 00 00 72 23 00 00 00 73 04 00 00 00 20 20 20 20 72 2a 00 00 00 72 07 00 00 00 72 07 00 00 00 9a ..r#...s........r*...r....r.....
1ae0 00 00 00 73 41 00 00 00 80 00 f0 52 01 00 08 09 88 41 82 76 d8 0c 0d 90 01 89 45 89 01 f0 08 00 ...sA......R.....A.v......E.....
1b00 0e 0f 90 11 90 71 98 31 91 75 91 1c d1 0d 1d a0 31 a0 71 a1 35 d1 0c 29 88 01 dc 0b 19 98 21 98 .....q.1.u......1.q.5..)......!.
1b20 51 a8 5c d4 0b 3a d0 04 3a 72 32 00 00 00 63 03 00 00 00 00 00 00 00 00 00 00 00 09 00 00 00 03 Q.\..:..:r2...c.................
1b40 00 00 00 f3 f8 01 00 00 87 00 87 01 97 00 89 00 64 01 6b 02 00 00 72 0b 74 01 00 00 00 00 00 00 ................d.k...r.t.......
1b60 00 00 64 02 ab 01 00 00 00 00 00 00 82 01 89 01 64 03 6b 02 00 00 72 0b 74 01 00 00 00 00 00 00 ..d.............d.k...r.t.......
1b80 00 00 64 04 ab 01 00 00 00 00 00 00 82 01 74 03 00 00 00 00 00 00 00 00 89 00 7c 02 ab 02 00 00 ..d...........t...........|.....
1ba0 00 00 00 00 7d 03 7c 03 6a 05 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 ....}.|.j.......................
1bc0 00 00 00 00 72 0b 74 01 00 00 00 00 00 00 00 00 64 05 ab 01 00 00 00 00 00 00 82 01 7c 03 6a 07 ....r.t.........d...........|.j.
1be0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 09 00 00 00 00 00 00 00 00 89 00 89 00 ..................t.............
1c00 89 01 7a 00 00 00 64 06 7a 0a 00 00 ab 02 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 01 00 89 01 ..z...d.z.......................
1c20 64 06 6b 44 00 00 72 27 7c 03 6a 0b 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 0d d.kD..r'|.j...................t.
1c40 00 00 00 00 00 00 00 00 74 09 00 00 00 00 00 00 00 00 89 00 89 00 89 01 7a 00 00 00 ab 02 00 00 ........t...............z.......
1c60 00 00 00 00 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 01 00 7c 03 6a 0b 00 00 00 00 00 00 ......................|.j.......
1c80 00 00 00 00 00 00 00 00 00 00 00 00 88 00 88 01 66 02 64 07 84 08 74 09 00 00 00 00 00 00 00 00 ................f.d...t.........
1ca0 89 00 89 01 7a 00 00 00 64 01 89 00 7a 05 00 00 89 01 7a 00 00 00 ab 02 00 00 00 00 00 00 44 00 ....z...d...z.....z...........D.
1cc0 ab 00 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 01 00 7c 03 6a 0f 00 00 00 00 00 00 00 00 00 00 ..................|.j...........
1ce0 00 00 00 00 00 00 00 00 89 00 64 06 7a 0a 00 00 89 00 ab 02 00 00 00 00 00 00 01 00 89 01 64 03 ..........d.z.................d.
1d00 6b 44 00 00 72 1b 7c 03 6a 0f 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 89 00 89 01 kD..r.|.j.......................
1d20 7a 00 00 00 64 06 7a 0a 00 00 89 00 89 01 7a 00 00 00 ab 02 00 00 00 00 00 00 01 00 7c 03 53 00 z...d.z.......z.............|.S.
1d40 29 08 61 92 04 00 00 52 65 74 75 72 6e 73 20 74 68 65 20 42 61 72 62 65 6c 6c 20 47 72 61 70 68 ).a....Returns.the.Barbell.Graph
1d60 3a 20 74 77 6f 20 63 6f 6d 70 6c 65 74 65 20 67 72 61 70 68 73 20 63 6f 6e 6e 65 63 74 65 64 20 :.two.complete.graphs.connected.
1d80 62 79 20 61 20 70 61 74 68 2e 0a 0a 20 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 by.a.path..........plot::.......
1da0 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 77 28 6e 78 2e 62 61 72 62 65 6c 6c 5f 67 72 61 70 68 28 ...>>>.nx.draw(nx.barbell_graph(
1dc0 34 2c 20 32 29 29 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 4,.2))......Parameters.....-----
1de0 2d 2d 2d 2d 2d 0a 20 20 20 20 6d 31 20 3a 20 69 6e 74 0a 20 20 20 20 20 20 20 20 53 69 7a 65 20 -----.....m1.:.int.........Size.
1e00 6f 66 20 74 68 65 20 6c 65 66 74 20 61 6e 64 20 72 69 67 68 74 20 62 61 72 62 65 6c 6c 73 2c 20 of.the.left.and.right.barbells,.
1e20 6d 75 73 74 20 62 65 20 67 72 65 61 74 65 72 20 74 68 61 6e 20 32 2e 0a 0a 20 20 20 20 6d 32 20 must.be.greater.than.2.......m2.
1e40 3a 20 69 6e 74 0a 20 20 20 20 20 20 20 20 4c 65 6e 67 74 68 20 6f 66 20 74 68 65 20 70 61 74 68 :.int.........Length.of.the.path
1e60 20 63 6f 6e 6e 65 63 74 69 6e 67 20 74 68 65 20 62 61 72 62 65 6c 6c 73 2e 0a 0a 20 20 20 20 63 .connecting.the.barbells.......c
1e80 72 65 61 74 65 5f 75 73 69 6e 67 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 20 63 6f 6e reate_using.:.NetworkX.graph.con
1ea0 73 74 72 75 63 74 6f 72 2c 20 6f 70 74 69 6f 6e 61 6c 20 28 64 65 66 61 75 6c 74 3d 6e 78 2e 47 structor,.optional.(default=nx.G
1ec0 72 61 70 68 29 0a 20 20 20 20 20 20 20 47 72 61 70 68 20 74 79 70 65 20 74 6f 20 63 72 65 61 74 raph)........Graph.type.to.creat
1ee0 65 2e 20 49 66 20 67 72 61 70 68 20 69 6e 73 74 61 6e 63 65 2c 20 74 68 65 6e 20 63 6c 65 61 72 e..If.graph.instance,.then.clear
1f00 65 64 20 62 65 66 6f 72 65 20 70 6f 70 75 6c 61 74 65 64 2e 0a 20 20 20 20 20 20 20 4f 6e 6c 79 ed.before.populated.........Only
1f20 20 75 6e 64 69 72 65 63 74 65 64 20 47 72 61 70 68 73 20 61 72 65 20 73 75 70 70 6f 72 74 65 64 .undirected.Graphs.are.supported
1f40 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 .......Returns.....-------.....G
1f60 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 0a 20 20 20 20 20 20 20 20 41 20 62 61 72 62 .:.NetworkX.graph.........A.barb
1f80 65 6c 6c 20 67 72 61 70 68 2e 0a 0a 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 0a ell.graph.......Notes.....-----.
1fa0 0a 0a 20 20 20 20 54 77 6f 20 69 64 65 6e 74 69 63 61 6c 20 63 6f 6d 70 6c 65 74 65 20 67 72 61 ......Two.identical.complete.gra
1fc0 70 68 73 20 24 4b 5f 7b 6d 31 7d 24 20 66 6f 72 6d 20 74 68 65 20 6c 65 66 74 20 61 6e 64 20 72 phs.$K_{m1}$.form.the.left.and.r
1fe0 69 67 68 74 20 62 65 6c 6c 73 2c 0a 20 20 20 20 61 6e 64 20 61 72 65 20 63 6f 6e 6e 65 63 74 65 ight.bells,.....and.are.connecte
2000 64 20 62 79 20 61 20 70 61 74 68 20 24 50 5f 7b 6d 32 7d 24 2e 0a 0a 20 20 20 20 54 68 65 20 60 d.by.a.path.$P_{m2}$.......The.`
2020 32 2a 6d 31 2b 6d 32 60 20 20 6e 6f 64 65 73 20 61 72 65 20 6e 75 6d 62 65 72 65 64 0a 20 20 20 2*m1+m2`..nodes.are.numbered....
2040 20 20 20 20 20 60 30 2c 20 2e 2e 2e 2c 20 6d 31 2d 31 60 20 66 6f 72 20 74 68 65 20 6c 65 66 74 .....`0,....,.m1-1`.for.the.left
2060 20 62 61 72 62 65 6c 6c 2c 0a 20 20 20 20 20 20 20 20 60 6d 31 2c 20 2e 2e 2e 2c 20 6d 31 2b 6d .barbell,.........`m1,....,.m1+m
2080 32 2d 31 60 20 66 6f 72 20 74 68 65 20 70 61 74 68 2c 0a 20 20 20 20 20 20 20 20 61 6e 64 20 60 2-1`.for.the.path,.........and.`
20a0 6d 31 2b 6d 32 2c 20 2e 2e 2e 2c 20 32 2a 6d 31 2b 6d 32 2d 31 60 20 66 6f 72 20 74 68 65 20 72 m1+m2,....,.2*m1+m2-1`.for.the.r
20c0 69 67 68 74 20 62 61 72 62 65 6c 6c 2e 0a 0a 20 20 20 20 54 68 65 20 33 20 73 75 62 67 72 61 70 ight.barbell.......The.3.subgrap
20e0 68 73 20 61 72 65 20 6a 6f 69 6e 65 64 20 76 69 61 20 74 68 65 20 65 64 67 65 73 20 60 28 6d 31 hs.are.joined.via.the.edges.`(m1
2100 2d 31 2c 20 6d 31 29 60 20 61 6e 64 0a 20 20 20 20 60 28 6d 31 2b 6d 32 2d 31 2c 20 6d 31 2b 6d -1,.m1)`.and.....`(m1+m2-1,.m1+m
2120 32 29 60 2e 20 49 66 20 60 6d 32 3d 30 60 2c 20 74 68 69 73 20 69 73 20 6d 65 72 65 6c 79 20 74 2)`..If.`m2=0`,.this.is.merely.t
2140 77 6f 20 63 6f 6d 70 6c 65 74 65 0a 20 20 20 20 67 72 61 70 68 73 20 6a 6f 69 6e 65 64 20 74 6f wo.complete.....graphs.joined.to
2160 67 65 74 68 65 72 2e 0a 0a 20 20 20 20 54 68 69 73 20 67 72 61 70 68 20 69 73 20 61 6e 20 65 78 gether.......This.graph.is.an.ex
2180 74 72 65 6d 61 6c 20 65 78 61 6d 70 6c 65 20 69 6e 20 44 61 76 69 64 20 41 6c 64 6f 75 73 0a 20 tremal.example.in.David.Aldous..
21a0 20 20 20 61 6e 64 20 4a 69 6d 20 46 69 6c 6c 27 73 20 65 2d 74 65 78 74 20 6f 6e 20 52 61 6e 64 ...and.Jim.Fill's.e-text.on.Rand
21c0 6f 6d 20 57 61 6c 6b 73 20 6f 6e 20 47 72 61 70 68 73 2e 0a 0a 20 20 20 20 72 34 00 00 00 7a 2b om.Walks.on.Graphs.......r4...z+
21e0 49 6e 76 61 6c 69 64 20 67 72 61 70 68 20 64 65 73 63 72 69 70 74 69 6f 6e 2c 20 6d 31 20 73 68 Invalid.graph.description,.m1.sh
2200 6f 75 6c 64 20 62 65 20 3e 3d 32 72 02 00 00 00 7a 2b 49 6e 76 61 6c 69 64 20 67 72 61 70 68 20 ould.be.>=2r....z+Invalid.graph.
2220 64 65 73 63 72 69 70 74 69 6f 6e 2c 20 6d 32 20 73 68 6f 75 6c 64 20 62 65 20 3e 3d 30 fa 1c 44 description,.m2.should.be.>=0..D
2240 69 72 65 63 74 65 64 20 47 72 61 70 68 20 6e 6f 74 20 73 75 70 70 6f 72 74 65 64 72 47 00 00 00 irected.Graph.not.supportedrG...
2260 63 01 00 00 00 00 00 00 00 00 00 00 00 06 00 00 00 33 00 00 00 f3 5a 00 00 00 95 02 4b 00 01 00 c................3....Z.....K...
2280 97 00 7c 00 5d 22 00 00 7d 01 74 01 00 00 00 00 00 00 00 00 7c 01 64 00 7a 00 00 00 64 01 89 03 ..|.]"..}.t.........|.d.z...d...
22a0 7a 05 00 00 89 04 7a 00 00 00 ab 02 00 00 00 00 00 00 44 00 5d 08 00 00 7d 02 7c 01 7c 02 66 02 z.....z...........D.]...}.|.|.f.
22c0 96 01 97 01 01 00 8c 0a 04 00 8c 24 04 00 79 02 ad 03 77 01 29 03 72 47 00 00 00 72 34 00 00 00 ...........$..y...w.).rG...r4...
22e0 4e 29 01 72 1e 00 00 00 29 05 72 38 00 00 00 da 01 75 da 01 76 da 02 6d 31 da 02 6d 32 73 05 00 N).r....).r8.....u..v..m1..m2s..
2300 00 00 20 20 20 80 80 72 2a 00 00 00 72 3e 00 00 00 7a 20 62 61 72 62 65 6c 6c 5f 67 72 61 70 68 .......r*...r>...z.barbell_graph
2320 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 70 72 3e 09 01 00 00 73 40 00 00 00 f8 e8 00 f8 .<locals>.<genexpr>....s@.......
2340 80 00 f2 00 02 15 06 d8 13 14 bc 55 c0 31 c0 71 c1 35 c8 21 c8 62 c9 26 d0 53 55 c9 2b d3 3d 56 ...........U.1.q.5.!.b.&.SU.+.=V
2360 f2 03 02 15 06 d8 38 39 88 11 88 41 8c 06 f0 03 02 15 06 d8 08 0e f1 03 02 15 06 f9 72 3f 00 00 ......89...A................r?..
2380 00 29 08 72 04 00 00 00 72 0a 00 00 00 da 0b 69 73 5f 64 69 72 65 63 74 65 64 72 44 00 00 00 72 .).r....r......is_directedrD...r
23a0 1e 00 00 00 72 2f 00 00 00 72 06 00 00 00 da 08 61 64 64 5f 65 64 67 65 29 04 72 4e 00 00 00 72 ....r/...r......add_edge).rN...r
23c0 4f 00 00 00 72 30 00 00 00 72 31 00 00 00 73 04 00 00 00 60 60 20 20 72 2a 00 00 00 72 08 00 00 O...r0...r1...s....``..r*...r...
23e0 00 72 08 00 00 00 cc 00 00 00 73 fd 00 00 00 f9 80 00 f0 5a 01 00 08 0a 88 41 82 76 dc 0e 1b d0 .r........s........Z.....A.v....
2400 1c 49 d3 0e 4a d0 08 4a d8 07 09 88 41 82 76 dc 0e 1b d0 1c 49 d3 0e 4a d0 08 4a f4 06 00 09 17 .I..J..J....A.v.....I..J..J.....
2420 90 72 98 3c d3 08 28 80 41 d8 07 08 87 7d 81 7d 84 7f dc 0e 1b d0 1c 3a d3 0e 3b d0 08 3b f0 06 .r.<..(.A....}.}.......:..;..;..
2440 00 05 06 d7 04 14 d1 04 14 94 55 98 32 98 72 a0 42 99 77 a8 11 99 7b d3 15 2b d4 04 2c d8 07 09 ..........U.2.r.B.w...{..+..,...
2460 88 41 82 76 d8 08 09 d7 08 18 d1 08 18 9c 18 a4 25 a8 02 a8 42 b0 12 a9 47 d3 22 34 d3 19 35 d4 .A.v............%...B...G."4..5.
2480 08 36 f0 06 00 05 06 d7 04 14 d1 04 14 f4 00 02 15 06 dc 18 1d 98 62 a0 32 99 67 a0 71 a8 32 a1 .6....................b.2.g.q.2.
24a0 76 b0 02 a1 7b d3 18 33 f4 03 02 15 06 f4 00 02 05 06 f0 0a 00 05 06 87 4a 81 4a 88 72 90 41 89 v...{..3................J.J.r.A.
24c0 76 90 72 d4 04 1a d8 07 09 88 41 82 76 d8 08 09 8f 0a 89 0a 90 32 98 02 91 37 98 51 91 3b a0 02 v.r.......A.v........2...7.Q.;..
24e0 a0 52 a1 07 d4 08 28 e0 0b 0c 80 48 72 32 00 00 00 63 02 00 00 00 00 00 00 00 00 00 00 00 08 00 .R....(....Hr2...c..............
2500 00 00 03 00 00 00 f3 06 01 00 00 97 00 74 01 00 00 00 00 00 00 00 00 6a 02 00 00 00 00 00 00 00 .............t.........j........
2520 00 00 00 00 00 00 00 00 00 00 00 64 01 7c 01 ab 02 00 00 00 00 00 00 7d 02 64 01 7d 03 74 05 00 ...........d.|.........}.d.}.t..
2540 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 44 00 5d 54 00 00 7d 04 7c 02 6a 07 00 00 00 .......|.........D.]T..}.|.j....
2560 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 44 00 8f 05 8f 06 63 03 67 .......................D.....c.g
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25a0 02 91 02 8c 11 04 00 7d 07 7d 05 7d 06 7c 02 6a 09 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .......}.}.}.|.j................
25c0 00 00 00 7c 07 ab 01 00 00 00 00 00 00 01 00 7c 02 6a 0b 00 00 00 00 00 00 00 00 00 00 00 00 00 ...|...........|.j..............
25e0 00 00 00 00 00 64 02 7c 03 ab 02 00 00 00 00 00 00 01 00 7c 03 64 03 7a 12 00 00 7d 03 8c 56 04 .....d.|...........|.d.z...}..V.
2600 00 7c 02 53 00 63 02 01 00 63 03 7d 06 7d 05 77 00 29 04 61 9d 02 00 00 52 65 74 75 72 6e 73 20 .|.S.c...c.}.}.w.).a....Returns.
2620 74 68 65 20 42 69 6e 6f 6d 69 61 6c 20 54 72 65 65 20 6f 66 20 6f 72 64 65 72 20 6e 2e 0a 0a 20 the.Binomial.Tree.of.order.n....
2640 20 20 20 54 68 65 20 62 69 6e 6f 6d 69 61 6c 20 74 72 65 65 20 6f 66 20 6f 72 64 65 72 20 30 20 ...The.binomial.tree.of.order.0.
2660 63 6f 6e 73 69 73 74 73 20 6f 66 20 61 20 73 69 6e 67 6c 65 20 6e 6f 64 65 2e 20 41 20 62 69 6e consists.of.a.single.node..A.bin
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26a0 69 6e 65 64 20 72 65 63 75 72 73 69 76 65 6c 79 20 62 79 20 6c 69 6e 6b 69 6e 67 20 74 77 6f 20 ined.recursively.by.linking.two.
26c0 62 69 6e 6f 6d 69 61 6c 20 74 72 65 65 73 20 6f 66 20 6f 72 64 65 72 20 6b 2d 31 3a 20 74 68 65 binomial.trees.of.order.k-1:.the
26e0 20 72 6f 6f 74 20 6f 66 20 6f 6e 65 20 69 73 0a 20 20 20 20 74 68 65 20 6c 65 66 74 6d 6f 73 74 .root.of.one.is.....the.leftmost
2700 20 63 68 69 6c 64 20 6f 66 20 74 68 65 20 72 6f 6f 74 20 6f 66 20 74 68 65 20 6f 74 68 65 72 2e .child.of.the.root.of.the.other.
2720 0a 0a 20 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6e 78 2e .........plot::..........>>>.nx.
2740 64 72 61 77 28 6e 78 2e 62 69 6e 6f 6d 69 61 6c 5f 74 72 65 65 28 33 29 29 0a 0a 20 20 20 20 50 draw(nx.binomial_tree(3))......P
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2780 20 69 6e 74 0a 20 20 20 20 20 20 20 20 4f 72 64 65 72 20 6f 66 20 74 68 65 20 62 69 6e 6f 6d 69 .int.........Order.of.the.binomi
27a0 61 6c 20 74 72 65 65 2e 0a 0a 20 20 20 20 63 72 65 61 74 65 5f 75 73 69 6e 67 20 3a 20 4e 65 74 al.tree.......create_using.:.Net
27c0 77 6f 72 6b 58 20 67 72 61 70 68 20 63 6f 6e 73 74 72 75 63 74 6f 72 2c 20 6f 70 74 69 6f 6e 61 workX.graph.constructor,.optiona
27e0 6c 20 28 64 65 66 61 75 6c 74 3d 6e 78 2e 47 72 61 70 68 29 0a 20 20 20 20 20 20 20 47 72 61 70 l.(default=nx.Graph)........Grap
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2820 6e 63 65 2c 20 74 68 65 6e 20 63 6c 65 61 72 65 64 20 62 65 66 6f 72 65 20 70 6f 70 75 6c 61 74 nce,.then.cleared.before.populat
2840 65 64 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 ed.......Returns.....-------....
2860 20 47 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 0a 20 20 20 20 20 20 20 20 41 20 62 69 .G.:.NetworkX.graph.........A.bi
2880 6e 6f 6d 69 61 6c 20 74 72 65 65 20 6f 66 20 24 32 5e 6e 24 20 6e 6f 64 65 73 20 61 6e 64 20 24 nomial.tree.of.$2^n$.nodes.and.$
28a0 32 5e 6e 20 2d 20 31 24 20 65 64 67 65 73 2e 0a 0a 20 20 20 20 72 47 00 00 00 72 02 00 00 00 72 2^n.-.1$.edges.......rG...r....r
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2900 4c 00 00 00 72 4d 00 00 00 72 53 00 00 00 73 08 00 00 00 20 20 20 20 20 20 20 20 72 2a 00 00 00 L...rM...rS...s............r*...
2920 72 09 00 00 00 72 09 00 00 00 15 01 00 00 73 86 00 00 00 80 00 f4 34 00 09 0b 8f 0e 89 0e 90 71 r....r........s.......4........q
2940 98 2c d3 08 27 80 41 e0 08 09 80 41 dc 0d 12 90 31 8b 58 f2 00 05 05 0f 88 01 e0 2e 2f af 67 a9 .,..'.A....A....1.X........./.g.
2960 67 ab 69 d7 10 38 a1 46 a0 51 a8 01 90 21 90 61 91 25 98 11 98 51 99 15 92 1e d0 10 38 88 05 d1 g.i..8.F.Q...!.a.%...Q......8...
2980 10 38 d8 08 09 d7 08 18 d1 08 18 98 15 d4 08 1f d8 08 09 8f 0a 89 0a 90 31 90 61 d4 08 18 d8 08 .8......................1.a.....
29a0 09 88 51 89 06 89 01 f0 0b 05 05 0f f0 0c 00 0c 0d 80 48 f9 f3 09 00 11 39 73 05 00 00 00 ba 14 ..Q...............H.....9s......
29c0 41 3d 08 63 02 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 03 00 00 00 f3 e0 00 00 00 97 00 7c A=.c...........................|
29e0 00 5c 02 00 00 7d 02 7d 03 74 01 00 00 00 00 00 00 00 00 7c 03 7c 01 ab 02 00 00 00 00 00 00 7d .\...}.}.t.........|.|.........}
2a00 04 74 03 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 64 01 6b 44 00 00 72 4e 7c 04 6a .t.........|.........d.kD..rN|.j
2a20 05 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 72 17 74 07 00 ...........................r.t..
2a40 00 00 00 00 00 00 00 6a 08 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 03 64 02 ab .......j...................|.d..
2a60 02 00 00 00 00 00 00 7d 05 6e 16 74 07 00 00 00 00 00 00 00 00 6a 0a 00 00 00 00 00 00 00 00 00 .......}.n.t.........j..........
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2ae0 5f 6e 60 20 77 69 74 68 20 6e 20 6e 6f 64 65 73 2e 0a 0a 20 20 20 20 41 20 63 6f 6d 70 6c 65 74 _n`.with.n.nodes.......A.complet
2b00 65 20 67 72 61 70 68 20 6f 6e 20 60 6e 60 20 6e 6f 64 65 73 20 6d 65 61 6e 73 20 74 68 61 74 20 e.graph.on.`n`.nodes.means.that.
2b20 61 6c 6c 20 70 61 69 72 73 0a 20 20 20 20 6f 66 20 64 69 73 74 69 6e 63 74 20 6e 6f 64 65 73 20 all.pairs.....of.distinct.nodes.
2b40 68 61 76 65 20 61 6e 20 65 64 67 65 20 63 6f 6e 6e 65 63 74 69 6e 67 20 74 68 65 6d 2e 0a 0a 20 have.an.edge.connecting.them....
2b60 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 ......plot::..........>>>.nx.dra
2b80 77 28 6e 78 2e 63 6f 6d 70 6c 65 74 65 5f 67 72 61 70 68 28 35 29 29 0a 0a 20 20 20 20 50 61 72 w(nx.complete_graph(5))......Par
2ba0 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 6e 20 3a 20 69 ameters.....----------.....n.:.i
2bc0 6e 74 20 6f 72 20 69 74 65 72 61 62 6c 65 20 63 6f 6e 74 61 69 6e 65 72 20 6f 66 20 6e 6f 64 65 nt.or.iterable.container.of.node
2be0 73 0a 20 20 20 20 20 20 20 20 49 66 20 6e 20 69 73 20 61 6e 20 69 6e 74 65 67 65 72 2c 20 6e 6f s.........If.n.is.an.integer,.no
2c00 64 65 73 20 61 72 65 20 66 72 6f 6d 20 72 61 6e 67 65 28 6e 29 2e 0a 20 20 20 20 20 20 20 20 49 des.are.from.range(n)..........I
2c20 66 20 6e 20 69 73 20 61 20 63 6f 6e 74 61 69 6e 65 72 20 6f 66 20 6e 6f 64 65 73 2c 20 74 68 6f f.n.is.a.container.of.nodes,.tho
2c40 73 65 20 6e 6f 64 65 73 20 61 70 70 65 61 72 20 69 6e 20 74 68 65 20 67 72 61 70 68 2e 0a 20 20 se.nodes.appear.in.the.graph....
2c60 20 20 20 20 20 20 57 61 72 6e 69 6e 67 3a 20 6e 20 69 73 20 6e 6f 74 20 63 68 65 63 6b 65 64 20 ......Warning:.n.is.not.checked.
2c80 66 6f 72 20 64 75 70 6c 69 63 61 74 65 73 20 61 6e 64 20 69 66 20 70 72 65 73 65 6e 74 20 74 68 for.duplicates.and.if.present.th
2ca0 65 0a 20 20 20 20 20 20 20 20 72 65 73 75 6c 74 69 6e 67 20 67 72 61 70 68 20 6d 61 79 20 6e 6f e.........resulting.graph.may.no
2cc0 74 20 62 65 20 61 73 20 64 65 73 69 72 65 64 2e 20 4d 61 6b 65 20 73 75 72 65 20 79 6f 75 20 68 t.be.as.desired..Make.sure.you.h
2ce0 61 76 65 20 6e 6f 20 64 75 70 6c 69 63 61 74 65 73 2e 0a 20 20 20 20 63 72 65 61 74 65 5f 75 73 ave.no.duplicates......create_us
2d00 69 6e 67 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 20 63 6f 6e 73 74 72 75 63 74 6f 72 ing.:.NetworkX.graph.constructor
2d20 2c 20 6f 70 74 69 6f 6e 61 6c 20 28 64 65 66 61 75 6c 74 3d 6e 78 2e 47 72 61 70 68 29 0a 20 20 ,.optional.(default=nx.Graph)...
2d40 20 20 20 20 20 47 72 61 70 68 20 74 79 70 65 20 74 6f 20 63 72 65 61 74 65 2e 20 49 66 20 67 72 .....Graph.type.to.create..If.gr
2d60 61 70 68 20 69 6e 73 74 61 6e 63 65 2c 20 74 68 65 6e 20 63 6c 65 61 72 65 64 20 62 65 66 6f 72 aph.instance,.then.cleared.befor
2d80 65 20 70 6f 70 75 6c 61 74 65 64 2e 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 2d e.populated.......Examples.....-
2da0 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 63 6f 6d 70 6c 65 74 65 5f -------.....>>>.G.=.nx.complete_
2dc0 67 72 61 70 68 28 39 29 0a 20 20 20 20 3e 3e 3e 20 6c 65 6e 28 47 29 0a 20 20 20 20 39 0a 20 20 graph(9).....>>>.len(G).....9...
2de0 20 20 3e 3e 3e 20 47 2e 73 69 7a 65 28 29 0a 20 20 20 20 33 36 0a 20 20 20 20 3e 3e 3e 20 47 20 ..>>>.G.size().....36.....>>>.G.
2e00 3d 20 6e 78 2e 63 6f 6d 70 6c 65 74 65 5f 67 72 61 70 68 28 72 61 6e 67 65 28 31 31 2c 20 31 34 =.nx.complete_graph(range(11,.14
2e20 29 29 0a 20 20 20 20 3e 3e 3e 20 6c 69 73 74 28 47 2e 6e 6f 64 65 73 28 29 29 0a 20 20 20 20 5b )).....>>>.list(G.nodes()).....[
2e40 31 31 2c 20 31 32 2c 20 31 33 5d 0a 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 63 6f 6d 70 6c 11,.12,.13].....>>>.G.=.nx.compl
2e60 65 74 65 5f 67 72 61 70 68 28 34 2c 20 6e 78 2e 44 69 47 72 61 70 68 28 29 29 0a 20 20 20 20 3e ete_graph(4,.nx.DiGraph()).....>
2e80 3e 3e 20 47 2e 69 73 5f 64 69 72 65 63 74 65 64 28 29 0a 20 20 20 20 54 72 75 65 0a 0a 20 20 20 >>.G.is_directed().....True.....
2ea0 20 72 47 00 00 00 72 34 00 00 00 29 07 72 10 00 00 00 da 03 6c 65 6e 72 50 00 00 00 72 42 00 00 .rG...r4...).r......lenrP...rB..
2ec0 00 da 0c 70 65 72 6d 75 74 61 74 69 6f 6e 73 72 43 00 00 00 72 2f 00 00 00 29 06 72 23 00 00 00 ...permutationsrC...r/...).r#...
2ee0 72 30 00 00 00 da 01 5f 72 25 00 00 00 72 31 00 00 00 72 53 00 00 00 73 06 00 00 00 20 20 20 20 r0....._r%...r1...rS...s........
2f00 20 20 72 2a 00 00 00 72 0a 00 00 00 72 0a 00 00 00 3b 01 00 00 73 65 00 00 00 80 00 f0 4a 01 00 ..r*...r....r....;...se......J..
2f20 10 11 81 48 80 41 80 75 dc 08 13 90 45 98 3c d3 08 28 80 41 dc 07 0a 88 35 83 7a 90 41 82 7e d8 ...H.A.u....E.<..(.A....5.z.A.~.
2f40 0b 0c 8f 3d 89 3d 8c 3f dc 14 1d d7 14 2a d1 14 2a a8 35 b0 21 d3 14 34 89 45 e4 14 1d d7 14 2a ...=.=.?.....*..*.5.!..4.E.....*
2f60 d1 14 2a a8 35 b0 21 d3 14 34 88 45 d8 08 09 d7 08 18 d1 08 18 98 15 d4 08 1f d8 0b 0c 80 48 72 ..*.5.!..4.E..................Hr
2f80 32 00 00 00 63 02 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 03 00 00 00 f3 78 00 00 00 97 00 2...c.....................x.....
2fa0 74 01 00 00 00 00 00 00 00 00 7c 00 7c 01 ab 02 00 00 00 00 00 00 7d 02 7c 02 6a 03 00 00 00 00 t.........|.|.........}.|.j.....
2fc0 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 01 7c 00 64 02 7a 0a 00 00 ab 02 00 00 00 00 00 00 ..............d.|.d.z...........
2fe0 01 00 7c 02 6a 03 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 64 03 7c 00 7a 05 ..|.j...................|.d.|.z.
3000 00 00 64 02 7a 0a 00 00 ab 02 00 00 00 00 00 00 01 00 7c 02 53 00 29 04 61 23 01 00 00 52 65 74 ..d.z.............|.S.).a#...Ret
3020 75 72 6e 73 20 74 68 65 20 63 69 72 63 75 6c 61 72 20 6c 61 64 64 65 72 20 67 72 61 70 68 20 24 urns.the.circular.ladder.graph.$
3040 43 4c 5f 6e 24 20 6f 66 20 6c 65 6e 67 74 68 20 6e 2e 0a 0a 20 20 20 20 24 43 4c 5f 6e 24 20 63 CL_n$.of.length.n.......$CL_n$.c
3060 6f 6e 73 69 73 74 73 20 6f 66 20 74 77 6f 20 63 6f 6e 63 65 6e 74 72 69 63 20 6e 2d 63 79 63 6c onsists.of.two.concentric.n-cycl
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30a0 69 72 73 20 6f 66 20 63 6f 6e 63 65 6e 74 72 69 63 20 6e 6f 64 65 73 20 61 72 65 20 6a 6f 69 6e irs.of.concentric.nodes.are.join
30c0 65 64 20 62 79 20 61 6e 20 65 64 67 65 2e 0a 0a 20 20 20 20 4e 6f 64 65 20 6c 61 62 65 6c 73 20 ed.by.an.edge.......Node.labels.
30e0 61 72 65 20 74 68 65 20 69 6e 74 65 67 65 72 73 20 30 20 74 6f 20 6e 2d 31 0a 0a 20 20 20 20 2e are.the.integers.0.to.n-1.......
3100 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 77 28 6e 78 ..plot::..........>>>.nx.draw(nx
3120 2e 63 69 72 63 75 6c 61 72 5f 6c 61 64 64 65 72 5f 67 72 61 70 68 28 35 29 29 0a 0a 20 20 20 20 .circular_ladder_graph(5))......
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3160 00 00 72 30 00 00 00 72 31 00 00 00 73 03 00 00 00 20 20 20 72 2a 00 00 00 72 0c 00 00 00 72 0c ..r0...r1...s.......r*...r....r.
3180 00 00 00 6b 01 00 00 73 3d 00 00 00 80 00 f4 1c 00 09 15 90 51 98 0c d3 08 25 80 41 d8 04 05 87 ...k...s=...........Q....%.A....
31a0 4a 81 4a 88 71 90 21 90 61 91 25 d4 04 18 d8 04 05 87 4a 81 4a 88 71 90 21 90 61 91 25 98 21 91 J.J.q.!.a.%.......J.J.q.!.a.%.!.
31c0 29 d4 04 1c d8 0b 0c 80 48 72 32 00 00 00 63 03 00 00 00 00 00 00 00 00 00 00 00 07 00 00 00 03 ).......Hr2...c.................
31e0 00 00 00 f3 ac 00 00 00 97 00 74 01 00 00 00 00 00 00 00 00 7c 00 7c 02 ab 02 00 00 00 00 00 00 ..........t.........|.|.........
3200 7d 03 74 03 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 44 00 5d 39 00 00 7d 04 7c 01 }.t.........|.........D.]9..}.|.
3220 44 00 5d 32 00 00 7d 05 7c 03 6a 05 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 04 D.]2..}.|.j...................|.
3240 7c 04 7c 05 7a 0a 00 00 7c 00 7a 06 00 00 ab 02 00 00 00 00 00 00 01 00 7c 03 6a 05 00 00 00 00 |.|.z...|.z.............|.j.....
3260 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 04 7c 04 7c 05 7a 00 00 00 7c 00 7a 06 00 00 ab 02 ..............|.|.|.z...|.z.....
3280 00 00 00 00 00 00 01 00 8c 34 04 00 8c 3b 04 00 7c 03 53 00 29 01 61 f5 06 00 00 52 65 74 75 72 .........4...;..|.S.).a....Retur
32a0 6e 73 20 74 68 65 20 63 69 72 63 75 6c 61 6e 74 20 67 72 61 70 68 20 24 43 69 5f 6e 28 78 5f 31 ns.the.circulant.graph.$Ci_n(x_1
32c0 2c 20 78 5f 32 2c 20 2e 2e 2e 2c 20 78 5f 6d 29 24 20 77 69 74 68 20 24 6e 24 20 6e 6f 64 65 73 ,.x_2,....,.x_m)$.with.$n$.nodes
32e0 2e 0a 0a 20 20 20 20 54 68 65 20 63 69 72 63 75 6c 61 6e 74 20 67 72 61 70 68 20 24 43 69 5f 6e .......The.circulant.graph.$Ci_n
3300 28 78 5f 31 2c 20 2e 2e 2e 2c 20 78 5f 6d 29 24 20 63 6f 6e 73 69 73 74 73 20 6f 66 20 24 6e 24 (x_1,....,.x_m)$.consists.of.$n$
3320 20 6e 6f 64 65 73 20 24 30 2c 20 2e 2e 2e 2c 20 6e 2d 31 24 0a 20 20 20 20 73 75 63 68 20 74 68 .nodes.$0,....,.n-1$.....such.th
3340 61 74 20 6e 6f 64 65 20 24 69 24 20 69 73 20 63 6f 6e 6e 65 63 74 65 64 20 74 6f 20 6e 6f 64 65 at.node.$i$.is.connected.to.node
3360 73 20 24 28 69 20 2b 20 78 29 20 5c 6d 6f 64 20 6e 24 20 61 6e 64 20 24 28 69 20 2d 20 78 29 20 s.$(i.+.x).\mod.n$.and.$(i.-.x).
3380 5c 6d 6f 64 20 6e 24 0a 20 20 20 20 66 6f 72 20 61 6c 6c 20 24 78 24 20 69 6e 20 24 78 5f 31 2c \mod.n$.....for.all.$x$.in.$x_1,
33a0 20 2e 2e 2e 2c 20 78 5f 6d 24 2e 20 54 68 75 73 20 24 43 69 5f 6e 28 31 29 24 20 69 73 20 61 20 ....,.x_m$..Thus.$Ci_n(1)$.is.a.
33c0 63 79 63 6c 65 20 67 72 61 70 68 2e 0a 0a 20 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 cycle.graph..........plot::.....
33e0 20 20 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 77 28 6e 78 2e 63 69 72 63 75 6c 61 6e 74 5f 67 72 .....>>>.nx.draw(nx.circulant_gr
3400 61 70 68 28 31 30 2c 20 5b 31 5d 29 29 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 aph(10,.[1]))......Parameters...
3420 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 6e 20 3a 20 69 6e 74 65 67 65 72 0a 20 20 20 ..----------.....n.:.integer....
3440 20 20 20 20 20 54 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 6e 6f 64 65 73 20 69 6e 20 74 68 65 20 .....The.number.of.nodes.in.the.
3460 67 72 61 70 68 2e 0a 20 20 20 20 6f 66 66 73 65 74 73 20 3a 20 6c 69 73 74 20 6f 66 20 69 6e 74 graph......offsets.:.list.of.int
3480 65 67 65 72 73 0a 20 20 20 20 20 20 20 20 41 20 6c 69 73 74 20 6f 66 20 6e 6f 64 65 20 6f 66 66 egers.........A.list.of.node.off
34a0 73 65 74 73 2c 20 24 78 5f 31 24 20 75 70 20 74 6f 20 24 78 5f 6d 24 2c 20 61 73 20 64 65 73 63 sets,.$x_1$.up.to.$x_m$,.as.desc
34c0 72 69 62 65 64 20 61 62 6f 76 65 2e 0a 20 20 20 20 63 72 65 61 74 65 5f 75 73 69 6e 67 20 3a 20 ribed.above......create_using.:.
34e0 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 20 63 6f 6e 73 74 72 75 63 74 6f 72 2c 20 6f 70 74 69 NetworkX.graph.constructor,.opti
3500 6f 6e 61 6c 20 28 64 65 66 61 75 6c 74 3d 6e 78 2e 47 72 61 70 68 29 0a 20 20 20 20 20 20 20 47 onal.(default=nx.Graph)........G
3520 72 61 70 68 20 74 79 70 65 20 74 6f 20 63 72 65 61 74 65 2e 20 49 66 20 67 72 61 70 68 20 69 6e raph.type.to.create..If.graph.in
3540 73 74 61 6e 63 65 2c 20 74 68 65 6e 20 63 6c 65 61 72 65 64 20 62 65 66 6f 72 65 20 70 6f 70 75 stance,.then.cleared.before.popu
3560 6c 61 74 65 64 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a lated.......Returns.....-------.
3580 20 20 20 20 4e 65 74 77 6f 72 6b 58 20 47 72 61 70 68 20 6f 66 20 74 79 70 65 20 63 72 65 61 74 ....NetworkX.Graph.of.type.creat
35a0 65 5f 75 73 69 6e 67 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d e_using......Examples.....------
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4b40 20 74 6f 20 63 72 65 61 74 65 20 61 6e 20 65 6d 70 74 79 20 67 72 61 70 68 2e 0a 20 20 20 20 64 .to.create.an.empty.graph......d
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4bc0 74 65 5f 75 73 69 6e 67 20 69 73 20 4e 6f 6e 65 2e 0a 20 20 20 20 20 20 20 20 49 66 20 4e 6f 6e te_using.is.None..........If.Non
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4c20 6e 6b 6e 6f 77 6e 20 60 63 72 65 61 74 65 5f 75 73 69 6e 67 60 20 76 61 6c 75 65 0a 20 20 20 20 nknown.`create_using`.value.....
4c40 20 20 20 20 74 68 72 6f 75 67 68 20 79 6f 75 72 20 68 6f 6d 65 2d 67 72 6f 77 6e 20 66 75 6e 63 ....through.your.home-grown.func
4c60 74 69 6f 6e 20 74 6f 20 60 65 6d 70 74 79 5f 67 72 61 70 68 60 20 61 6e 64 0a 20 20 20 20 20 20 tion.to.`empty_graph`.and.......
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4ca0 20 6f 74 68 65 72 20 74 68 61 6e 20 6e 78 2e 47 72 61 70 68 2e 0a 0a 20 20 20 20 45 78 61 6d 70 .other.than.nx.Graph.......Examp
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4ee0 74 68 20 6e 6f 64 65 73 20 73 70 65 63 69 66 69 65 64 20 69 6e 20 6e 2e 20 54 68 69 73 20 63 61 th.nodes.specified.in.n..This.ca
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5020 2e 20 20 46 6f 72 20 65 78 61 6d 70 6c 65 2c 0a 0a 20 20 20 20 3e 3e 3e 20 6e 20 3d 20 31 30 0a ...For.example,......>>>.n.=.10.
5040 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 65 6d 70 74 79 5f 67 72 61 70 68 28 6e 2c 20 63 72 ....>>>.G.=.nx.empty_graph(n,.cr
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5b40 7a 00 00 00 6b 37 00 00 72 0b 74 03 00 00 00 00 00 00 00 00 64 05 ab 01 00 00 00 00 00 00 82 01 z...k7..r.t.........d...........
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5b80 00 00 00 00 00 00 00 00 00 00 7c 03 64 07 19 00 00 00 7c 05 64 06 19 00 00 00 ab 02 00 00 00 00 ..........|.d.....|.d...........
5ba0 00 00 01 00 7c 07 53 00 29 08 61 a0 04 00 00 52 65 74 75 72 6e 73 20 74 68 65 20 4c 6f 6c 6c 69 ....|.S.).a....Returns.the.Lolli
5bc0 70 6f 70 20 47 72 61 70 68 3b 20 60 60 4b 5f 6d 60 60 20 63 6f 6e 6e 65 63 74 65 64 20 74 6f 20 pop.Graph;.``K_m``.connected.to.
5be0 60 60 50 5f 6e 60 60 2e 0a 0a 20 20 20 20 54 68 69 73 20 69 73 20 74 68 65 20 42 61 72 62 65 6c ``P_n``.......This.is.the.Barbel
5c00 6c 20 47 72 61 70 68 20 77 69 74 68 6f 75 74 20 74 68 65 20 72 69 67 68 74 20 62 61 72 62 65 6c l.Graph.without.the.right.barbel
5c20 6c 2e 0a 0a 20 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6e l..........plot::..........>>>.n
5c40 78 2e 64 72 61 77 28 6e 78 2e 6c 6f 6c 6c 69 70 6f 70 5f 67 72 61 70 68 28 33 2c 20 34 29 29 0a x.draw(nx.lollipop_graph(3,.4)).
5c60 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 .....Parameters.....----------..
5c80 20 20 20 6d 2c 20 6e 20 3a 20 69 6e 74 20 6f 72 20 69 74 65 72 61 62 6c 65 20 63 6f 6e 74 61 69 ...m,.n.:.int.or.iterable.contai
5ca0 6e 65 72 20 6f 66 20 6e 6f 64 65 73 0a 20 20 20 20 20 20 20 20 49 66 20 61 6e 20 69 6e 74 65 67 ner.of.nodes.........If.an.integ
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5ce0 61 6e 64 20 60 60 72 61 6e 67 65 28 6d 2c 20 6d 2b 6e 29 60 60 2e 0a 20 20 20 20 20 20 20 20 49 and.``range(m,.m+n)``..........I
5d00 66 20 61 20 63 6f 6e 74 61 69 6e 65 72 20 6f 66 20 6e 6f 64 65 73 2c 20 74 68 6f 73 65 20 6e 6f f.a.container.of.nodes,.those.no
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5d40 20 57 61 72 6e 69 6e 67 3a 20 60 6d 60 20 61 6e 64 20 60 6e 60 20 61 72 65 20 6e 6f 74 20 63 68 .Warning:.`m`.and.`n`.are.not.ch
5d60 65 63 6b 65 64 20 66 6f 72 20 64 75 70 6c 69 63 61 74 65 73 20 61 6e 64 20 69 66 20 70 72 65 73 ecked.for.duplicates.and.if.pres
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5da0 6d 61 79 20 6e 6f 74 20 62 65 20 61 73 20 64 65 73 69 72 65 64 2e 20 4d 61 6b 65 20 73 75 72 65 may.not.be.as.desired..Make.sure
5dc0 20 79 6f 75 20 68 61 76 65 20 6e 6f 20 64 75 70 6c 69 63 61 74 65 73 2e 0a 0a 20 20 20 20 20 20 .you.have.no.duplicates.........
5de0 20 20 54 68 65 20 6e 6f 64 65 73 20 66 6f 72 20 60 6d 60 20 61 70 70 65 61 72 20 69 6e 20 74 68 ..The.nodes.for.`m`.appear.in.th
5e00 65 20 63 6f 6d 70 6c 65 74 65 20 67 72 61 70 68 20 24 4b 5f 6d 24 20 61 6e 64 20 74 68 65 20 6e e.complete.graph.$K_m$.and.the.n
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5e80 69 6f 6e 61 6c 20 28 64 65 66 61 75 6c 74 3d 6e 78 2e 47 72 61 70 68 29 0a 20 20 20 20 20 20 20 ional.(default=nx.Graph)........
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5ee0 75 6c 61 74 65 64 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d ulated.......Returns.....-------
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5f20 70 6c 65 74 65 20 67 72 61 70 68 20 77 69 74 68 20 60 6d 60 20 6e 6f 64 65 73 20 63 6f 6e 6e 65 plete.graph.with.`m`.nodes.conne
5f40 63 74 65 64 20 74 6f 20 61 20 70 61 74 68 20 6f 66 20 6c 65 6e 67 74 68 20 60 6e 60 2e 0a 0a 20 cted.to.a.path.of.length.`n`....
5f60 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 54 68 65 20 32 20 73 75 62 ...Notes.....-----.....The.2.sub
5f80 67 72 61 70 68 73 20 61 72 65 20 6a 6f 69 6e 65 64 20 76 69 61 20 61 6e 20 65 64 67 65 20 60 60 graphs.are.joined.via.an.edge.``
5fa0 28 6d 2d 31 2c 20 6d 29 60 60 2e 0a 20 20 20 20 49 66 20 60 60 6e 3d 30 60 60 2c 20 74 68 69 73 (m-1,.m)``......If.``n=0``,.this
5fc0 20 69 73 20 6d 65 72 65 6c 79 20 61 20 63 6f 6d 70 6c 65 74 65 20 67 72 61 70 68 2e 0a 0a 20 20 .is.merely.a.complete.graph.....
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6000 6d 70 6c 65 20 69 6e 20 44 61 76 69 64 20 41 6c 64 6f 75 73 20 61 6e 64 20 4a 69 6d 0a 20 20 20 mple.in.David.Aldous.and.Jim....
6020 20 46 69 6c 6c 27 73 20 65 74 65 78 74 20 6f 6e 20 52 61 6e 64 6f 6d 20 57 61 6c 6b 73 20 6f 6e .Fill's.etext.on.Random.Walks.on
6040 20 47 72 61 70 68 73 2e 29 0a 0a 20 20 20 20 72 34 00 00 00 fa 37 49 6e 76 61 6c 69 64 20 64 65 .Graphs.)......r4....7Invalid.de
6060 73 63 72 69 70 74 69 6f 6e 3a 20 6d 20 73 68 6f 75 6c 64 20 69 6e 64 69 63 61 74 65 20 61 74 20 scription:.m.should.indicate.at.
6080 6c 65 61 73 74 20 32 20 6e 6f 64 65 73 72 4a 00 00 00 72 47 00 00 00 7a 2c 4e 6f 64 65 73 20 6d least.2.nodesrJ...rG...z,Nodes.m
60a0 75 73 74 20 62 65 20 64 69 73 74 69 6e 63 74 20 69 6e 20 63 6f 6e 74 61 69 6e 65 72 73 20 6d 20 ust.be.distinct.in.containers.m.
60c0 61 6e 64 20 6e 72 02 00 00 00 e9 ff ff ff ff 29 0d 72 56 00 00 00 72 04 00 00 00 72 69 00 00 00 and.nr.........).rV...r....ri...
60e0 da 07 6e 75 6d 62 65 72 73 da 08 49 6e 74 65 67 72 61 6c 72 41 00 00 00 72 1e 00 00 00 72 0a 00 ..numbers..IntegralrA...r....r..
6100 00 00 72 50 00 00 00 72 44 00 00 00 72 2f 00 00 00 72 06 00 00 00 72 51 00 00 00 29 08 da 01 6d ..rP...rD...r/...r....rQ...)...m
6120 72 23 00 00 00 72 30 00 00 00 da 07 6d 5f 6e 6f 64 65 73 da 01 4d da 07 6e 5f 6e 6f 64 65 73 72 r#...r0.....m_nodes..M..n_nodesr
6140 54 00 00 00 72 31 00 00 00 73 08 00 00 00 20 20 20 20 20 20 20 20 72 2a 00 00 00 72 14 00 00 00 T...r1...s............r*...r....
6160 72 14 00 00 00 b0 02 00 00 73 01 01 00 00 80 00 f0 4c 01 00 12 13 81 4a 80 41 80 77 dc 08 0b 88 r........s.......L.....J.A.w....
6180 47 8b 0c 80 41 d8 07 08 88 31 82 75 dc 0e 1b d0 1c 55 d3 0e 56 d0 08 56 e0 11 12 81 4a 80 41 80 G...A....1.u.....U..V..V....J.A.
61a0 77 dc 07 11 90 21 94 57 d7 15 25 d1 15 25 d4 07 26 ac 3a b0 61 bc 17 d7 39 49 d1 39 49 d4 2b 4a w....!.W..%..%..&.:.a...9I.9I.+J
61c0 dc 12 16 94 75 98 51 a0 01 a0 41 a1 05 93 7f d3 12 27 88 07 dc 08 0b 88 47 8b 0c 80 41 f4 06 00 ....u.Q...A......'......G...A...
61e0 09 17 90 77 a0 0c d3 08 2d 80 41 d8 07 08 87 7d 81 7d 84 7f dc 0e 1b d0 1c 3a d3 0e 3b d0 08 3b ...w....-.A....}.}.......:..;..;
6200 f0 06 00 05 06 d7 04 14 d1 04 14 90 57 d4 04 1d d8 07 08 88 31 82 75 d8 08 09 d7 08 18 d1 08 18 ............W.......1.u.........
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6240 0e 4b d0 08 4b f0 06 00 08 09 88 31 82 75 90 11 90 51 92 15 d8 08 09 8f 0a 89 0a 90 37 98 32 91 .K..K......1.u...Q..........7.2.
6260 3b a0 07 a8 01 a1 0a d4 08 2b d8 0b 0c 80 48 72 32 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 ;........+....Hr2...c...........
6280 00 04 00 00 00 03 00 00 00 f3 1e 00 00 00 97 00 74 01 00 00 00 00 00 00 00 00 64 01 7c 00 ab 02 ................t.........d.|...
62a0 00 00 00 00 00 00 7d 01 7c 01 53 00 29 02 7a 66 52 65 74 75 72 6e 73 20 74 68 65 20 4e 75 6c 6c ......}.|.S.).zfReturns.the.Null
62c0 20 67 72 61 70 68 20 77 69 74 68 20 6e 6f 20 6e 6f 64 65 73 20 6f 72 20 65 64 67 65 73 2e 0a 0a .graph.with.no.nodes.or.edges...
62e0 20 20 20 20 53 65 65 20 65 6d 70 74 79 5f 67 72 61 70 68 20 66 6f 72 20 74 68 65 20 75 73 65 20 ....See.empty_graph.for.the.use.
6300 6f 66 20 63 72 65 61 74 65 5f 75 73 69 6e 67 2e 0a 0a 20 20 20 20 72 02 00 00 00 a9 01 72 10 00 of.create_using.......r......r..
6320 00 00 a9 02 72 30 00 00 00 72 31 00 00 00 73 02 00 00 00 20 20 72 2a 00 00 00 72 15 00 00 00 72 ....r0...r1...s......r*...r....r
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6360 80 48 72 32 00 00 00 63 02 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 03 00 00 00 f3 5c 00 00 .Hr2...c.....................\..
6380 00 97 00 7c 00 5c 02 00 00 7d 02 7d 03 74 01 00 00 00 00 00 00 00 00 7c 03 7c 01 ab 02 00 00 00 ...|.\...}.}.t.........|.|......
63a0 00 00 00 7d 04 7c 04 6a 03 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 05 00 00 00 ...}.|.j...................t....
63c0 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 01 00 7c 04 53 00 29 01 61 .....|...................|.S.).a
63e0 4f 02 00 00 52 65 74 75 72 6e 73 20 74 68 65 20 50 61 74 68 20 67 72 61 70 68 20 60 50 5f 6e 60 O...Returns.the.Path.graph.`P_n`
6400 20 6f 66 20 6c 69 6e 65 61 72 6c 79 20 63 6f 6e 6e 65 63 74 65 64 20 6e 6f 64 65 73 2e 0a 0a 20 .of.linearly.connected.nodes....
6420 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 ......plot::..........>>>.nx.dra
6440 77 28 6e 78 2e 70 61 74 68 5f 67 72 61 70 68 28 35 29 29 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 w(nx.path_graph(5))......Paramet
6460 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 6e 20 3a 20 69 6e 74 20 6f ers.....----------.....n.:.int.o
6480 72 20 69 74 65 72 61 62 6c 65 0a 20 20 20 20 20 20 20 20 49 66 20 61 6e 20 69 6e 74 65 67 65 72 r.iterable.........If.an.integer
64a0 2c 20 6e 6f 64 65 73 20 61 72 65 20 30 20 74 6f 20 6e 20 2d 20 31 2e 0a 20 20 20 20 20 20 20 20 ,.nodes.are.0.to.n.-.1..........
64c0 49 66 20 61 6e 20 69 74 65 72 61 62 6c 65 20 6f 66 20 6e 6f 64 65 73 2c 20 69 6e 20 74 68 65 20 If.an.iterable.of.nodes,.in.the.
64e0 6f 72 64 65 72 20 74 68 65 79 20 61 70 70 65 61 72 20 69 6e 20 74 68 65 20 70 61 74 68 2e 0a 20 order.they.appear.in.the.path...
6500 20 20 20 20 20 20 20 57 61 72 6e 69 6e 67 3a 20 6e 20 69 73 20 6e 6f 74 20 63 68 65 63 6b 65 64 .......Warning:.n.is.not.checked
6520 20 66 6f 72 20 64 75 70 6c 69 63 61 74 65 73 20 61 6e 64 20 69 66 20 70 72 65 73 65 6e 74 20 74 .for.duplicates.and.if.present.t
6540 68 65 0a 20 20 20 20 20 20 20 20 72 65 73 75 6c 74 69 6e 67 20 67 72 61 70 68 20 6d 61 79 20 6e he.........resulting.graph.may.n
6560 6f 74 20 62 65 20 61 73 20 64 65 73 69 72 65 64 2e 20 4d 61 6b 65 20 73 75 72 65 20 79 6f 75 20 ot.be.as.desired..Make.sure.you.
6580 68 61 76 65 20 6e 6f 20 64 75 70 6c 69 63 61 74 65 73 2e 0a 20 20 20 20 63 72 65 61 74 65 5f 75 have.no.duplicates......create_u
65a0 73 69 6e 67 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 20 63 6f 6e 73 74 72 75 63 74 6f sing.:.NetworkX.graph.constructo
65c0 72 2c 20 6f 70 74 69 6f 6e 61 6c 20 28 64 65 66 61 75 6c 74 3d 6e 78 2e 47 72 61 70 68 29 0a 20 r,.optional.(default=nx.Graph)..
65e0 20 20 20 20 20 20 47 72 61 70 68 20 74 79 70 65 20 74 6f 20 63 72 65 61 74 65 2e 20 49 66 20 67 ......Graph.type.to.create..If.g
6600 72 61 70 68 20 69 6e 73 74 61 6e 63 65 2c 20 74 68 65 6e 20 63 6c 65 61 72 65 64 20 62 65 66 6f raph.instance,.then.cleared.befo
6620 72 65 20 70 6f 70 75 6c 61 74 65 64 2e 0a 0a 20 20 20 20 72 61 00 00 00 72 62 00 00 00 73 05 00 re.populated.......ra...rb...s..
6640 00 00 20 20 20 20 20 72 2a 00 00 00 72 16 00 00 00 72 16 00 00 00 fe 02 00 00 73 30 00 00 00 80 .......r*...r....r........s0....
6660 00 f0 28 00 10 11 81 48 80 41 80 75 dc 08 13 90 45 98 3c d3 08 28 80 41 d8 04 05 d7 04 14 d1 04 ..(....H.A.u....E.<..(.A........
6680 14 94 58 98 65 93 5f d4 04 25 d8 0b 0c 80 48 72 32 00 00 00 63 02 00 00 00 00 00 00 00 00 00 00 ..X.e._..%....Hr2...c...........
66a0 00 05 00 00 00 03 00 00 00 f3 20 01 00 00 87 05 97 00 7c 00 5c 02 00 00 7d 00 7d 02 74 01 00 00 ..................|.\...}.}.t...
66c0 00 00 00 00 00 00 7c 00 74 02 00 00 00 00 00 00 00 00 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 ......|.t.........j.............
66e0 00 00 00 00 00 00 ab 02 00 00 00 00 00 00 72 1a 7c 02 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 ..............r.|.j.............
6700 00 00 00 00 00 00 74 09 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 ......t.........|...............
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6740 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 72 0b 74 0f 00 00 ..........................r.t...
6760 00 00 00 00 00 00 64 01 ab 01 00 00 00 00 00 00 82 01 74 11 00 00 00 00 00 00 00 00 7c 02 ab 01 ......d...........t.........|...
6780 00 00 00 00 00 00 64 02 6b 44 00 00 72 1e 7c 02 5e 01 8a 05 7d 04 7c 03 6a 13 00 00 00 00 00 00 ......d.kD..r.|.^...}.|.j.......
67a0 00 00 00 00 00 00 00 00 00 00 00 00 88 05 66 01 64 03 84 08 7c 04 44 00 ab 00 00 00 00 00 00 00 ..............f.d...|.D.........
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67e0 73 74 61 72 20 67 72 61 70 68 0a 0a 20 20 20 20 54 68 65 20 73 74 61 72 20 67 72 61 70 68 20 63 star.graph......The.star.graph.c
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6840 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 77 28 6e 78 2e 73 74 lot::..........>>>.nx.draw(nx.st
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68a0 62 6c 65 0a 20 20 20 20 20 20 20 20 49 66 20 61 6e 20 69 6e 74 65 67 65 72 2c 20 6e 6f 64 65 20 ble.........If.an.integer,.node.
68c0 6c 61 62 65 6c 73 20 61 72 65 20 30 20 74 6f 20 6e 20 77 69 74 68 20 63 65 6e 74 65 72 20 30 2e labels.are.0.to.n.with.center.0.
68e0 0a 20 20 20 20 20 20 20 20 49 66 20 61 6e 20 69 74 65 72 61 62 6c 65 20 6f 66 20 6e 6f 64 65 73 .........If.an.iterable.of.nodes
6900 2c 20 74 68 65 20 63 65 6e 74 65 72 20 69 73 20 74 68 65 20 66 69 72 73 74 2e 0a 20 20 20 20 20 ,.the.center.is.the.first.......
6920 20 20 20 57 61 72 6e 69 6e 67 3a 20 6e 20 69 73 20 6e 6f 74 20 63 68 65 63 6b 65 64 20 66 6f 72 ...Warning:.n.is.not.checked.for
6940 20 64 75 70 6c 69 63 61 74 65 73 20 61 6e 64 20 69 66 20 70 72 65 73 65 6e 74 20 74 68 65 0a 20 .duplicates.and.if.present.the..
6960 20 20 20 20 20 20 20 72 65 73 75 6c 74 69 6e 67 20 67 72 61 70 68 20 6d 61 79 20 6e 6f 74 20 62 .......resulting.graph.may.not.b
6980 65 20 61 73 20 64 65 73 69 72 65 64 2e 20 4d 61 6b 65 20 73 75 72 65 20 79 6f 75 20 68 61 76 65 e.as.desired..Make.sure.you.have
69a0 20 6e 6f 20 64 75 70 6c 69 63 61 74 65 73 2e 0a 20 20 20 20 63 72 65 61 74 65 5f 75 73 69 6e 67 .no.duplicates......create_using
69c0 20 3a 20 4e 65 74 77 6f 72 6b 58 20 67 72 61 70 68 20 63 6f 6e 73 74 72 75 63 74 6f 72 2c 20 6f .:.NetworkX.graph.constructor,.o
69e0 70 74 69 6f 6e 61 6c 20 28 64 65 66 61 75 6c 74 3d 6e 78 2e 47 72 61 70 68 29 0a 20 20 20 20 20 ptional.(default=nx.Graph)......
6a00 20 20 47 72 61 70 68 20 74 79 70 65 20 74 6f 20 63 72 65 61 74 65 2e 20 49 66 20 67 72 61 70 68 ..Graph.type.to.create..If.graph
6a20 20 69 6e 73 74 61 6e 63 65 2c 20 74 68 65 6e 20 63 6c 65 61 72 65 64 20 62 65 66 6f 72 65 20 70 .instance,.then.cleared.before.p
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6a60 20 20 20 54 68 65 20 67 72 61 70 68 20 68 61 73 20 6e 2b 31 20 6e 6f 64 65 73 20 66 6f 72 20 69 ...The.graph.has.n+1.nodes.for.i
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6b00 66 02 96 01 97 01 01 00 8c 0a 04 00 79 00 ad 03 77 01 72 36 00 00 00 72 71 00 00 00 a9 03 72 38 f...........y...w.r6...rq.....r8
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6b40 7a 1d 73 74 61 72 5f 67 72 61 70 68 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 70 72 3e 3b z.star_graph.<locals>.<genexpr>;
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6bc0 00 72 30 00 00 00 72 25 00 00 00 72 31 00 00 00 da 06 73 70 6f 6b 65 73 72 83 00 00 00 73 06 00 .r0...r%...r1.....spokesr....s..
6be0 00 00 20 20 20 20 20 40 72 2a 00 00 00 72 17 00 00 00 72 17 00 00 00 18 03 00 00 73 7c 00 00 00 .......@r*...r....r........s|...
6c00 f8 80 00 f0 34 00 10 11 81 48 80 41 80 75 dc 07 11 90 21 94 57 d7 15 25 d1 15 25 d4 07 26 d8 08 ....4....H.A.u....!.W..%..%..&..
6c20 0d 8f 0c 89 0c 94 53 98 11 93 56 d4 08 1c dc 08 13 90 45 98 3c d3 08 28 80 41 d8 07 08 87 7d 81 ......S...V.......E.<..(.A....}.
6c40 7d 84 7f dc 0e 1b d0 1c 3a d3 0e 3b d0 08 3b e4 07 0a 88 35 83 7a 90 41 82 7e d8 17 1c 88 0c 88 }.......:..;..;....5.z.A.~......
6c60 03 88 66 d8 08 09 d7 08 18 d1 08 18 d3 18 38 b0 16 d4 18 38 d4 08 38 d8 0b 0c 80 48 72 32 00 00 ..f...........8....8..8....Hr2..
6c80 00 63 03 00 00 00 00 00 00 00 00 00 00 00 07 00 00 00 03 00 00 00 f3 82 01 00 00 97 00 7c 00 5c .c...........................|.\
6ca0 02 00 00 7d 00 7d 03 74 01 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 7d 04 7c 04 64 ...}.}.t.........|.........}.|.d
6cc0 01 6b 02 00 00 72 0b 74 03 00 00 00 00 00 00 00 00 64 02 ab 01 00 00 00 00 00 00 82 01 7c 01 5c .k...r.t.........d...........|.\
6ce0 02 00 00 7d 01 7d 05 74 05 00 00 00 00 00 00 00 00 7c 00 74 06 00 00 00 00 00 00 00 00 6a 08 00 ...}.}.t.........|.t.........j..
6d00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 02 00 00 00 00 00 00 72 32 74 05 00 00 00 .........................r2t....
6d20 00 00 00 00 00 7c 01 74 06 00 00 00 00 00 00 00 00 6a 08 00 00 00 00 00 00 00 00 00 00 00 00 00 .....|.t.........j..............
6d40 00 00 00 00 00 ab 02 00 00 00 00 00 00 72 18 74 0b 00 00 00 00 00 00 00 00 74 0d 00 00 00 00 00 .............r.t.........t......
6d60 00 00 00 7c 04 7c 04 7c 01 7a 00 00 00 ab 02 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 7d 05 74 ...|.|.|.z...................}.t
6d80 0f 00 00 00 00 00 00 00 00 7c 03 7c 02 ab 02 00 00 00 00 00 00 7d 06 7c 06 6a 11 00 00 00 00 00 .........|.|.........}.|.j......
6da0 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 72 0b 74 03 00 00 00 00 00 00 00 .....................r.t........
6dc0 00 64 03 ab 01 00 00 00 00 00 00 82 01 74 13 00 00 00 00 00 00 00 00 6a 14 00 00 00 00 00 00 00 .d...........t.........j........
6de0 00 00 00 00 00 00 00 00 00 00 00 7c 06 7c 03 64 04 19 00 00 00 67 01 74 0b 00 00 00 00 00 00 00 ...........|.|.d.....g.t........
6e00 00 7c 05 ab 01 00 00 00 00 00 00 7a 00 00 00 ab 02 00 00 00 00 00 00 01 00 7c 06 53 00 29 05 61 .|.........z.............|.S.).a
6e20 15 05 00 00 52 65 74 75 72 6e 73 20 74 68 65 20 28 6d 2c 6e 29 2d 74 61 64 70 6f 6c 65 20 67 72 ....Returns.the.(m,n)-tadpole.gr
6e40 61 70 68 3b 20 60 60 43 5f 6d 60 60 20 63 6f 6e 6e 65 63 74 65 64 20 74 6f 20 60 60 50 5f 6e 60 aph;.``C_m``.connected.to.``P_n`
6e60 60 2e 0a 0a 20 20 20 20 54 68 69 73 20 67 72 61 70 68 20 6f 6e 20 6d 2b 6e 20 6e 6f 64 65 73 20 `.......This.graph.on.m+n.nodes.
6e80 63 6f 6e 6e 65 63 74 73 20 61 20 63 79 63 6c 65 20 6f 66 20 73 69 7a 65 20 60 6d 60 20 74 6f 20 connects.a.cycle.of.size.`m`.to.
6ea0 61 20 70 61 74 68 20 6f 66 20 6c 65 6e 67 74 68 20 60 6e 60 2e 0a 20 20 20 20 49 74 20 6c 6f 6f a.path.of.length.`n`......It.loo
6ec0 6b 73 20 6c 69 6b 65 20 61 20 74 61 64 70 6f 6c 65 2e 20 49 74 20 69 73 20 61 6c 73 6f 20 63 61 ks.like.a.tadpole..It.is.also.ca
6ee0 6c 6c 65 64 20 61 20 6b 69 74 65 20 67 72 61 70 68 20 6f 72 20 61 20 64 72 61 67 6f 6e 20 67 72 lled.a.kite.graph.or.a.dragon.gr
6f00 61 70 68 2e 0a 0a 20 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e aph..........plot::..........>>>
6f20 20 6e 78 2e 64 72 61 77 28 6e 78 2e 74 61 64 70 6f 6c 65 5f 67 72 61 70 68 28 33 2c 20 35 29 29 .nx.draw(nx.tadpole_graph(3,.5))
6f40 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a ......Parameters.....----------.
6f60 20 20 20 20 6d 2c 20 6e 20 3a 20 69 6e 74 20 6f 72 20 69 74 65 72 61 62 6c 65 20 63 6f 6e 74 61 ....m,.n.:.int.or.iterable.conta
6f80 69 6e 65 72 20 6f 66 20 6e 6f 64 65 73 0a 20 20 20 20 20 20 20 20 49 66 20 61 6e 20 69 6e 74 65 iner.of.nodes.........If.an.inte
6fa0 67 65 72 2c 20 6e 6f 64 65 73 20 61 72 65 20 66 72 6f 6d 20 60 60 72 61 6e 67 65 28 6d 29 60 60 ger,.nodes.are.from.``range(m)``
6fc0 20 61 6e 64 20 60 60 72 61 6e 67 65 28 6d 2c 6d 2b 6e 29 60 60 2e 0a 20 20 20 20 20 20 20 20 49 .and.``range(m,m+n)``..........I
6fe0 66 20 61 20 63 6f 6e 74 61 69 6e 65 72 20 6f 66 20 6e 6f 64 65 73 2c 20 74 68 6f 73 65 20 6e 6f f.a.container.of.nodes,.those.no
7000 64 65 73 20 61 70 70 65 61 72 20 69 6e 20 74 68 65 20 67 72 61 70 68 2e 0a 20 20 20 20 20 20 20 des.appear.in.the.graph.........
7020 20 57 61 72 6e 69 6e 67 3a 20 60 6d 60 20 61 6e 64 20 60 6e 60 20 61 72 65 20 6e 6f 74 20 63 68 .Warning:.`m`.and.`n`.are.not.ch
7040 65 63 6b 65 64 20 66 6f 72 20 64 75 70 6c 69 63 61 74 65 73 20 61 6e 64 20 69 66 20 70 72 65 73 ecked.for.duplicates.and.if.pres
7060 65 6e 74 20 74 68 65 0a 20 20 20 20 20 20 20 20 72 65 73 75 6c 74 69 6e 67 20 67 72 61 70 68 20 ent.the.........resulting.graph.
7080 6d 61 79 20 6e 6f 74 20 62 65 20 61 73 20 64 65 73 69 72 65 64 2e 0a 0a 20 20 20 20 20 20 20 20 may.not.be.as.desired...........
70a0 54 68 65 20 6e 6f 64 65 73 20 66 6f 72 20 60 6d 60 20 61 70 70 65 61 72 20 69 6e 20 74 68 65 20 The.nodes.for.`m`.appear.in.the.
70c0 63 79 63 6c 65 20 67 72 61 70 68 20 24 43 5f 6d 24 20 61 6e 64 20 74 68 65 20 6e 6f 64 65 73 0a cycle.graph.$C_m$.and.the.nodes.
70e0 20 20 20 20 20 20 20 20 66 6f 72 20 60 6e 60 20 61 70 70 65 61 72 20 69 6e 20 74 68 65 20 70 61 ........for.`n`.appear.in.the.pa
7100 74 68 20 24 50 5f 6e 24 2e 0a 20 20 20 20 63 72 65 61 74 65 5f 75 73 69 6e 67 20 3a 20 4e 65 74 th.$P_n$......create_using.:.Net
7120 77 6f 72 6b 58 20 67 72 61 70 68 20 63 6f 6e 73 74 72 75 63 74 6f 72 2c 20 6f 70 74 69 6f 6e 61 workX.graph.constructor,.optiona
7140 6c 20 28 64 65 66 61 75 6c 74 3d 6e 78 2e 47 72 61 70 68 29 0a 20 20 20 20 20 20 20 47 72 61 70 l.(default=nx.Graph)........Grap
7160 68 20 74 79 70 65 20 74 6f 20 63 72 65 61 74 65 2e 20 49 66 20 67 72 61 70 68 20 69 6e 73 74 61 h.type.to.create..If.graph.insta
7180 6e 63 65 2c 20 74 68 65 6e 20 63 6c 65 61 72 65 64 20 62 65 66 6f 72 65 20 70 6f 70 75 6c 61 74 nce,.then.cleared.before.populat
71a0 65 64 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 ed.......Returns.....-------....
71c0 20 4e 65 74 77 6f 72 6b 78 20 67 72 61 70 68 0a 20 20 20 20 20 20 20 41 20 63 79 63 6c 65 20 6f .Networkx.graph........A.cycle.o
71e0 66 20 73 69 7a 65 20 60 6d 60 20 63 6f 6e 6e 65 63 74 65 64 20 74 6f 20 61 20 70 61 74 68 20 6f f.size.`m`.connected.to.a.path.o
7200 66 20 6c 65 6e 67 74 68 20 60 6e 60 2e 0a 0a 20 20 20 20 52 61 69 73 65 73 0a 20 20 20 20 2d 2d f.length.`n`.......Raises.....--
7220 2d 2d 2d 2d 0a 20 20 20 20 4e 65 74 77 6f 72 6b 58 45 72 72 6f 72 0a 20 20 20 20 20 20 20 20 49 ----.....NetworkXError.........I
7240 66 20 60 60 6d 20 3c 20 32 60 60 2e 20 54 68 65 20 74 61 64 70 6f 6c 65 20 67 72 61 70 68 20 69 f.``m.<.2``..The.tadpole.graph.i
7260 73 20 75 6e 64 65 66 69 6e 65 64 20 66 6f 72 20 60 60 6d 3c 32 60 60 2e 0a 0a 20 20 20 20 4e 6f s.undefined.for.``m<2``.......No
7280 74 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 54 68 65 20 32 20 73 75 62 67 72 61 70 68 tes.....-----.....The.2.subgraph
72a0 73 20 61 72 65 20 6a 6f 69 6e 65 64 20 76 69 61 20 61 6e 20 65 64 67 65 20 60 60 28 6d 2d 31 2c s.are.joined.via.an.edge.``(m-1,
72c0 20 6d 29 60 60 2e 0a 20 20 20 20 49 66 20 60 60 6e 3d 30 60 60 2c 20 74 68 69 73 20 69 73 20 61 .m)``......If.``n=0``,.this.is.a
72e0 20 63 79 63 6c 65 20 67 72 61 70 68 2e 0a 20 20 20 20 60 6d 60 20 61 6e 64 2f 6f 72 20 60 6e 60 .cycle.graph......`m`.and/or.`n`
7300 20 63 61 6e 20 62 65 20 61 20 63 6f 6e 74 61 69 6e 65 72 20 6f 66 20 6e 6f 64 65 73 20 69 6e 73 .can.be.a.container.of.nodes.ins
7320 74 65 61 64 20 6f 66 20 61 6e 20 69 6e 74 65 67 65 72 2e 0a 0a 20 20 20 20 72 34 00 00 00 72 73 tead.of.an.integer.......r4...rs
7340 00 00 00 72 4a 00 00 00 72 74 00 00 00 29 0b 72 56 00 00 00 72 04 00 00 00 72 69 00 00 00 72 75 ...rJ...rt...).rV...r....ri...ru
7360 00 00 00 72 76 00 00 00 72 41 00 00 00 72 1e 00 00 00 72 0e 00 00 00 72 50 00 00 00 72 40 00 00 ...rv...rA...r....r....rP...r@..
7380 00 da 08 61 64 64 5f 70 61 74 68 29 07 72 77 00 00 00 72 23 00 00 00 72 30 00 00 00 72 78 00 00 ...add_path).rw...r#...r0...rx..
73a0 00 72 79 00 00 00 72 7a 00 00 00 72 31 00 00 00 73 07 00 00 00 20 20 20 20 20 20 20 72 2a 00 00 .ry...rz...r1...s...........r*..
73c0 00 72 18 00 00 00 72 18 00 00 00 3f 03 00 00 73 ad 00 00 00 80 00 f0 54 01 00 12 13 81 4a 80 41 .r....r....?...s.......T.....J.A
73e0 80 77 dc 08 0b 88 47 8b 0c 80 41 d8 07 08 88 31 82 75 dc 0e 1b d0 1c 55 d3 0e 56 d0 08 56 e0 11 .w....G...A....1.u.....U..V..V..
7400 12 81 4a 80 41 80 77 dc 07 11 90 21 94 57 d7 15 25 d1 15 25 d4 07 26 ac 3a b0 61 bc 17 d7 39 49 ..J.A.w....!.W..%..%..&.:.a...9I
7420 d1 39 49 d4 2b 4a dc 12 16 94 75 98 51 a0 01 a0 41 a1 05 93 7f d3 12 27 88 07 f4 06 00 09 14 90 .9I.+J....u.Q...A......'........
7440 47 98 5c d3 08 2a 80 41 d8 07 08 87 7d 81 7d 84 7f dc 0e 1b d0 1c 3a d3 0e 3b d0 08 3b f4 06 00 G.\..*.A....}.}.......:..;..;...
7460 05 07 87 4b 81 4b 90 01 90 47 98 42 91 4b 90 3d a4 34 a8 07 a3 3d d1 13 30 d4 04 31 e0 0b 0c 80 ...K.K...G.B.K.=.4...=..0..1....
7480 48 72 32 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 03 00 00 00 f3 1e 00 00 00 Hr2...c.........................
74a0 97 00 74 01 00 00 00 00 00 00 00 00 64 01 7c 00 ab 02 00 00 00 00 00 00 7d 01 7c 01 53 00 29 02 ..t.........d.|.........}.|.S.).
74c0 7a 93 52 65 74 75 72 6e 20 74 68 65 20 54 72 69 76 69 61 6c 20 67 72 61 70 68 20 77 69 74 68 20 z.Return.the.Trivial.graph.with.
74e0 6f 6e 65 20 6e 6f 64 65 20 28 77 69 74 68 20 6c 61 62 65 6c 20 30 29 20 61 6e 64 20 6e 6f 20 65 one.node.(with.label.0).and.no.e
7500 64 67 65 73 2e 0a 0a 20 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 20 20 20 3e 3e dges..........plot::..........>>
7520 3e 20 6e 78 2e 64 72 61 77 28 6e 78 2e 74 72 69 76 69 61 6c 5f 67 72 61 70 68 28 29 2c 20 77 69 >.nx.draw(nx.trivial_graph(),.wi
7540 74 68 5f 6c 61 62 65 6c 73 3d 54 72 75 65 29 0a 0a 20 20 20 20 72 47 00 00 00 72 7c 00 00 00 72 th_labels=True)......rG...r|...r
7560 7d 00 00 00 73 02 00 00 00 20 20 72 2a 00 00 00 72 19 00 00 00 72 19 00 00 00 7d 03 00 00 73 15 }...s......r*...r....r....}...s.
7580 00 00 00 80 00 f4 12 00 09 14 90 41 90 7c d3 08 24 80 41 d8 0b 0c 80 48 72 32 00 00 00 63 02 00 ...........A.|..$.A....Hr2...c..
75a0 00 00 00 00 00 00 00 00 00 00 04 00 00 00 03 00 00 00 f3 98 00 00 00 97 00 64 01 7c 01 63 02 78 .........................d.|.c.x
75c0 02 6b 1a 00 00 72 0f 7c 00 6b 1a 00 00 73 17 74 01 00 00 00 00 00 00 00 00 64 02 ab 01 00 00 00 .k...r.|.k...s.t.........d......
75e0 00 00 00 82 01 01 00 74 01 00 00 00 00 00 00 00 00 64 02 ab 01 00 00 00 00 00 00 82 01 7c 00 7c .......t.........d...........|.|
7600 01 7a 02 00 00 67 01 7c 01 7c 00 7c 01 7a 06 00 00 7a 0a 00 00 7a 05 00 00 7c 00 7c 01 7a 02 00 .z...g.|.|.|.z...z...z...|.|.z..
7620 00 64 01 7a 00 00 00 67 01 7c 00 7c 01 7a 06 00 00 7a 05 00 00 7a 00 00 00 7d 02 74 03 00 00 00 .d.z...g.|.|.z...z...z...}.t....
7640 00 00 00 00 00 7c 02 8e 00 7d 03 7c 03 53 00 29 03 61 c7 02 00 00 52 65 74 75 72 6e 20 74 68 65 .....|...}.|.S.).a....Return.the
7660 20 54 75 72 61 6e 20 47 72 61 70 68 0a 0a 20 20 20 20 54 68 65 20 54 75 72 61 6e 20 47 72 61 70 .Turan.Graph......The.Turan.Grap
7680 68 20 69 73 20 61 20 63 6f 6d 70 6c 65 74 65 20 6d 75 6c 74 69 70 61 72 74 69 74 65 20 67 72 61 h.is.a.complete.multipartite.gra
76a0 70 68 20 6f 6e 20 24 6e 24 20 6e 6f 64 65 73 0a 20 20 20 20 77 69 74 68 20 24 72 24 20 64 69 73 ph.on.$n$.nodes.....with.$r$.dis
76c0 6a 6f 69 6e 74 20 73 75 62 73 65 74 73 2e 20 54 68 61 74 20 69 73 2c 20 65 64 67 65 73 20 63 6f joint.subsets..That.is,.edges.co
76e0 6e 6e 65 63 74 20 65 61 63 68 20 6e 6f 64 65 20 74 6f 0a 20 20 20 20 65 76 65 72 79 20 6e 6f 64 nnect.each.node.to.....every.nod
7700 65 20 6e 6f 74 20 69 6e 20 69 74 73 20 73 75 62 73 65 74 2e 0a 0a 20 20 20 20 47 69 76 65 6e 20 e.not.in.its.subset.......Given.
7720 24 6e 24 20 61 6e 64 20 24 72 24 2c 20 77 65 20 63 72 65 61 74 65 20 61 20 63 6f 6d 70 6c 65 74 $n$.and.$r$,.we.create.a.complet
7740 65 20 6d 75 6c 74 69 70 61 72 74 69 74 65 20 67 72 61 70 68 20 77 69 74 68 0a 20 20 20 20 24 72 e.multipartite.graph.with.....$r
7760 2d 28 6e 20 5c 6d 6f 64 20 72 29 24 20 70 61 72 74 69 74 69 6f 6e 73 20 6f 66 20 73 69 7a 65 20 -(n.\mod.r)$.partitions.of.size.
7780 24 6e 2f 72 24 2c 20 72 6f 75 6e 64 65 64 20 64 6f 77 6e 2c 20 61 6e 64 0a 20 20 20 20 24 6e 20 $n/r$,.rounded.down,.and.....$n.
77a0 5c 6d 6f 64 20 72 24 20 70 61 72 74 69 74 69 6f 6e 73 20 6f 66 20 73 69 7a 65 20 24 6e 2f 72 2b \mod.r$.partitions.of.size.$n/r+
77c0 31 24 2c 20 72 6f 75 6e 64 65 64 20 64 6f 77 6e 2e 0a 0a 20 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 1$,.rounded.down..........plot::
77e0 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 77 28 6e 78 2e 74 75 72 61 6e 5f 67 ..........>>>.nx.draw(nx.turan_g
7800 72 61 70 68 28 36 2c 20 32 29 29 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 raph(6,.2))......Parameters.....
7820 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 6e 20 3a 20 69 6e 74 0a 20 20 20 20 20 20 20 20 54 ----------.....n.:.int.........T
7840 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 6e 6f 64 65 73 2e 0a 20 20 20 20 72 20 3a 20 69 6e 74 0a he.number.of.nodes......r.:.int.
7860 20 20 20 20 20 20 20 20 54 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 70 61 72 74 69 74 69 6f 6e 73 ........The.number.of.partitions
7880 2e 0a 20 20 20 20 20 20 20 20 4d 75 73 74 20 62 65 20 6c 65 73 73 20 74 68 61 6e 20 6f 72 20 65 ..........Must.be.less.than.or.e
78a0 71 75 61 6c 20 74 6f 20 6e 2e 0a 0a 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 0a qual.to.n.......Notes.....-----.
78c0 20 20 20 20 4d 75 73 74 20 73 61 74 69 73 66 79 20 24 31 20 3c 3d 20 72 20 3c 3d 20 6e 24 2e 0a ....Must.satisfy.$1.<=.r.<=.n$..
78e0 20 20 20 20 54 68 65 20 67 72 61 70 68 20 68 61 73 20 24 28 72 2d 31 29 28 6e 5e 32 29 2f 28 32 ....The.graph.has.$(r-1)(n^2)/(2
7900 72 29 24 20 65 64 67 65 73 2c 20 72 6f 75 6e 64 65 64 20 64 6f 77 6e 2e 0a 20 20 20 20 72 47 00 r)$.edges,.rounded.down......rG.
7920 00 00 7a 18 4d 75 73 74 20 73 61 74 69 73 66 79 20 31 20 3c 3d 20 72 20 3c 3d 20 6e 29 02 72 04 ..z.Must.satisfy.1.<=.r.<=.n).r.
7940 00 00 00 72 0b 00 00 00 29 04 72 23 00 00 00 72 24 00 00 00 da 0a 70 61 72 74 69 74 69 6f 6e 73 ...r....).r#...r$.....partitions
7960 72 31 00 00 00 73 04 00 00 00 20 20 20 20 72 2a 00 00 00 72 1a 00 00 00 72 1a 00 00 00 8a 03 00 r1...s........r*...r....r.......
7980 00 73 6b 00 00 00 80 00 f0 3c 00 0c 0d 90 01 8c 3b 90 51 8a 3b dc 0e 1b d0 1c 36 d3 0e 37 d0 08 .sk......<......;.Q.;.....6..7..
79a0 37 f0 03 00 0c 17 dc 0e 1b d0 1c 36 d3 0e 37 d0 08 37 e0 12 13 90 71 91 26 90 18 98 51 a0 21 a0 7..........6..7..7....q.&...Q.!.
79c0 61 a1 25 99 5b d1 11 29 a8 51 b0 21 a9 56 b0 61 a9 5a a8 4c b8 41 c0 01 b9 45 d1 2c 42 d1 11 42 a.%.[..).Q.!.V.a.Z.L.A...E.,B..B
79e0 80 4a dc 08 23 a0 5a d0 08 30 80 41 d8 0b 0c 80 48 72 32 00 00 00 63 02 00 00 00 00 00 00 00 00 .J..#.Z..0.A....Hr2...c.........
7a00 00 00 00 06 00 00 00 03 00 00 00 f3 0c 01 00 00 87 06 97 00 7c 00 5c 02 00 00 7d 02 7d 03 74 01 ....................|.\...}.}.t.
7a20 00 00 00 00 00 00 00 00 7c 03 7c 01 ab 02 00 00 00 00 00 00 7d 04 7c 04 6a 03 00 00 00 00 00 00 ........|.|.........}.|.j.......
7a40 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 72 0b 74 05 00 00 00 00 00 00 00 00 ....................r.t.........
7a60 64 01 ab 01 00 00 00 00 00 00 82 01 74 07 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 d...........t.........|.........
7a80 64 02 6b 44 00 00 72 48 7c 03 5e 01 8a 06 7d 05 7c 04 6a 09 00 00 00 00 00 00 00 00 00 00 00 00 d.kD..rH|.^...}.|.j.............
7aa0 00 00 00 00 00 00 88 06 66 01 64 03 84 08 7c 05 44 00 ab 00 00 00 00 00 00 00 ab 01 00 00 00 00 ........f.d...|.D...............
7ac0 00 00 01 00 74 07 00 00 00 00 00 00 00 00 7c 05 ab 01 00 00 00 00 00 00 64 02 6b 44 00 00 72 1c ....t.........|.........d.kD..r.
7ae0 7c 04 6a 09 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 0b 00 00 00 00 00 00 00 00 |.j...................t.........
7b00 7c 05 64 04 ac 05 ab 02 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 01 00 7c 04 53 00 29 06 61 ae |.d.....................|.S.).a.
7b20 02 00 00 52 65 74 75 72 6e 20 74 68 65 20 77 68 65 65 6c 20 67 72 61 70 68 0a 0a 20 20 20 20 54 ...Return.the.wheel.graph......T
7b40 68 65 20 77 68 65 65 6c 20 67 72 61 70 68 20 63 6f 6e 73 69 73 74 73 20 6f 66 20 61 20 68 75 62 he.wheel.graph.consists.of.a.hub
7b60 20 6e 6f 64 65 20 63 6f 6e 6e 65 63 74 65 64 20 74 6f 20 61 20 63 79 63 6c 65 20 6f 66 20 28 6e .node.connected.to.a.cycle.of.(n
7b80 2d 31 29 20 6e 6f 64 65 73 2e 0a 0a 20 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a 0a 20 20 20 20 20 -1).nodes..........plot::.......
7ba0 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 77 28 6e 78 2e 77 68 65 65 6c 5f 67 72 61 70 68 28 35 29 ...>>>.nx.draw(nx.wheel_graph(5)
7bc0 29 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d )......Parameters.....----------
7be0 0a 20 20 20 20 6e 20 3a 20 69 6e 74 20 6f 72 20 69 74 65 72 61 62 6c 65 0a 20 20 20 20 20 20 20 .....n.:.int.or.iterable........
7c00 20 49 66 20 61 6e 20 69 6e 74 65 67 65 72 2c 20 6e 6f 64 65 20 6c 61 62 65 6c 73 20 61 72 65 20 .If.an.integer,.node.labels.are.
7c20 30 20 74 6f 20 6e 20 77 69 74 68 20 63 65 6e 74 65 72 20 30 2e 0a 20 20 20 20 20 20 20 20 49 66 0.to.n.with.center.0..........If
7c40 20 61 6e 20 69 74 65 72 61 62 6c 65 20 6f 66 20 6e 6f 64 65 73 2c 20 74 68 65 20 63 65 6e 74 65 .an.iterable.of.nodes,.the.cente
7c60 72 20 69 73 20 74 68 65 20 66 69 72 73 74 2e 0a 20 20 20 20 20 20 20 20 57 61 72 6e 69 6e 67 3a r.is.the.first..........Warning:
7c80 20 6e 20 69 73 20 6e 6f 74 20 63 68 65 63 6b 65 64 20 66 6f 72 20 64 75 70 6c 69 63 61 74 65 73 .n.is.not.checked.for.duplicates
7ca0 20 61 6e 64 20 69 66 20 70 72 65 73 65 6e 74 20 74 68 65 0a 20 20 20 20 20 20 20 20 72 65 73 75 .and.if.present.the.........resu
7cc0 6c 74 69 6e 67 20 67 72 61 70 68 20 6d 61 79 20 6e 6f 74 20 62 65 20 61 73 20 64 65 73 69 72 65 lting.graph.may.not.be.as.desire
7ce0 64 2e 20 4d 61 6b 65 20 73 75 72 65 20 79 6f 75 20 68 61 76 65 20 6e 6f 20 64 75 70 6c 69 63 61 d..Make.sure.you.have.no.duplica
7d00 74 65 73 2e 0a 20 20 20 20 63 72 65 61 74 65 5f 75 73 69 6e 67 20 3a 20 4e 65 74 77 6f 72 6b 58 tes......create_using.:.NetworkX
7d20 20 67 72 61 70 68 20 63 6f 6e 73 74 72 75 63 74 6f 72 2c 20 6f 70 74 69 6f 6e 61 6c 20 28 64 65 .graph.constructor,.optional.(de
7d40 66 61 75 6c 74 3d 6e 78 2e 47 72 61 70 68 29 0a 20 20 20 20 20 20 20 47 72 61 70 68 20 74 79 70 fault=nx.Graph)........Graph.typ
7d60 65 20 74 6f 20 63 72 65 61 74 65 2e 20 49 66 20 67 72 61 70 68 20 69 6e 73 74 61 6e 63 65 2c 20 e.to.create..If.graph.instance,.
7d80 74 68 65 6e 20 63 6c 65 61 72 65 64 20 62 65 66 6f 72 65 20 70 6f 70 75 6c 61 74 65 64 2e 0a 0a then.cleared.before.populated...
7da0 20 20 20 20 4e 6f 64 65 20 6c 61 62 65 6c 73 20 61 72 65 20 74 68 65 20 69 6e 74 65 67 65 72 73 ....Node.labels.are.the.integers
7dc0 20 30 20 74 6f 20 6e 20 2d 20 31 2e 0a 20 20 20 20 72 4a 00 00 00 72 47 00 00 00 63 01 00 00 00 .0.to.n.-.1......rJ...rG...c....
7de0 00 00 00 00 00 00 00 00 03 00 00 00 33 00 00 00 f3 26 00 00 00 95 01 4b 00 01 00 97 00 7c 00 5d ............3....&.....K.....|.]
7e00 08 00 00 7d 01 89 02 7c 01 66 02 96 01 97 01 01 00 8c 0a 04 00 79 00 ad 03 77 01 72 36 00 00 00 ...}...|.f...........y...w.r6...
7e20 72 71 00 00 00 72 81 00 00 00 73 03 00 00 00 20 20 80 72 2a 00 00 00 72 3e 00 00 00 7a 1e 77 68 rq...r....s.......r*...r>...z.wh
7e40 65 65 6c 5f 67 72 61 70 68 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 70 72 3e ce 03 00 00 eel_graph.<locals>.<genexpr>....
7e60 73 15 00 00 00 f8 e8 00 f8 80 00 d2 18 35 a8 14 98 23 98 74 9c 1b d1 18 35 f9 72 84 00 00 00 54 s............5...#.t....5.r....T
7e80 72 5f 00 00 00 29 06 72 10 00 00 00 72 50 00 00 00 72 04 00 00 00 72 56 00 00 00 72 2f 00 00 00 r_...).r....rP...r....rV...r/...
7ea0 72 06 00 00 00 29 07 72 23 00 00 00 72 30 00 00 00 72 58 00 00 00 72 25 00 00 00 72 31 00 00 00 r....).r#...r0...rX...r%...r1...
7ec0 da 03 72 69 6d 72 83 00 00 00 73 07 00 00 00 20 20 20 20 20 20 40 72 2a 00 00 00 72 1b 00 00 00 ..rimr....s..........@r*...r....
7ee0 72 1b 00 00 00 b0 03 00 00 73 7c 00 00 00 f8 80 00 f0 2e 00 10 11 81 48 80 41 80 75 dc 08 13 90 r........s|............H.A.u....
7f00 45 98 3c d3 08 28 80 41 d8 07 08 87 7d 81 7d 84 7f dc 0e 1b d0 1c 3a d3 0e 3b d0 08 3b e4 07 0a E.<..(.A....}.}.......:..;..;...
7f20 88 35 83 7a 90 41 82 7e d8 14 19 88 09 88 03 88 63 d8 08 09 d7 08 18 d1 08 18 d3 18 35 b0 13 d4 .5.z.A.~........c...........5...
7f40 18 35 d4 08 35 dc 0b 0e 88 73 8b 38 90 61 8a 3c d8 0c 0d d7 0c 1c d1 0c 1c 9c 58 a0 63 b0 24 d4 .5..5....s.8.a.<..........X.c.$.
7f60 1d 37 d4 0c 38 d8 0b 0c 80 48 72 32 00 00 00 63 00 00 00 00 00 00 00 00 00 00 00 00 08 00 00 00 .7..8....Hr2...c................
7f80 07 00 00 00 f3 38 02 00 00 97 00 74 01 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 7d 01 74 .....8.....t.................}.t
7fa0 03 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 64 01 6b 28 00 00 72 02 7c 01 53 00 09 .........|.........d.k(..r.|.S..
7fc0 00 74 05 00 00 00 00 00 00 00 00 74 07 00 00 00 00 00 00 00 00 6a 08 00 00 00 00 00 00 00 00 00 .t.........t.........j..........
7fe0 00 00 00 00 00 00 00 00 00 64 02 7c 00 7a 00 00 00 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 00 .........d.|.z..................
8000 00 7d 02 7c 02 44 00 8f 03 8f 04 63 03 67 00 63 02 5d 11 00 00 5c 02 00 00 7d 03 7d 04 74 0b 00 .}.|.D.....c.g.c.]...\...}.}.t..
8020 00 00 00 00 00 00 00 7c 03 7c 04 ab 02 00 00 00 00 00 00 91 02 8c 13 04 00 7d 05 7d 03 7d 04 74 .......|.|...............}.}.}.t
8040 0d 00 00 00 00 00 00 00 00 64 03 84 00 7c 00 44 00 ab 00 00 00 00 00 00 00 ab 01 00 00 00 00 00 .........d...|.D................
8060 00 72 0e 74 0f 00 00 00 00 00 00 00 00 64 04 7c 00 9b 00 9d 02 ab 01 00 00 00 00 00 00 82 01 09 .r.t.........d.|................
8080 00 74 13 00 00 00 00 00 00 00 00 7c 05 ab 01 00 00 00 00 00 00 44 00 5d 18 00 00 5c 02 00 00 7d .t.........|.........D.]...\...}
80a0 06 7d 07 7c 01 6a 15 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 07 7c 06 ac 05 ab .}.|.j...................|.|....
80c0 02 00 00 00 00 00 00 01 00 8c 1a 04 00 09 00 74 07 00 00 00 00 00 00 00 00 6a 16 00 00 00 00 00 ...............t.........j......
80e0 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 05 64 08 ab 02 00 00 00 00 00 00 44 00 5d 2a 00 00 5c .............|.d.........D.]*..\
8100 02 00 00 7d 09 7d 0a 7c 01 6a 19 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 07 00 ...}.}.|.j...................t..
8120 00 00 00 00 00 00 00 6a 1a 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 09 7c 0a ab .......j...................|.|..
8140 02 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 01 00 8c 2c 04 00 7c 01 53 00 63 02 01 00 63 03 7d ..................,..|.S.c...c.}
8160 04 7d 03 77 00 23 00 74 10 00 00 00 00 00 00 00 00 24 00 72 05 01 00 7c 00 7d 05 59 00 8c 80 77 .}.w.#.t.........$.r...|.}.Y...w
8180 00 78 03 59 00 77 01 23 00 74 10 00 00 00 00 00 00 00 00 24 00 72 11 7d 08 74 0f 00 00 00 00 00 .x.Y.w.#.t.........$.r.}.t......
81a0 00 00 00 64 06 ab 01 00 00 00 00 00 00 7c 08 82 02 64 07 7d 08 7e 08 77 01 77 00 78 03 59 00 77 ...d.........|...d.}.~.w.w.x.Y.w
81c0 01 29 09 61 a6 07 00 00 52 65 74 75 72 6e 73 20 74 68 65 20 63 6f 6d 70 6c 65 74 65 20 6d 75 6c .).a....Returns.the.complete.mul
81e0 74 69 70 61 72 74 69 74 65 20 67 72 61 70 68 20 77 69 74 68 20 74 68 65 20 73 70 65 63 69 66 69 tipartite.graph.with.the.specifi
8200 65 64 20 73 75 62 73 65 74 20 73 69 7a 65 73 2e 0a 0a 20 20 20 20 2e 2e 20 70 6c 6f 74 3a 3a 0a ed.subset.sizes..........plot::.
8220 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6e 78 2e 64 72 61 77 28 6e 78 2e 63 6f 6d 70 6c 65 74 65 .........>>>.nx.draw(nx.complete
8240 5f 6d 75 6c 74 69 70 61 72 74 69 74 65 5f 67 72 61 70 68 28 31 2c 20 32 2c 20 33 29 29 0a 0a 20 _multipartite_graph(1,.2,.3))...
8260 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 ...Parameters.....----------....
8280 20 73 75 62 73 65 74 5f 73 69 7a 65 73 20 3a 20 74 75 70 6c 65 20 6f 66 20 69 6e 74 65 67 65 72 .subset_sizes.:.tuple.of.integer
82a0 73 20 6f 72 20 74 75 70 6c 65 20 6f 66 20 6e 6f 64 65 20 69 74 65 72 61 62 6c 65 73 0a 20 20 20 s.or.tuple.of.node.iterables....
82c0 20 20 20 20 54 68 65 20 61 72 67 75 6d 65 6e 74 73 20 63 61 6e 20 65 69 74 68 65 72 20 61 6c 6c ....The.arguments.can.either.all
82e0 20 62 65 20 69 6e 74 65 67 65 72 20 6e 75 6d 62 65 72 20 6f 66 20 6e 6f 64 65 73 20 6f 72 20 74 .be.integer.number.of.nodes.or.t
8300 68 65 79 0a 20 20 20 20 20 20 20 63 61 6e 20 61 6c 6c 20 62 65 20 69 74 65 72 61 62 6c 65 73 20 hey........can.all.be.iterables.
8320 6f 66 20 6e 6f 64 65 73 2e 20 49 66 20 69 6e 74 65 67 65 72 73 2c 20 74 68 65 79 20 72 65 70 72 of.nodes..If.integers,.they.repr
8340 65 73 65 6e 74 20 74 68 65 0a 20 20 20 20 20 20 20 6e 75 6d 62 65 72 20 6f 66 20 6e 6f 64 65 73 esent.the........number.of.nodes
8360 20 69 6e 20 65 61 63 68 20 73 75 62 73 65 74 20 6f 66 20 74 68 65 20 6d 75 6c 74 69 70 61 72 74 .in.each.subset.of.the.multipart
8380 69 74 65 20 67 72 61 70 68 2e 0a 20 20 20 20 20 20 20 49 66 20 69 74 65 72 61 62 6c 65 73 2c 20 ite.graph.........If.iterables,.
83a0 65 61 63 68 20 69 73 20 75 73 65 64 20 74 6f 20 63 72 65 61 74 65 20 74 68 65 20 6e 6f 64 65 73 each.is.used.to.create.the.nodes
83c0 20 66 6f 72 20 74 68 61 74 20 73 75 62 73 65 74 2e 0a 20 20 20 20 20 20 20 54 68 65 20 6c 65 6e .for.that.subset.........The.len
83e0 67 74 68 20 6f 66 20 73 75 62 73 65 74 5f 73 69 7a 65 73 20 69 73 20 74 68 65 20 6e 75 6d 62 65 gth.of.subset_sizes.is.the.numbe
8400 72 20 6f 66 20 73 75 62 73 65 74 73 2e 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d r.of.subsets.......Returns.....-
8420 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 20 3a 20 4e 65 74 77 6f 72 6b 58 20 47 72 61 70 68 0a 20 20 ------.....G.:.NetworkX.Graph...
8440 20 20 20 20 20 52 65 74 75 72 6e 73 20 74 68 65 20 63 6f 6d 70 6c 65 74 65 20 6d 75 6c 74 69 70 .....Returns.the.complete.multip
8460 61 72 74 69 74 65 20 67 72 61 70 68 20 77 69 74 68 20 74 68 65 20 73 70 65 63 69 66 69 65 64 20 artite.graph.with.the.specified.
8480 73 75 62 73 65 74 73 2e 0a 0a 20 20 20 20 20 20 20 46 6f 72 20 65 61 63 68 20 6e 6f 64 65 2c 20 subsets..........For.each.node,.
84a0 74 68 65 20 6e 6f 64 65 20 61 74 74 72 69 62 75 74 65 20 27 73 75 62 73 65 74 27 20 69 73 20 61 the.node.attribute.'subset'.is.a
84c0 6e 20 69 6e 74 65 67 65 72 0a 20 20 20 20 20 20 20 69 6e 64 69 63 61 74 69 6e 67 20 77 68 69 63 n.integer........indicating.whic
84e0 68 20 73 75 62 73 65 74 20 63 6f 6e 74 61 69 6e 73 20 74 68 65 20 6e 6f 64 65 2e 0a 0a 20 20 20 h.subset.contains.the.node......
8500 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 43 72 65 61 74 .Examples.....--------.....Creat
8520 69 6e 67 20 61 20 63 6f 6d 70 6c 65 74 65 20 74 72 69 70 61 72 74 69 74 65 20 67 72 61 70 68 2c ing.a.complete.tripartite.graph,
8540 20 77 69 74 68 20 73 75 62 73 65 74 73 20 6f 66 20 6f 6e 65 2c 20 74 77 6f 2c 20 61 6e 64 20 74 .with.subsets.of.one,.two,.and.t
8560 68 72 65 65 0a 20 20 20 20 6e 6f 64 65 73 2c 20 72 65 73 70 65 63 74 69 76 65 6c 79 2e 0a 0a 20 hree.....nodes,.respectively....
8580 20 20 20 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 63 6f 6d 70 6c 65 74 65 5f 6d 75 6c 74 69 .......>>>.G.=.nx.complete_multi
85a0 70 61 72 74 69 74 65 5f 67 72 61 70 68 28 31 2c 20 32 2c 20 33 29 0a 20 20 20 20 20 20 20 20 3e partite_graph(1,.2,.3).........>
85c0 3e 3e 20 5b 47 2e 6e 6f 64 65 73 5b 75 5d 5b 22 73 75 62 73 65 74 22 5d 20 66 6f 72 20 75 20 69 >>.[G.nodes[u]["subset"].for.u.i
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8600 20 20 20 20 20 20 20 20 3e 3e 3e 20 6c 69 73 74 28 47 2e 65 64 67 65 73 28 30 29 29 0a 20 20 20 ........>>>.list(G.edges(0))....
8620 20 20 20 20 20 5b 28 30 2c 20 31 29 2c 20 28 30 2c 20 32 29 2c 20 28 30 2c 20 33 29 2c 20 28 30 .....[(0,.1),.(0,.2),.(0,.3),.(0
8640 2c 20 34 29 2c 20 28 30 2c 20 35 29 5d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 6c 69 73 74 28 47 ,.4),.(0,.5)].........>>>.list(G
8660 2e 65 64 67 65 73 28 32 29 29 0a 20 20 20 20 20 20 20 20 5b 28 32 2c 20 30 29 2c 20 28 32 2c 20 .edges(2)).........[(2,.0),.(2,.
8680 33 29 2c 20 28 32 2c 20 34 29 2c 20 28 32 2c 20 35 29 5d 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 3),.(2,.4),.(2,.5)].........>>>.
86a0 6c 69 73 74 28 47 2e 65 64 67 65 73 28 34 29 29 0a 20 20 20 20 20 20 20 20 5b 28 34 2c 20 30 29 list(G.edges(4)).........[(4,.0)
86c0 2c 20 28 34 2c 20 31 29 2c 20 28 34 2c 20 32 29 5d 0a 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 47 ,.(4,.1),.(4,.2)]..........>>>.G
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8700 68 28 22 61 22 2c 20 22 62 63 22 2c 20 22 64 65 66 22 29 0a 20 20 20 20 20 20 20 20 3e 3e 3e 20 h("a",."bc",."def").........>>>.
8720 5b 47 2e 6e 6f 64 65 73 5b 75 5d 5b 22 73 75 62 73 65 74 22 5d 20 66 6f 72 20 75 20 69 6e 20 73 [G.nodes[u]["subset"].for.u.in.s
8740 6f 72 74 65 64 28 47 29 5d 0a 20 20 20 20 20 20 20 20 5b 30 2c 20 31 2c 20 31 2c 20 32 2c 20 32 orted(G)].........[0,.1,.1,.2,.2
8760 2c 20 32 5d 0a 0a 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 54 68 ,.2]......Notes.....-----.....Th
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87a0 6f 74 68 65 72 20 67 72 61 70 68 20 62 75 69 6c 64 65 72 20 66 75 6e 63 74 69 6f 6e 73 2e 0a 0a other.graph.builder.functions...
87c0 20 20 20 20 2d 20 49 66 20 6e 6f 20 73 75 62 73 65 74 20 73 69 7a 65 73 20 61 72 65 20 67 69 76 ....-.If.no.subset.sizes.are.giv
87e0 65 6e 2c 20 74 68 69 73 20 72 65 74 75 72 6e 73 20 74 68 65 20 6e 75 6c 6c 20 67 72 61 70 68 2e en,.this.returns.the.null.graph.
8800 0a 20 20 20 20 2d 20 49 66 20 61 20 73 69 6e 67 6c 65 20 73 75 62 73 65 74 20 73 69 7a 65 20 60 .....-.If.a.single.subset.size.`
8820 6e 60 20 69 73 20 67 69 76 65 6e 2c 20 74 68 69 73 20 72 65 74 75 72 6e 73 20 74 68 65 20 65 6d n`.is.given,.this.returns.the.em
8840 70 74 79 20 67 72 61 70 68 20 6f 6e 0a 20 20 20 20 20 20 60 6e 60 20 6e 6f 64 65 73 2e 0a 20 20 pty.graph.on.......`n`.nodes....
8860 20 20 2d 20 49 66 20 74 77 6f 20 73 75 62 73 65 74 20 73 69 7a 65 73 20 60 6d 60 20 61 6e 64 20 ..-.If.two.subset.sizes.`m`.and.
8880 60 6e 60 20 61 72 65 20 67 69 76 65 6e 2c 20 74 68 69 73 20 72 65 74 75 72 6e 73 20 74 68 65 20 `n`.are.given,.this.returns.the.
88a0 63 6f 6d 70 6c 65 74 65 0a 20 20 20 20 20 20 62 69 70 61 72 74 69 74 65 20 67 72 61 70 68 20 6f complete.......bipartite.graph.o
88c0 6e 20 60 6d 20 2b 20 6e 60 20 6e 6f 64 65 73 2e 0a 20 20 20 20 2d 20 49 66 20 73 75 62 73 65 74 n.`m.+.n`.nodes......-.If.subset
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8900 69 73 20 72 65 74 75 72 6e 73 20 74 68 65 20 73 74 61 72 20 67 72 61 70 68 20 6f 6e 0a 20 20 20 is.returns.the.star.graph.on....
8920 20 20 20 60 6e 20 2b 20 31 60 20 6e 6f 64 65 73 2e 0a 0a 20 20 20 20 53 65 65 20 61 6c 73 6f 0a ...`n.+.1`.nodes.......See.also.
8940 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 63 6f 6d 70 6c 65 74 65 5f 62 69 70 61 72 74 ....--------.....complete_bipart
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8980 00 00 00 00 00 00 00 03 00 00 00 33 00 00 00 f3 26 00 00 00 4b 00 01 00 97 00 7c 00 5d 09 00 00 ...........3....&...K.....|.]...
89a0 7d 01 7c 01 64 00 6b 02 00 00 96 01 97 01 01 00 8c 0b 04 00 79 01 ad 03 77 01 29 02 72 02 00 00 }.|.d.k.............y...w.).r...
89c0 00 4e 72 71 00 00 00 29 02 72 38 00 00 00 da 04 73 69 7a 65 73 02 00 00 00 20 20 72 2a 00 00 00 .Nrq...).r8.....sizes......r*...
89e0 72 3e 00 00 00 7a 2e 63 6f 6d 70 6c 65 74 65 5f 6d 75 6c 74 69 70 61 72 74 69 74 65 5f 67 72 61 r>...z.complete_multipartite_gra
8a00 70 68 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 70 72 3e 1d 04 00 00 73 14 00 00 00 e8 00 ph.<locals>.<genexpr>....s......
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8a40 61 74 69 76 65 20 6e 75 6d 62 65 72 20 6f 66 20 6e 6f 64 65 73 20 6e 6f 74 20 76 61 6c 69 64 3a ative.number.of.nodes.not.valid:
8a60 20 29 01 da 06 73 75 62 73 65 74 7a 2b 41 72 67 75 6d 65 6e 74 73 20 6d 75 73 74 20 62 65 20 61 .)...subsetz+Arguments.must.be.a
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8aa0 72 03 00 00 00 72 56 00 00 00 72 06 00 00 00 72 42 00 00 00 da 0a 61 63 63 75 6d 75 6c 61 74 65 r....rV...r....rB.....accumulate
8ac0 72 1e 00 00 00 da 03 61 6e 79 72 04 00 00 00 72 6c 00 00 00 da 09 65 6e 75 6d 65 72 61 74 65 72 r......anyr....rl.....enumerater
8ae0 44 00 00 00 72 43 00 00 00 72 2f 00 00 00 da 07 70 72 6f 64 75 63 74 29 0b da 0c 73 75 62 73 65 D...rC...r/.....product)...subse
8b00 74 5f 73 69 7a 65 73 72 31 00 00 00 da 07 65 78 74 65 6e 74 73 da 05 73 74 61 72 74 da 03 65 6e t_sizesr1.....extents..start..en
8b20 64 72 45 00 00 00 72 28 00 00 00 72 92 00 00 00 da 03 65 72 72 da 07 73 75 62 73 65 74 31 da 07 drE...r(...r......err..subset1..
8b40 73 75 62 73 65 74 32 73 0b 00 00 00 20 20 20 20 20 20 20 20 20 20 20 72 2a 00 00 00 72 0b 00 00 subset2s...............r*...r...
8b60 00 72 0b 00 00 00 d4 03 00 00 73 2f 01 00 00 80 00 f4 7a 01 00 09 0e 8b 07 80 41 e4 07 0a 88 3c .r........s/......z.......A....<
8b80 d3 07 18 98 41 d2 07 1d d8 0f 10 88 08 f0 06 07 05 57 01 dc 12 1a 9c 39 d7 1b 2f d1 1b 2f b0 04 ....A............W.....9../../..
8ba0 b0 7c d1 30 43 d3 1b 44 d3 12 45 88 07 d8 37 3e d7 12 3f a9 1a a8 15 b0 03 94 35 98 15 a0 03 d5 .|.0C..D..E...7>..?.......5.....
8bc0 13 24 d0 12 3f 88 07 d1 12 3f f4 08 00 0c 0f d1 0e 31 a0 4c d4 0e 31 d4 0b 31 dc 12 1f d0 22 46 .$..?....?.......1.L..1..1...."F
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8c00 89 49 88 41 88 76 d8 0c 0d d7 0c 1c d1 0c 1c 98 56 a8 41 d0 0c 1c d5 0c 2e f1 03 01 09 2f f4 0e .I.A.v..........V.A........../..
8c20 00 1d 26 d7 1c 32 d1 1c 32 b0 37 b8 41 d3 1c 3e f2 00 01 05 3e d1 08 18 88 07 90 17 d8 08 09 d7 ..&..2..2.7.A..>....>...........
8c40 08 18 d1 08 18 9c 19 d7 19 2a d1 19 2a a8 37 b0 47 d3 19 3c d5 08 3d f0 03 01 05 3e e0 0b 0c 80 .........*..*.7.G..<..=....>....
8c60 48 f9 f3 27 00 13 40 01 f8 dc 0b 14 f2 00 01 05 1f d8 12 1e 8a 07 f0 03 01 05 1f fb f4 16 00 0c H..'..@.........................
8c80 15 f2 00 01 05 54 01 dc 0e 1b d0 1c 49 d3 0e 4a d0 50 53 d0 08 53 fb f0 03 01 05 54 01 fa 73 3b .....T......I..J.PS..S.....T..s;
8ca0 00 00 00 9c 26 43 2e 00 c1 02 16 43 28 06 c1 18 03 43 2e 00 c1 3c 26 43 3f 00 c3 28 06 43 2e 00 ....&C.....C(....C...<&C?..(.C..
8cc0 c3 2e 0b 43 3c 03 c3 3b 01 43 3c 03 c3 3f 09 44 19 03 c4 08 0c 44 14 03 c4 14 05 44 19 03 72 36 ...C<..;.C<..?.D.....D.....D..r6
8ce0 00 00 00 29 24 da 07 5f 5f 64 6f 63 5f 5f 72 42 00 00 00 72 75 00 00 00 da 08 6e 65 74 77 6f 72 ...)$..__doc__rB...ru.....networ
8d00 6b 78 72 40 00 00 00 da 10 6e 65 74 77 6f 72 6b 78 2e 63 6c 61 73 73 65 73 72 03 00 00 00 da 12 kxr@.....networkx.classesr......
8d20 6e 65 74 77 6f 72 6b 78 2e 65 78 63 65 70 74 69 6f 6e 72 04 00 00 00 da 0e 6e 65 74 77 6f 72 6b networkx.exceptionr......network
8d40 78 2e 75 74 69 6c 73 72 05 00 00 00 72 06 00 00 00 da 07 5f 5f 61 6c 6c 5f 5f 72 2b 00 00 00 da x.utilsr....r......__all__r+....
8d60 0d 5f 64 69 73 70 61 74 63 68 61 62 6c 65 72 11 00 00 00 72 12 00 00 00 72 07 00 00 00 72 08 00 ._dispatchabler....r....r....r..
8d80 00 00 72 09 00 00 00 72 0a 00 00 00 72 0c 00 00 00 72 0d 00 00 00 72 0e 00 00 00 72 0f 00 00 00 ..r....r....r....r....r....r....
8da0 72 10 00 00 00 72 13 00 00 00 72 14 00 00 00 72 15 00 00 00 72 16 00 00 00 72 17 00 00 00 72 18 r....r....r....r....r....r....r.
8dc0 00 00 00 72 19 00 00 00 72 1a 00 00 00 72 1b 00 00 00 72 0b 00 00 00 72 71 00 00 00 72 32 00 00 ...r....r....r....r....rq...r2..
8de0 00 72 2a 00 00 00 fa 08 3c 6d 6f 64 75 6c 65 3e 72 a5 00 00 00 01 00 00 00 73 98 03 00 00 f0 03 .r*.....<module>r........s......
8e00 01 01 01 f1 02 0a 01 04 f3 18 00 01 11 db 00 0e e3 00 15 dd 00 22 dd 00 2c df 00 34 f2 04 16 0b ....................."..,..4....
8e20 02 80 07 f2 3c 0f 01 16 f0 24 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 f2 02 22 01 ....<....$..............T..2..".
8e40 0d f3 03 00 02 33 f0 02 22 01 0d f0 4a 01 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 .....3.."...J...............T..2
8e60 f1 02 2b 01 0d f3 03 00 02 33 f0 02 2b 01 0d f0 5c 01 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 ..+......3..+...\...............
8e80 54 d4 01 32 f2 02 2e 01 3b f3 03 00 02 33 f0 02 2e 01 3b f0 62 01 00 02 12 80 12 d7 01 11 d1 01 T..2....;....3....;.b...........
8ea0 11 98 14 a8 54 d4 01 32 f2 02 45 01 01 0d f3 03 00 02 33 f0 02 45 01 01 0d f0 50 02 00 02 12 80 ....T..2..E.......3..E....P.....
8ec0 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 f2 02 22 01 0d f3 03 00 02 33 f0 02 22 01 0d f0 4a 01 ..........T..2.."......3.."...J.
8ee0 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 d9 01 10 90 11 d3 01 13 f2 02 2b 01 0d f3 ..............T..2..........+...
8f00 03 00 02 14 f3 03 00 02 33 f0 04 2b 01 0d f0 5c 01 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 ........3..+...\...............T
8f20 d4 01 32 f2 02 10 01 0d f3 03 00 02 33 f0 02 10 01 0d f0 26 00 02 12 80 12 d7 01 11 d1 01 11 98 ..2.........3......&............
8f40 14 a8 54 d4 01 32 f2 02 47 01 01 0d f3 03 00 02 33 f0 02 47 01 01 0d f0 54 02 00 02 12 80 12 d7 ..T..2..G.......3..G....T.......
8f60 01 11 d1 01 11 98 14 a8 54 d4 01 32 d9 01 10 90 11 d3 01 13 f2 02 1b 01 0d f3 03 00 02 14 f3 03 ........T..2....................
8f80 00 02 33 f0 04 1b 01 0d f0 3c 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 f2 02 48 01 ..3......<..............T..2..H.
8fa0 01 0d f3 03 00 02 33 f0 02 48 01 01 0d f0 56 02 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 ......3..H....V...............T.
8fc0 01 32 d9 01 10 90 11 d3 01 13 d8 12 13 a0 24 b0 05 f2 00 5e 01 01 0d f3 03 00 02 14 f3 03 00 02 .2............$....^............
8fe0 33 f0 04 5e 01 01 0d f0 42 03 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 f2 02 13 01 3..^....B...............T..2....
9000 0d f3 03 00 02 33 f0 02 13 01 0d f0 2c 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 d9 .....3......,..............T..2.
9020 01 10 90 21 90 51 90 16 d3 01 18 f2 02 3e 01 0d f3 03 00 02 19 f3 03 00 02 33 f0 04 3e 01 0d f0 ...!.Q.......>...........3..>...
9040 42 02 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 f2 02 07 01 0d f3 03 00 02 33 f0 02 B...............T..2.........3..
9060 07 01 0d f0 14 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 d9 01 10 90 11 d3 01 13 f2 ...................T..2.........
9080 02 15 01 0d f3 03 00 02 14 f3 03 00 02 33 f0 04 15 01 0d f0 30 00 02 12 80 12 d7 01 11 d1 01 11 .............3......0...........
90a0 98 14 a8 54 d4 01 32 d9 01 10 90 11 d3 01 13 f2 02 22 01 0d f3 03 00 02 14 f3 03 00 02 33 f0 04 ...T..2.........."...........3..
90c0 22 01 0d f0 4a 01 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 d9 01 10 90 21 90 51 90 "...J...............T..2....!.Q.
90e0 16 d3 01 18 f2 02 39 01 0d f3 03 00 02 19 f3 03 00 02 33 f0 04 39 01 0d f0 78 01 00 02 12 80 12 ......9...........3..9...x......
9100 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 f2 02 09 01 0d f3 03 00 02 33 f0 02 09 01 0d f0 18 00 02 .........T..2.........3.........
9120 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 f1 02 22 01 0d f3 03 00 02 33 f0 02 22 01 0d f0 ............T..2.."......3.."...
9140 4a 01 00 02 12 80 12 d7 01 11 d1 01 11 98 14 a8 54 d4 01 32 d9 01 10 90 11 d3 01 13 f2 02 1f 01 J...............T..2............
9160 0d f3 03 00 02 14 f3 03 00 02 33 f0 04 1f 01 0d f0 44 01 00 02 12 80 12 d7 01 11 d1 01 11 98 14 ..........3......D..............
9180 a8 54 d4 01 32 f1 02 57 01 01 0d f3 03 00 02 33 f1 02 57 01 01 0d 72 32 00 00 00 .T..2..W.......3..W...r2...
generated by cgit v1.2.3 (git 2.25.1) at 2025-12-07 05:26:57 +0000