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path: root/.venv/lib/python3.12/site-packages/networkx/algorithms/__pycache__/triads.cpython-312.pyc
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10c0 77 61 6e 74 20 74 6f 20 63 61 6c 63 75 6c 61 74 65 20 74 72 69 61 64 69 63 20 63 65 6e 73 75 73 want.to.calculate.triadic.census
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11c0 20 20 20 3e 3e 3e 20 74 72 69 61 64 69 63 5f 63 65 6e 73 75 73 20 3d 20 6e 78 2e 74 72 69 61 64 ...>>>.triadic_census.=.nx.triad
11e0 69 63 5f 63 65 6e 73 75 73 28 47 29 0a 20 20 20 20 3e 3e 3e 20 66 6f 72 20 6b 65 79 2c 20 76 61 ic_census(G).....>>>.for.key,.va
1200 6c 75 65 20 69 6e 20 74 72 69 61 64 69 63 5f 63 65 6e 73 75 73 2e 69 74 65 6d 73 28 29 3a 0a 20 lue.in.triadic_census.items():..
1220 20 20 20 2e 2e 2e 20 20 20 20 20 70 72 69 6e 74 28 66 22 7b 6b 65 79 7d 3a 20 7b 76 61 6c 75 65 ...........print(f"{key}:.{value
1240 7d 22 29 0a 20 20 20 20 30 30 33 3a 20 30 0a 20 20 20 20 30 31 32 3a 20 30 0a 20 20 20 20 31 30 }").....003:.0.....012:.0.....10
1260 32 3a 20 30 0a 20 20 20 20 30 32 31 44 3a 20 30 0a 20 20 20 20 30 32 31 55 3a 20 30 0a 20 20 20 2:.0.....021D:.0.....021U:.0....
1280 20 30 32 31 43 3a 20 30 0a 20 20 20 20 31 31 31 44 3a 20 30 0a 20 20 20 20 31 31 31 55 3a 20 30 .021C:.0.....111D:.0.....111U:.0
12a0 0a 20 20 20 20 30 33 30 54 3a 20 32 0a 20 20 20 20 30 33 30 43 3a 20 32 0a 20 20 20 20 32 30 31 .....030T:.2.....030C:.2.....201
12c0 3a 20 30 0a 20 20 20 20 31 32 30 44 3a 20 30 0a 20 20 20 20 31 32 30 55 3a 20 30 0a 20 20 20 20 :.0.....120D:.0.....120U:.0.....
12e0 31 32 30 43 3a 20 30 0a 20 20 20 20 32 31 30 3a 20 30 0a 20 20 20 20 33 30 30 3a 20 30 0a 0a 20 120C:.0.....210:.0.....300:.0...
1300 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 69 73 20 61 6c 67 6f ...Notes.....-----.....This.algo
1320 72 69 74 68 6d 20 68 61 73 20 63 6f 6d 70 6c 65 78 69 74 79 20 24 4f 28 6d 29 24 20 77 68 65 72 rithm.has.complexity.$O(m)$.wher
1340 65 20 24 6d 24 20 69 73 20 74 68 65 20 6e 75 6d 62 65 72 20 6f 66 20 65 64 67 65 73 20 69 6e 0a e.$m$.is.the.number.of.edges.in.
1360 20 20 20 20 74 68 65 20 67 72 61 70 68 2e 0a 0a 20 20 20 20 46 6f 72 20 75 6e 64 69 72 65 63 74 ....the.graph.......For.undirect
1380 65 64 20 67 72 61 70 68 73 2c 20 74 68 65 20 74 72 69 61 64 69 63 20 63 65 6e 73 75 73 20 63 61 ed.graphs,.the.triadic.census.ca
13a0 6e 20 62 65 20 63 6f 6d 70 75 74 65 64 20 62 79 20 66 69 72 73 74 20 63 6f 6e 76 65 72 74 69 6e n.be.computed.by.first.convertin
13c0 67 0a 20 20 20 20 74 68 65 20 67 72 61 70 68 20 69 6e 74 6f 20 61 20 64 69 72 65 63 74 65 64 20 g.....the.graph.into.a.directed.
13e0 67 72 61 70 68 20 75 73 69 6e 67 20 74 68 65 20 60 60 47 2e 74 6f 5f 64 69 72 65 63 74 65 64 28 graph.using.the.``G.to_directed(
1400 29 60 60 20 6d 65 74 68 6f 64 2e 0a 20 20 20 20 41 66 74 65 72 20 74 68 69 73 20 63 6f 6e 76 65 )``.method......After.this.conve
1420 72 73 69 6f 6e 2c 20 6f 6e 6c 79 20 74 68 65 20 74 72 69 61 64 20 74 79 70 65 73 20 30 30 33 2c rsion,.only.the.triad.types.003,
1440 20 31 30 32 2c 20 32 30 31 20 61 6e 64 20 33 30 30 20 77 69 6c 6c 20 62 65 0a 20 20 20 20 70 72 .102,.201.and.300.will.be.....pr
1460 65 73 65 6e 74 20 69 6e 20 74 68 65 20 75 6e 64 69 72 65 63 74 65 64 20 73 63 65 6e 61 72 69 6f esent.in.the.undirected.scenario
1480 2e 0a 0a 20 20 20 20 52 61 69 73 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 56 61 6c .......Raises.....------.....Val
14a0 75 65 45 72 72 6f 72 0a 20 20 20 20 20 20 20 20 49 66 20 60 6e 6f 64 65 6c 69 73 74 60 20 63 6f ueError.........If.`nodelist`.co
14c0 6e 74 61 69 6e 73 20 64 75 70 6c 69 63 61 74 65 20 6e 6f 64 65 73 20 6f 72 20 6e 6f 64 65 73 20 ntains.duplicate.nodes.or.nodes.
14e0 6e 6f 74 20 69 6e 20 60 47 60 2e 0a 20 20 20 20 20 20 20 20 49 66 20 79 6f 75 20 77 61 6e 74 20 not.in.`G`..........If.you.want.
1500 74 6f 20 69 67 6e 6f 72 65 20 74 68 69 73 20 79 6f 75 20 63 61 6e 20 70 72 65 70 72 6f 63 65 73 to.ignore.this.you.can.preproces
1520 73 20 77 69 74 68 20 60 73 65 74 28 6e 6f 64 65 6c 69 73 74 29 20 26 20 47 2e 6e 6f 64 65 73 60 s.with.`set(nodelist).&.G.nodes`
1540 0a 0a 20 20 20 20 53 65 65 20 61 6c 73 6f 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 ......See.also.....--------.....
1560 74 72 69 61 64 5f 67 72 61 70 68 0a 0a 20 20 20 20 52 65 66 65 72 65 6e 63 65 73 0a 20 20 20 20 triad_graph......References.....
1580 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 2e 2e 20 5b 31 5d 20 56 6c 61 64 69 6d 69 72 20 42 ----------........[1].Vladimir.B
15a0 61 74 61 67 65 6c 6a 20 61 6e 64 20 41 6e 64 72 65 6a 20 4d 72 76 61 72 2c 20 41 20 73 75 62 71 atagelj.and.Andrej.Mrvar,.A.subq
15c0 75 61 64 72 61 74 69 63 20 74 72 69 61 64 20 63 65 6e 73 75 73 0a 20 20 20 20 20 20 20 20 61 6c uadratic.triad.census.........al
15e0 67 6f 72 69 74 68 6d 20 66 6f 72 20 6c 61 72 67 65 20 73 70 61 72 73 65 20 6e 65 74 77 6f 72 6b gorithm.for.large.sparse.network
1600 73 20 77 69 74 68 20 73 6d 61 6c 6c 20 6d 61 78 69 6d 75 6d 20 64 65 67 72 65 65 2c 0a 20 20 20 s.with.small.maximum.degree,....
1620 20 20 20 20 20 55 6e 69 76 65 72 73 69 74 79 20 6f 66 20 4c 6a 75 62 6c 6a 61 6e 61 2c 0a 20 20 .....University.of.Ljubljana,...
1640 20 20 20 20 20 20 68 74 74 70 3a 2f 2f 76 6c 61 64 6f 2e 66 6d 66 2e 75 6e 69 2d 6c 6a 2e 73 69 ......http://vlado.fmf.uni-lj.si
1660 2f 70 75 62 2f 6e 65 74 77 6f 72 6b 73 2f 64 6f 63 2f 74 72 69 61 64 73 2f 74 72 69 61 64 73 2e /pub/networks/doc/triads/triads.
1680 70 64 66 0a 0a 20 20 20 20 7a 33 6e 6f 64 65 6c 69 73 74 20 69 6e 63 6c 75 64 65 73 20 64 75 70 pdf......z3nodelist.includes.dup
16a0 6c 69 63 61 74 65 20 6e 6f 64 65 73 20 6f 72 20 6e 6f 64 65 73 20 6e 6f 74 20 69 6e 20 47 63 01 licate.nodes.or.nodes.not.in.Gc.
16c0 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 33 00 00 00 f3 32 00 00 00 95 01 4b 00 01 00 97 00 ...............3....2.....K.....
16e0 7c 00 5d 0e 00 00 5c 02 00 00 7d 01 7d 02 7c 02 7c 01 89 03 7a 00 00 00 66 02 96 01 97 01 01 00 |.]...\...}.}.|.|...z...f.......
1700 8c 10 04 00 79 00 ad 03 77 01 72 30 00 00 00 72 31 00 00 00 29 04 72 32 00 00 00 da 01 69 da 01 ....y...w.r0...r1...).r2.....i..
1720 6e da 01 4e 73 04 00 00 00 20 20 20 80 72 37 00 00 00 72 38 00 00 00 7a 21 74 72 69 61 64 69 63 n..Ns........r7...r8...z!triadic
1740 5f 63 65 6e 73 75 73 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 70 72 3e d5 00 00 00 73 1d _census.<locals>.<genexpr>....s.
1760 00 00 00 f8 e8 00 f8 80 00 d2 10 3f a1 04 a0 01 a0 31 90 21 90 51 98 11 91 55 94 1a d1 10 3f f9 ...........?.....1.!.Q...U....?.
1780 73 04 00 00 00 83 14 17 01 63 01 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 33 00 00 00 f3 40 s........c................3....@
17a0 00 00 00 95 02 4b 00 01 00 97 00 7c 00 5d 15 00 00 7d 01 89 04 7c 01 19 00 00 00 44 00 5d 0b 00 .....K.....|.]...}...|.....D.]..
17c0 00 7d 02 7c 02 89 03 76 01 73 01 8c 08 64 00 96 01 97 01 01 00 8c 0d 04 00 8c 17 04 00 79 01 ad .}.|...v.s...d...............y..
17e0 03 77 01 a9 02 72 0d 00 00 00 4e 72 31 00 00 00 29 05 72 32 00 00 00 72 42 00 00 00 da 03 6e 62 .w...r....Nr1...).r2...rB.....nb
1800 72 da 07 6e 6f 64 65 73 65 74 da 08 73 67 6c 5f 6e 62 72 73 73 05 00 00 00 20 20 20 80 80 72 37 r..nodeset..sgl_nbrss.........r7
1820 00 00 00 72 38 00 00 00 7a 21 74 72 69 61 64 69 63 5f 63 65 6e 73 75 73 2e 3c 6c 6f 63 61 6c 73 ...r8...z!triadic_census.<locals
1840 3e 2e 3c 67 65 6e 65 78 70 72 3e e0 00 00 00 f3 28 00 00 00 f8 e8 00 f8 80 00 d2 11 56 98 01 b0 >.<genexpr>.....(...........V...
1860 48 b8 51 b1 4b d2 11 56 a8 53 c0 33 c8 67 d2 43 55 94 21 d0 11 56 90 21 d1 11 56 f9 f3 08 00 00 H.Q.K..V.S.3.g.CU.!..V.!..V.....
1880 00 83 11 1e 01 95 09 1e 01 72 0e 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 33 .........r....c................3
18a0 00 00 00 f3 40 00 00 00 95 02 4b 00 01 00 97 00 7c 00 5d 15 00 00 7d 01 89 03 7c 01 19 00 00 00 ....@.....K.....|.]...}...|.....
18c0 44 00 5d 0b 00 00 7d 02 7c 02 89 04 76 01 73 01 8c 08 64 00 96 01 97 01 01 00 8c 0d 04 00 8c 17 D.]...}.|...v.s...d.............
18e0 04 00 79 01 ad 03 77 01 72 45 00 00 00 72 31 00 00 00 29 05 72 32 00 00 00 72 42 00 00 00 72 46 ..y...w.rE...r1...).r2...rB...rF
1900 00 00 00 da 08 64 62 6c 5f 6e 62 72 73 72 47 00 00 00 73 05 00 00 00 20 20 20 80 80 72 37 00 00 .....dbl_nbrsrG...s.........r7..
1920 00 72 38 00 00 00 7a 21 74 72 69 61 64 69 63 5f 63 65 6e 73 75 73 2e 3c 6c 6f 63 61 6c 73 3e 2e .r8...z!triadic_census.<locals>.
1940 3c 67 65 6e 65 78 70 72 3e e2 00 00 00 72 49 00 00 00 72 4a 00 00 00 72 02 00 00 00 72 0d 00 00 <genexpr>....rI...rJ...r....r...
1960 00 72 1f 00 00 00 72 1e 00 00 00 72 11 00 00 00 72 1d 00 00 00 29 11 da 03 73 65 74 da 0b 6e 62 .r....r....r....r....)...set..nb
1980 75 6e 63 68 5f 69 74 65 72 da 03 6c 65 6e da 0a 56 61 6c 75 65 45 72 72 6f 72 da 09 65 6e 75 6d unch_iter..len..ValueError..enum
19a0 65 72 61 74 65 da 05 6e 6f 64 65 73 da 06 75 70 64 61 74 65 da 04 70 72 65 64 da 04 6b 65 79 73 erate..nodes..update..pred..keys
19c0 da 04 73 75 63 63 72 39 00 00 00 da 04 64 69 63 74 da 08 66 72 6f 6d 6b 65 79 73 da 0b 54 52 49 ..succr9.....dict..fromkeys..TRI
19e0 41 44 5f 4e 41 4d 45 53 72 3c 00 00 00 da 0f 54 52 49 43 4f 44 45 5f 54 4f 5f 4e 41 4d 45 da 06 AD_NAMESr<.....TRICODE_TO_NAME..
1a00 76 61 6c 75 65 73 29 22 72 36 00 00 00 da 08 6e 6f 64 65 6c 69 73 74 da 04 4e 6e 6f 74 72 41 00 values)"r6.....nodelist..NnotrA.
1a20 00 00 72 42 00 00 00 da 01 6d da 0b 6e 6f 74 5f 6e 6f 64 65 73 65 74 da 04 6e 62 72 73 da 03 73 ..rB.....m..not_nodeset..nbrs..s
1a40 67 6c da 11 73 67 6c 5f 65 64 67 65 73 5f 6f 75 74 73 69 64 65 da 03 64 62 6c da 11 64 62 6c 5f gl..sgl_edges_outside..dbl..dbl_
1a60 65 64 67 65 73 5f 6f 75 74 73 69 64 65 da 06 63 65 6e 73 75 73 72 34 00 00 00 da 05 76 6e 62 72 edges_outside..censusr4.....vnbr
1a80 73 da 09 64 62 6c 5f 76 6e 62 72 73 da 0d 73 67 6c 5f 75 6e 62 72 73 5f 62 64 79 da 0d 73 67 6c s..dbl_vnbrs..sgl_unbrs_bdy..sgl
1aa0 5f 75 6e 62 72 73 5f 6f 75 74 da 0d 64 62 6c 5f 75 6e 62 72 73 5f 62 64 79 da 0d 64 62 6c 5f 75 _unbrs_out..dbl_unbrs_bdy..dbl_u
1ac0 6e 62 72 73 5f 6f 75 74 72 33 00 00 00 da 05 75 6e 62 72 73 da 09 6e 65 69 67 68 62 6f 72 73 72 nbrs_outr3.....unbrs..neighborsr
1ae0 3a 00 00 00 da 04 63 6f 64 65 da 09 73 67 6c 5f 75 6e 62 72 73 da 09 64 62 6c 5f 75 6e 62 72 73 :.....code..sgl_unbrs..dbl_unbrs
1b00 da 0f 74 6f 74 61 6c 5f 74 72 69 61 6e 67 6c 65 73 da 19 74 72 69 61 6e 67 6c 65 73 5f 77 69 74 ..total_triangles..triangles_wit
1b20 68 6f 75 74 5f 6e 6f 64 65 73 65 74 da 0c 74 6f 74 61 6c 5f 63 65 6e 73 75 73 72 43 00 00 00 72 hout_nodeset..total_censusrC...r
1b40 4c 00 00 00 72 47 00 00 00 72 48 00 00 00 73 22 00 00 00 20 20 20 20 20 20 20 20 20 20 20 20 20 L...rG...rH...s"................
1b60 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 40 40 40 40 72 37 00 00 00 72 08 00 00 00 72 .................@@@@r7...r....r
1b80 08 00 00 00 81 00 00 00 73 ec 03 00 00 fb 80 00 f4 50 02 00 0f 12 90 21 97 2d 91 2d a0 08 d3 12 ........s........P.....!.-.-....
1ba0 29 d3 0e 2a 80 47 d8 07 0f d0 07 1b a4 03 a0 48 a3 0d b4 13 b0 57 b3 1c d2 20 3d dc 0e 18 d0 19 )..*.G.........H.....W....=.....
1bc0 4e d3 0e 4f d0 08 4f e4 08 0b 88 41 8b 06 80 41 d8 0b 0c 8c 73 90 37 8b 7c d1 0b 1b 80 44 f4 06 N..O..O....A...A....s.7.|....D..
1be0 00 1b 24 a0 47 d3 1a 2c d7 08 2d 91 24 90 21 90 51 88 11 88 41 89 14 d0 08 2d 80 41 d1 08 2d d9 ..$.G..,..-.$.!.Q...A....-.A..-.
1c00 07 0b e0 16 17 97 67 91 67 a0 07 d1 16 27 88 0b d8 08 09 8f 08 89 08 d3 10 3f ac 09 b0 2b d3 28 ......g.g....'...........?...+.(
1c20 3e d4 10 3f d4 08 3f f0 0a 00 3d 3e d6 0b 3e b0 71 88 41 88 71 8f 76 89 76 90 61 89 79 8f 7e 89 >..?..?...=>..>.q.A.q.v.v.a.y.~.
1c40 7e d3 0f 1f a0 21 a7 26 a1 26 a8 11 a1 29 a7 2e a1 2e d3 22 32 d1 0f 32 d1 0c 32 d0 0b 3e 80 44 ~....!.&.&...)....."2..2..2..>.D
1c60 d0 0b 3e d8 40 41 d6 0f 42 b8 31 90 01 90 31 97 36 91 36 98 21 91 39 97 3e 91 3e d3 13 23 a0 61 ..>.@A..B.1...1.6.6.!.9.>.>..#.a
1c80 a7 66 a1 66 a8 51 a1 69 a7 6e a1 6e d3 26 36 d1 13 36 d1 10 36 d2 0f 42 80 48 e1 07 0b d8 44 4f .f.f.Q.i.n.n.&6..6..6..B.H....DO
1ca0 d6 13 50 b8 71 90 41 90 71 97 76 91 76 98 61 91 79 97 7e 91 7e d3 17 27 a8 21 af 26 a9 26 b0 11 ..P.q.A.q.v.v.a.y.~.~..'.!.&.&..
1cc0 a9 29 af 2e a9 2e d3 2a 3a d1 17 3a d1 14 3a d2 13 50 88 08 e4 0e 11 d4 11 56 98 5b d4 11 56 d3 .).....*:..:..:..P.......V.[..V.
1ce0 0e 56 88 03 d8 1c 1f a0 31 99 48 d0 08 19 dc 0e 11 d4 11 56 98 5b d4 11 56 d3 0e 56 88 03 d8 1c .V......1.H........V.[..V..V....
1d00 1f a0 31 99 48 d0 08 19 f4 06 00 0e 12 8f 5d 89 5d 9c 3b a8 01 d3 0d 2a 80 46 e0 0d 14 f3 00 25 ..1.H.........].].;....*.F.....%
1d20 05 56 01 88 01 d8 10 14 90 51 91 07 88 05 d8 14 1c 98 51 91 4b 88 09 d9 0b 0f e0 4c 4d d0 0c 4d .V.......Q........Q.K......LM..M
1d40 88 4d d0 0c 4d 98 4d d0 0c 4d a8 4d b8 4d d8 11 16 f3 00 1a 09 42 01 88 41 d8 0f 10 90 11 89 74 .M..M.M..M.M.M.......B..A......t
1d60 90 71 98 11 91 74 8a 7c d8 10 18 d8 14 18 98 11 91 47 88 45 d8 19 1e a0 15 99 1d a8 31 a8 61 a8 .q...t.|.........G.E........1.a.
1d80 26 d1 18 30 88 49 e0 15 1e f2 00 03 0d 37 90 01 d8 13 14 90 51 91 34 98 21 98 41 99 24 92 3b a0 &..0.I.......7......Q.4.!.A.$.;.
1da0 31 a0 51 a1 34 a8 21 a8 41 a9 24 d4 23 35 b0 11 b0 31 b1 14 d6 23 35 b8 21 c0 34 c8 01 c1 37 d2 1.Q.4.!.A.$.#5...1...#5.!.4...7.
1dc0 3a 4a dc 1b 23 a0 41 a0 71 a8 21 a8 51 d3 1b 2f 90 44 d8 14 1a 9c 3f a8 34 d1 1b 30 d3 14 31 b0 :J..#.A.q.!.Q../.D....?.4..0..1.
1de0 51 d1 14 36 d4 14 31 f0 07 03 0d 37 f0 0c 00 10 11 90 49 89 7e d8 10 16 90 75 93 0d a0 11 a4 53 Q..6..1....7......I.~....u.....S
1e00 a8 19 a3 5e d1 21 33 b0 61 d1 21 37 d1 10 37 94 0d e0 10 16 90 75 93 0d a0 11 a4 53 a8 19 a3 5e ...^.!3.a.!7..7......u.....S...^
1e20 d1 21 33 b0 61 d1 21 37 d1 10 37 93 0d f2 0a 00 10 14 98 01 a0 17 d2 18 28 d8 1c 24 a0 51 99 4b .!3.a.!7..7.............(..$.Q.K
1e40 90 09 d8 10 1d a4 13 a0 59 b0 15 b8 17 b1 1f d1 25 40 d3 21 41 d1 10 41 90 0d d8 10 1d a4 13 a0 ........Y.......%@.!A..A........
1e60 59 b0 15 d1 25 36 b8 17 d1 25 40 d3 21 41 d1 10 41 90 0d d8 1c 24 a0 51 99 4b 90 09 d8 10 1d a4 Y...%6...%@.!A..A....$.Q.K......
1e80 13 a0 59 b0 15 b8 17 b1 1f d1 25 40 d3 21 41 d1 10 41 90 0d d8 10 1d a4 13 a0 59 b0 15 d1 25 36 ..Y.......%@.!A..A........Y...%6
1ea0 b8 17 d1 25 40 d3 21 41 d1 10 41 92 0d f0 35 1a 09 42 01 f3 38 00 0c 10 e0 0c 12 90 35 8b 4d d0 ...%@.!A..A...5..B..8.......5.M.
1ec0 1d 2e b0 2d c0 2d d0 53 54 d1 42 54 d1 32 54 d1 1d 55 d1 0c 55 8b 4d d8 0c 12 90 35 8b 4d d0 1d ...-.-.ST.BT.2T..U..U.M....5.M..
1ee0 2e b0 2d c0 2d d0 53 54 d1 42 54 d1 32 54 d1 1d 55 d1 0c 55 8d 4d f0 4b 01 25 05 56 01 f0 52 01 ..-.-.ST.BT.2T..U..U.M.K.%.V..R.
1f00 00 18 19 98 41 a0 01 99 45 91 7b a0 61 a8 21 a1 65 d1 17 2c b0 11 d1 16 32 80 4f d8 21 25 a8 14 ....A...E.{.a.!.e..,....2.O.!%..
1f20 b0 01 a9 18 d1 21 32 b0 64 b8 51 b1 68 d1 21 3f c0 41 d1 20 45 d0 04 1d d8 13 22 d0 25 3e d1 13 .....!2.d.Q.h.!?.A..E.....".%>..
1f40 3e 80 4c d8 14 20 a4 33 a0 76 a7 7d a1 7d a3 7f d3 23 37 d1 14 37 80 46 88 35 81 4d e0 0b 11 80 >.L....3.v.}.}...#7..7.F.5.M....
1f60 4d f9 f3 4b 02 00 09 2e f9 f2 12 00 0c 3f f9 da 0f 42 f9 f2 06 00 14 51 01 73 1b 00 00 00 c1 2a M..K.........?...B.....Q.s.....*
1f80 0d 4e 07 06 c2 32 41 03 4e 0d 04 c3 3b 41 03 4e 12 04 c5 07 41 03 4e 17 04 63 01 00 00 00 00 00 .N...2A.N...;A.N....A.N..c......
1fa0 00 00 00 00 00 00 05 00 00 00 03 00 00 00 f3 d0 00 00 00 87 00 97 00 74 01 00 00 00 00 00 00 00 .......................t........
1fc0 00 89 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 00 00 00 00 00 ...t.........j..................
1fe0 00 ab 02 00 00 00 00 00 00 72 4b 89 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .........rK..j..................
2000 00 ab 00 00 00 00 00 00 00 64 01 6b 28 00 00 72 38 74 03 00 00 00 00 00 00 00 00 6a 08 00 00 00 .........d.k(..r8t.........j....
2020 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 89 00 ab 01 00 00 00 00 00 00 72 23 74 0b 00 00 00 .........................r#t....
2040 00 00 00 00 00 88 00 66 01 64 02 84 08 89 00 6a 0d 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 .......f.d.....j................
2060 00 00 00 ab 00 00 00 00 00 00 00 44 00 ab 00 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 73 01 79 ...........D.................s.y
2080 03 79 04 29 05 61 74 01 00 00 52 65 74 75 72 6e 73 20 54 72 75 65 20 69 66 20 74 68 65 20 67 72 .y.).at...Returns.True.if.the.gr
20a0 61 70 68 20 47 20 69 73 20 61 20 74 72 69 61 64 2c 20 65 6c 73 65 20 46 61 6c 73 65 2e 0a 0a 20 aph.G.is.a.triad,.else.False....
20c0 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.....----------....
20e0 20 47 20 3a 20 67 72 61 70 68 0a 20 20 20 20 20 20 20 41 20 4e 65 74 77 6f 72 6b 58 20 47 72 61 .G.:.graph........A.NetworkX.Gra
2100 70 68 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 ph......Returns.....-------.....
2120 69 73 74 72 69 61 64 20 3a 20 62 6f 6f 6c 65 61 6e 0a 20 20 20 20 20 20 20 57 68 65 74 68 65 72 istriad.:.boolean........Whether
2140 20 47 20 69 73 20 61 20 76 61 6c 69 64 20 74 72 69 61 64 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 .G.is.a.valid.triad......Example
2160 73 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 44 69 s.....--------.....>>>.G.=.nx.Di
2180 47 72 61 70 68 28 5b 28 31 2c 20 32 29 2c 20 28 32 2c 20 33 29 2c 20 28 33 2c 20 31 29 5d 29 0a Graph([(1,.2),.(2,.3),.(3,.1)]).
21a0 20 20 20 20 3e 3e 3e 20 6e 78 2e 69 73 5f 74 72 69 61 64 28 47 29 0a 20 20 20 20 54 72 75 65 0a ....>>>.nx.is_triad(G).....True.
21c0 20 20 20 20 3e 3e 3e 20 47 2e 61 64 64 5f 65 64 67 65 28 30 2c 20 31 29 0a 20 20 20 20 3e 3e 3e ....>>>.G.add_edge(0,.1).....>>>
21e0 20 6e 78 2e 69 73 5f 74 72 69 61 64 28 47 29 0a 20 20 20 20 46 61 6c 73 65 0a 20 20 20 20 72 0f .nx.is_triad(G).....False.....r.
2200 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 04 00 00 00 33 00 00 00 f3 46 00 00 00 95 01 4b ...c................3....F.....K
2220 00 01 00 97 00 7c 00 5d 18 00 00 7d 01 7c 01 7c 01 66 02 89 02 6a 01 00 00 00 00 00 00 00 00 00 .....|.]...}.|.|.f...j..........
2240 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 76 00 96 01 97 01 01 00 8c 1a 04 00 79 00 ad .................v...........y..
2260 03 77 01 72 30 00 00 00 29 01 da 05 65 64 67 65 73 29 03 72 32 00 00 00 72 42 00 00 00 72 36 00 .w.r0...)...edges).r2...rB...r6.
2280 00 00 73 03 00 00 00 20 20 80 72 37 00 00 00 72 38 00 00 00 7a 1b 69 73 5f 74 72 69 61 64 2e 3c ..s.......r7...r8...z.is_triad.<
22a0 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 70 72 3e 32 01 00 00 73 20 00 00 00 f8 e8 00 f8 80 00 locals>.<genexpr>2...s..........
22c0 d2 16 3e a8 71 98 01 98 31 90 76 a0 11 a7 17 a1 17 a3 19 d4 17 2a d1 16 3e f9 73 04 00 00 00 83 ..>.q...1.v..........*..>.s.....
22e0 1e 21 01 54 46 29 07 da 0a 69 73 69 6e 73 74 61 6e 63 65 da 02 6e 78 da 05 47 72 61 70 68 da 05 .!.TF)...isinstance..nx..Graph..
2300 6f 72 64 65 72 da 0b 69 73 5f 64 69 72 65 63 74 65 64 da 03 61 6e 79 72 52 00 00 00 29 01 72 36 order..is_directed..anyrR...).r6
2320 00 00 00 73 01 00 00 00 60 72 37 00 00 00 72 09 00 00 00 72 09 00 00 00 19 01 00 00 73 45 00 00 ...s....`r7...r....r........sE..
2340 00 f8 80 00 f4 2e 00 08 12 90 21 94 52 97 58 91 58 d4 07 1e d8 0b 0c 8f 37 89 37 8b 39 98 01 8a ..........!.R.X.X.......7.7.9...
2360 3e 9c 62 9f 6e 99 6e a8 51 d4 1e 2f dc 13 16 d3 16 3e b0 41 b7 47 b1 47 b3 49 d4 16 3e d4 13 3e >.b.n.n.Q../.....>.A.G.G.I..>..>
2380 d8 17 1b d8 0b 10 72 3d 00 00 00 54 29 01 da 0d 72 65 74 75 72 6e 73 5f 67 72 61 70 68 63 01 00 ......r=...T)...returns_graphc..
23a0 00 00 00 00 00 00 00 00 00 00 04 00 00 00 23 00 00 00 f3 90 00 00 00 4b 00 01 00 97 00 74 01 00 ..............#........K.....t..
23c0 00 00 00 00 00 00 00 7c 00 6a 03 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 .......|.j......................
23e0 00 00 00 00 00 64 01 ab 02 00 00 00 00 00 00 7d 01 7c 01 44 00 5d 23 00 00 7d 02 7c 00 6a 05 00 .....d.........}.|.D.]#..}.|.j..
2400 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 6a 07 00 00 00 .................|.........j....
2420 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 96 01 97 01 01 00 8c 25 04 ..............................%.
2440 00 79 02 ad 03 77 01 29 03 61 03 02 00 00 41 20 67 65 6e 65 72 61 74 6f 72 20 6f 66 20 61 6c 6c .y...w.).a....A.generator.of.all
2460 20 70 6f 73 73 69 62 6c 65 20 74 72 69 61 64 73 20 69 6e 20 47 2e 0a 0a 20 20 20 20 50 61 72 61 .possible.triads.in.G.......Para
2480 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 47 20 3a 20 64 69 meters.....----------.....G.:.di
24a0 67 72 61 70 68 0a 20 20 20 20 20 20 20 41 20 4e 65 74 77 6f 72 6b 58 20 44 69 47 72 61 70 68 0a graph........A.NetworkX.DiGraph.
24c0 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 61 6c 6c .....Returns.....-------.....all
24e0 5f 74 72 69 61 64 73 20 3a 20 67 65 6e 65 72 61 74 6f 72 20 6f 66 20 44 69 47 72 61 70 68 73 0a _triads.:.generator.of.DiGraphs.
2500 20 20 20 20 20 20 20 47 65 6e 65 72 61 74 6f 72 20 6f 66 20 74 72 69 61 64 73 20 28 6f 72 64 65 .......Generator.of.triads.(orde
2520 72 2d 33 20 44 69 47 72 61 70 68 73 29 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 r-3.DiGraphs)......Examples.....
2540 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 44 69 47 72 61 70 68 28 --------.....>>>.G.=.nx.DiGraph(
2560 5b 28 31 2c 20 32 29 2c 20 28 32 2c 20 33 29 2c 20 28 33 2c 20 31 29 2c 20 28 33 2c 20 34 29 2c [(1,.2),.(2,.3),.(3,.1),.(3,.4),
2580 20 28 34 2c 20 31 29 2c 20 28 34 2c 20 32 29 5d 29 0a 20 20 20 20 3e 3e 3e 20 66 6f 72 20 74 72 .(4,.1),.(4,.2)]).....>>>.for.tr
25a0 69 61 64 20 69 6e 20 6e 78 2e 61 6c 6c 5f 74 72 69 61 64 73 28 47 29 3a 0a 20 20 20 20 2e 2e 2e iad.in.nx.all_triads(G):........
25c0 20 20 20 20 20 70 72 69 6e 74 28 74 72 69 61 64 2e 65 64 67 65 73 29 0a 20 20 20 20 5b 28 31 2c .....print(triad.edges).....[(1,
25e0 20 32 29 2c 20 28 32 2c 20 33 29 2c 20 28 33 2c 20 31 29 5d 0a 20 20 20 20 5b 28 31 2c 20 32 29 .2),.(2,.3),.(3,.1)].....[(1,.2)
2600 2c 20 28 34 2c 20 31 29 2c 20 28 34 2c 20 32 29 5d 0a 20 20 20 20 5b 28 33 2c 20 31 29 2c 20 28 ,.(4,.1),.(4,.2)].....[(3,.1),.(
2620 33 2c 20 34 29 2c 20 28 34 2c 20 31 29 5d 0a 20 20 20 20 5b 28 32 2c 20 33 29 2c 20 28 33 2c 20 3,.4),.(4,.1)].....[(2,.3),.(3,.
2640 34 29 2c 20 28 34 2c 20 32 29 5d 0a 0a 20 20 20 20 72 0f 00 00 00 4e 29 04 72 04 00 00 00 72 52 4),.(4,.2)]......r....N).r....rR
2660 00 00 00 da 08 73 75 62 67 72 61 70 68 da 04 63 6f 70 79 29 03 72 36 00 00 00 da 08 74 72 69 70 .....subgraph..copy).r6.....trip
2680 6c 65 74 73 da 07 74 72 69 70 6c 65 74 73 03 00 00 00 20 20 20 72 37 00 00 00 72 0a 00 00 00 72 lets..triplets.......r7...r....r
26a0 0a 00 00 00 37 01 00 00 73 41 00 00 00 e8 00 f8 80 00 f4 34 00 10 1c 98 41 9f 47 99 47 9b 49 a0 ....7...sA.........4....A.G.G.I.
26c0 71 d3 0f 29 80 48 d8 13 1b f2 00 01 05 29 88 07 d8 0e 0f 8f 6a 89 6a 98 17 d3 0e 21 d7 0e 26 d1 q..).H.......)......j.j....!..&.
26e0 0e 26 d3 0e 28 d3 08 28 f1 03 01 05 29 f9 73 06 00 00 00 82 41 04 41 06 01 63 01 00 00 00 00 00 .&..(..(....).s.....A.A..c......
2700 00 00 00 00 00 00 04 00 00 00 03 00 00 00 f3 86 00 00 00 97 00 74 01 00 00 00 00 00 00 00 00 7c .....................t.........|
2720 00 ab 01 00 00 00 00 00 00 7d 01 74 03 00 00 00 00 00 00 00 00 74 04 00 00 00 00 00 00 00 00 ab .........}.t.........t..........
2740 01 00 00 00 00 00 00 7d 02 7c 01 44 00 5d 21 00 00 7d 03 74 07 00 00 00 00 00 00 00 00 7c 03 ab .......}.|.D.]!..}.t.........|..
2760 01 00 00 00 00 00 00 7d 04 7c 02 7c 04 19 00 00 00 6a 09 00 00 00 00 00 00 00 00 00 00 00 00 00 .......}.|.|.....j..............
2780 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 01 00 8c 23 04 00 7c 02 53 00 29 01 61 fe 05 00 00 .....|............#..|.S.).a....
27a0 52 65 74 75 72 6e 73 20 61 20 6c 69 73 74 20 6f 66 20 61 6c 6c 20 74 72 69 61 64 73 20 66 6f 72 Returns.a.list.of.all.triads.for
27c0 20 65 61 63 68 20 74 72 69 61 64 20 74 79 70 65 20 69 6e 20 61 20 64 69 72 65 63 74 65 64 20 67 .each.triad.type.in.a.directed.g
27e0 72 61 70 68 2e 0a 20 20 20 20 54 68 65 72 65 20 61 72 65 20 65 78 61 63 74 6c 79 20 31 36 20 64 raph......There.are.exactly.16.d
2800 69 66 66 65 72 65 6e 74 20 74 79 70 65 73 20 6f 66 20 74 72 69 61 64 73 20 70 6f 73 73 69 62 6c ifferent.types.of.triads.possibl
2820 65 2e 20 53 75 70 70 6f 73 65 20 31 2c 20 32 2c 20 33 20 61 72 65 20 74 68 72 65 65 0a 20 20 20 e..Suppose.1,.2,.3.are.three....
2840 20 6e 6f 64 65 73 2c 20 74 68 65 79 20 77 69 6c 6c 20 62 65 20 63 6c 61 73 73 69 66 69 65 64 20 .nodes,.they.will.be.classified.
2860 61 73 20 61 20 70 61 72 74 69 63 75 6c 61 72 20 74 72 69 61 64 20 74 79 70 65 20 69 66 20 74 68 as.a.particular.triad.type.if.th
2880 65 69 72 20 63 6f 6e 6e 65 63 74 69 6f 6e 73 0a 20 20 20 20 61 72 65 20 61 73 20 66 6f 6c 6c 6f eir.connections.....are.as.follo
28a0 77 73 3a 0a 0a 20 20 20 20 2d 20 30 30 33 3a 20 31 2c 20 32 2c 20 33 0a 20 20 20 20 2d 20 30 31 ws:......-.003:.1,.2,.3.....-.01
28c0 32 3a 20 31 20 2d 3e 20 32 2c 20 33 0a 20 20 20 20 2d 20 31 30 32 3a 20 31 20 3c 2d 3e 20 32 2c 2:.1.->.2,.3.....-.102:.1.<->.2,
28e0 20 33 0a 20 20 20 20 2d 20 30 32 31 44 3a 20 31 20 3c 2d 20 32 20 2d 3e 20 33 0a 20 20 20 20 2d .3.....-.021D:.1.<-.2.->.3.....-
2900 20 30 32 31 55 3a 20 31 20 2d 3e 20 32 20 3c 2d 20 33 0a 20 20 20 20 2d 20 30 32 31 43 3a 20 31 .021U:.1.->.2.<-.3.....-.021C:.1
2920 20 2d 3e 20 32 20 2d 3e 20 33 0a 20 20 20 20 2d 20 31 31 31 44 3a 20 31 20 3c 2d 3e 20 32 20 3c .->.2.->.3.....-.111D:.1.<->.2.<
2940 2d 20 33 0a 20 20 20 20 2d 20 31 31 31 55 3a 20 31 20 3c 2d 3e 20 32 20 2d 3e 20 33 0a 20 20 20 -.3.....-.111U:.1.<->.2.->.3....
2960 20 2d 20 30 33 30 54 3a 20 31 20 2d 3e 20 32 20 2d 3e 20 33 2c 20 31 20 2d 3e 20 33 0a 20 20 20 .-.030T:.1.->.2.->.3,.1.->.3....
2980 20 2d 20 30 33 30 43 3a 20 31 20 3c 2d 20 32 20 3c 2d 20 33 2c 20 31 20 2d 3e 20 33 0a 20 20 20 .-.030C:.1.<-.2.<-.3,.1.->.3....
29a0 20 2d 20 32 30 31 3a 20 31 20 3c 2d 3e 20 32 20 3c 2d 3e 20 33 0a 20 20 20 20 2d 20 31 32 30 44 .-.201:.1.<->.2.<->.3.....-.120D
29c0 3a 20 31 20 3c 2d 20 32 20 2d 3e 20 33 2c 20 31 20 3c 2d 3e 20 33 0a 20 20 20 20 2d 20 31 32 30 :.1.<-.2.->.3,.1.<->.3.....-.120
29e0 55 3a 20 31 20 2d 3e 20 32 20 3c 2d 20 33 2c 20 31 20 3c 2d 3e 20 33 0a 20 20 20 20 2d 20 31 32 U:.1.->.2.<-.3,.1.<->.3.....-.12
2a00 30 43 3a 20 31 20 2d 3e 20 32 20 2d 3e 20 33 2c 20 31 20 3c 2d 3e 20 33 0a 20 20 20 20 2d 20 32 0C:.1.->.2.->.3,.1.<->.3.....-.2
2a20 31 30 3a 20 31 20 2d 3e 20 32 20 3c 2d 3e 20 33 2c 20 31 20 3c 2d 3e 20 33 0a 20 20 20 20 2d 20 10:.1.->.2.<->.3,.1.<->.3.....-.
2a40 33 30 30 3a 20 31 20 3c 2d 3e 20 32 20 3c 2d 3e 20 33 2c 20 31 20 3c 2d 3e 20 33 0a 0a 20 20 20 300:.1.<->.2.<->.3,.1.<->.3.....
2a60 20 52 65 66 65 72 20 74 6f 20 74 68 65 20 3a 64 6f 63 3a 60 65 78 61 6d 70 6c 65 20 67 61 6c 6c .Refer.to.the.:doc:`example.gall
2a80 65 72 79 20 3c 2f 61 75 74 6f 5f 65 78 61 6d 70 6c 65 73 2f 67 72 61 70 68 2f 70 6c 6f 74 5f 74 ery.</auto_examples/graph/plot_t
2aa0 72 69 61 64 5f 74 79 70 65 73 3e 60 0a 20 20 20 20 66 6f 72 20 76 69 73 75 61 6c 20 65 78 61 6d riad_types>`.....for.visual.exam
2ac0 70 6c 65 73 20 6f 66 20 74 68 65 20 74 72 69 61 64 20 74 79 70 65 73 2e 0a 0a 20 20 20 20 50 61 ples.of.the.triad.types.......Pa
2ae0 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 20 47 20 3a 20 rameters.....----------.....G.:.
2b00 64 69 67 72 61 70 68 0a 20 20 20 20 20 20 20 41 20 4e 65 74 77 6f 72 6b 58 20 44 69 47 72 61 70 digraph........A.NetworkX.DiGrap
2b20 68 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 74 h......Returns.....-------.....t
2b40 72 69 5f 62 79 5f 74 79 70 65 20 3a 20 64 69 63 74 0a 20 20 20 20 20 20 20 44 69 63 74 69 6f 6e ri_by_type.:.dict........Diction
2b60 61 72 79 20 77 69 74 68 20 74 72 69 61 64 20 74 79 70 65 73 20 61 73 20 6b 65 79 73 20 61 6e 64 ary.with.triad.types.as.keys.and
2b80 20 6c 69 73 74 73 20 6f 66 20 74 72 69 61 64 73 20 61 73 20 76 61 6c 75 65 73 2e 0a 0a 20 20 20 .lists.of.triads.as.values......
2ba0 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 3e 3e 3e 20 47 .Examples.....--------.....>>>.G
2bc0 20 3d 20 6e 78 2e 44 69 47 72 61 70 68 28 5b 28 31 2c 20 32 29 2c 20 28 31 2c 20 33 29 2c 20 28 .=.nx.DiGraph([(1,.2),.(1,.3),.(
2be0 32 2c 20 33 29 2c 20 28 33 2c 20 31 29 2c 20 28 35 2c 20 36 29 2c 20 28 35 2c 20 34 29 2c 20 28 2,.3),.(3,.1),.(5,.6),.(5,.4),.(
2c00 36 2c 20 37 29 5d 29 0a 20 20 20 20 3e 3e 3e 20 64 69 63 74 20 3d 20 6e 78 2e 74 72 69 61 64 73 6,.7)]).....>>>.dict.=.nx.triads
2c20 5f 62 79 5f 74 79 70 65 28 47 29 0a 20 20 20 20 3e 3e 3e 20 64 69 63 74 5b 22 31 32 30 43 22 5d _by_type(G).....>>>.dict["120C"]
2c40 5b 30 5d 2e 65 64 67 65 73 28 29 0a 20 20 20 20 4f 75 74 45 64 67 65 56 69 65 77 28 5b 28 31 2c [0].edges().....OutEdgeView([(1,
2c60 20 32 29 2c 20 28 31 2c 20 33 29 2c 20 28 32 2c 20 33 29 2c 20 28 33 2c 20 31 29 5d 29 0a 20 20 .2),.(1,.3),.(2,.3),.(3,.1)])...
2c80 20 20 3e 3e 3e 20 64 69 63 74 5b 22 30 31 32 22 5d 5b 30 5d 2e 65 64 67 65 73 28 29 0a 20 20 20 ..>>>.dict["012"][0].edges()....
2ca0 20 4f 75 74 45 64 67 65 56 69 65 77 28 5b 28 31 2c 20 32 29 5d 29 0a 0a 20 20 20 20 52 65 66 65 .OutEdgeView([(1,.2)])......Refe
2cc0 72 65 6e 63 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 2e 2e 20 5b 31 5d rences.....----------........[1]
2ce0 20 53 6e 69 6a 64 65 72 73 2c 20 54 2e 20 28 32 30 31 32 29 2e 20 22 54 72 61 6e 73 69 74 69 76 .Snijders,.T..(2012).."Transitiv
2d00 69 74 79 20 61 6e 64 20 74 72 69 61 64 73 2e 22 20 55 6e 69 76 65 72 73 69 74 79 20 6f 66 0a 20 ity.and.triads.".University.of..
2d20 20 20 20 20 20 20 20 4f 78 66 6f 72 64 2e 0a 20 20 20 20 20 20 20 20 68 74 74 70 73 3a 2f 2f 77 .......Oxford..........https://w
2d40 65 62 2e 61 72 63 68 69 76 65 2e 6f 72 67 2f 77 65 62 2f 32 30 31 37 30 38 33 30 30 33 32 30 35 eb.archive.org/web/2017083003205
2d60 37 2f 68 74 74 70 3a 2f 2f 77 77 77 2e 73 74 61 74 73 2e 6f 78 2e 61 63 2e 75 6b 2f 7e 73 6e 69 7/http://www.stats.ox.ac.uk/~sni
2d80 6a 64 65 72 73 2f 54 72 61 6e 73 5f 54 72 69 61 64 73 5f 68 61 2e 70 64 66 0a 20 20 20 20 29 05 jders/Trans_Triads_ha.pdf.....).
2da0 72 0a 00 00 00 72 03 00 00 00 da 04 6c 69 73 74 72 0c 00 00 00 da 06 61 70 70 65 6e 64 29 05 72 r....r......listr......append).r
2dc0 36 00 00 00 da 07 61 6c 6c 5f 74 72 69 da 0b 74 72 69 5f 62 79 5f 74 79 70 65 da 05 74 72 69 61 6.....all_tri..tri_by_type..tria
2de0 64 da 04 6e 61 6d 65 73 05 00 00 00 20 20 20 20 20 72 37 00 00 00 72 0b 00 00 00 72 0b 00 00 00 d..names.........r7...r....r....
2e00 56 01 00 00 73 4c 00 00 00 80 00 f4 6e 01 00 0f 19 98 11 8b 6d 80 47 dc 12 1d 9c 64 d3 12 23 80 V...sL......n.......m.G....d..#.
2e20 4b d8 11 18 f2 00 02 05 28 88 05 dc 0f 19 98 25 d3 0f 20 88 04 d8 08 13 90 44 d1 08 19 d7 08 20 K.......(......%.........D......
2e40 d1 08 20 a0 15 d5 08 27 f0 05 02 05 28 f0 06 00 0c 17 d0 04 16 72 3d 00 00 00 63 01 00 00 00 00 .......'....(........r=...c.....
2e60 00 00 00 00 00 00 00 07 00 00 00 03 00 00 00 f3 88 04 00 00 97 00 74 01 00 00 00 00 00 00 00 00 ......................t.........
2e80 7c 00 ab 01 00 00 00 00 00 00 73 15 74 03 00 00 00 00 00 00 00 00 6a 04 00 00 00 00 00 00 00 00 |.........s.t.........j.........
2ea0 00 00 00 00 00 00 00 00 00 00 64 01 ab 01 00 00 00 00 00 00 82 01 74 07 00 00 00 00 00 00 00 00 ..........d...........t.........
2ec0 7c 00 6a 09 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 ab 01 |.j.............................
2ee0 00 00 00 00 00 00 7d 01 7c 01 64 02 6b 28 00 00 72 01 79 03 7c 01 64 04 6b 28 00 00 72 01 79 05 ......}.|.d.k(..r.y.|.d.k(..r.y.
2f00 7c 01 64 06 6b 28 00 00 72 5b 7c 00 6a 09 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 |.d.k(..r[|.j...................
2f20 ab 00 00 00 00 00 00 00 5c 02 00 00 7d 02 7d 03 74 0b 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 ........\...}.}.t.........|.....
2f40 00 00 00 00 74 0b 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 6b 28 00 00 72 01 79 07 ....t.........|.........k(..r.y.
2f60 7c 02 64 02 19 00 00 00 7c 03 64 02 19 00 00 00 6b 28 00 00 72 01 79 08 7c 02 64 04 19 00 00 00 |.d.....|.d.....k(..r.y.|.d.....
2f80 7c 03 64 04 19 00 00 00 6b 28 00 00 72 01 79 09 7c 02 64 04 19 00 00 00 7c 03 64 02 19 00 00 00 |.d.....k(..r.y.|.d.....|.d.....
2fa0 6b 28 00 00 73 0b 7c 03 64 04 19 00 00 00 7c 02 64 02 19 00 00 00 6b 28 00 00 72 01 79 0a 79 19 k(..s.|.d.....|.d.....k(..r.y.y.
2fc0 7c 01 64 0b 6b 28 00 00 72 b6 74 0d 00 00 00 00 00 00 00 00 7c 00 6a 09 00 00 00 00 00 00 00 00 |.d.k(..r.t.........|.j.........
2fe0 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 64 0b ab 02 00 00 00 00 00 00 44 00 5d 98 ..................d.........D.].
3000 00 00 5c 03 00 00 7d 02 7d 03 7d 04 74 0b 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 ..\...}.}.}.t.........|.........
3020 74 0b 00 00 00 00 00 00 00 00 7c 03 ab 01 00 00 00 00 00 00 6b 28 00 00 72 0b 7c 04 64 02 19 00 t.........|.........k(..r.|.d...
3040 00 00 7c 02 76 00 72 02 01 00 79 0c 01 00 79 0d 74 0b 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 ..|.v.r...y...y.t.........|.....
3060 00 00 00 00 6a 0f 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 ....j...................t.......
3080 00 00 7c 03 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 74 0b 00 00 00 00 00 00 00 00 7c 04 ..|.................t.........|.
30a0 ab 01 00 00 00 00 00 00 6b 28 00 00 73 01 8c 59 7c 02 64 02 19 00 00 00 7c 03 64 02 19 00 00 00 ........k(..s..Y|.d.....|.d.....
30c0 7c 04 64 02 19 00 00 00 68 03 7c 02 64 02 19 00 00 00 7c 03 64 02 19 00 00 00 7c 04 64 02 19 00 |.d.....h.|.d.....|.d.....|.d...
30e0 00 00 68 03 63 02 78 02 6b 28 00 00 72 1d 74 0b 00 00 00 00 00 00 00 00 7c 00 6a 11 00 00 00 00 ..h.c.x.k(..r.t.........|.j.....
3100 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 6b 28 ..............................k(
3120 00 00 72 05 01 00 79 0e 01 00 01 00 79 0f 01 00 79 0f 04 00 79 19 7c 01 64 10 6b 28 00 00 72 d1 ..r...y.....y...y...y.|.d.k(..r.
3140 74 0d 00 00 00 00 00 00 00 00 7c 00 6a 09 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 t.........|.j...................
3160 ab 00 00 00 00 00 00 00 64 10 ab 02 00 00 00 00 00 00 44 00 5d b3 00 00 5c 04 00 00 7d 02 7d 03 ........d.........D.]...\...}.}.
3180 7d 04 7d 05 74 0b 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 74 0b 00 00 00 00 00 00 }.}.t.........|.........t.......
31a0 00 00 7c 03 ab 01 00 00 00 00 00 00 6b 28 00 00 73 01 8c 20 74 0b 00 00 00 00 00 00 00 00 7c 04 ..|.........k(..s...t.........|.
31c0 ab 01 00 00 00 00 00 00 74 0b 00 00 00 00 00 00 00 00 7c 05 ab 01 00 00 00 00 00 00 6b 28 00 00 ........t.........|.........k(..
31e0 72 02 01 00 79 11 7c 04 64 02 19 00 00 00 68 01 7c 05 64 02 19 00 00 00 68 01 63 02 78 02 6b 28 r...y.|.d.....h.|.d.....h.c.x.k(
3200 00 00 72 27 74 0b 00 00 00 00 00 00 00 00 7c 04 ab 01 00 00 00 00 00 00 6a 13 00 00 00 00 00 00 ..r't.........|.........j.......
3220 00 00 00 00 00 00 00 00 00 00 00 00 74 0b 00 00 00 00 00 00 00 00 7c 05 ab 01 00 00 00 00 00 00 ............t.........|.........
3240 ab 01 00 00 00 00 00 00 6b 28 00 00 72 03 01 00 79 12 01 00 7c 04 64 04 19 00 00 00 68 01 7c 05 ........k(..r...y...|.d.....h.|.
3260 64 04 19 00 00 00 68 01 63 02 78 02 6b 28 00 00 72 27 74 0b 00 00 00 00 00 00 00 00 7c 04 ab 01 d.....h.c.x.k(..r't.........|...
3280 00 00 00 00 00 00 6a 13 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 74 0b 00 00 00 00 ......j...................t.....
32a0 00 00 00 00 7c 05 ab 01 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 6b 28 00 00 72 03 01 00 79 13 ....|.................k(..r...y.
32c0 01 00 7c 04 64 04 19 00 00 00 7c 05 64 02 19 00 00 00 6b 28 00 00 73 01 8c b3 01 00 79 14 04 00 ..|.d.....|.d.....k(..s.....y...
32e0 79 19 7c 01 64 15 6b 28 00 00 72 01 79 16 7c 01 64 17 6b 28 00 00 72 01 79 18 79 19 29 1a 61 f8 y.|.d.k(..r.y.|.d.k(..r.y.y.).a.
3300 05 00 00 52 65 74 75 72 6e 73 20 74 68 65 20 73 6f 63 69 6f 6c 6f 67 69 63 61 6c 20 74 72 69 61 ...Returns.the.sociological.tria
3320 64 20 74 79 70 65 20 66 6f 72 20 61 20 74 72 69 61 64 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 d.type.for.a.triad.......Paramet
3340 65 72 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 20 3a 20 64 69 67 72 61 ers.....----------.....G.:.digra
3360 70 68 0a 20 20 20 20 20 20 20 41 20 4e 65 74 77 6f 72 6b 58 20 44 69 47 72 61 70 68 20 77 69 74 ph........A.NetworkX.DiGraph.wit
3380 68 20 33 20 6e 6f 64 65 73 0a 0a 20 20 20 20 52 65 74 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d h.3.nodes......Returns.....-----
33a0 2d 2d 0a 20 20 20 20 74 72 69 61 64 5f 74 79 70 65 20 3a 20 73 74 72 0a 20 20 20 20 20 20 20 41 --.....triad_type.:.str........A
33c0 20 73 74 72 69 6e 67 20 69 64 65 6e 74 69 66 79 69 6e 67 20 74 68 65 20 74 72 69 61 64 20 74 79 .string.identifying.the.triad.ty
33e0 70 65 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 2d 2d 0a 20 20 pe......Examples.....--------...
3400 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 44 69 47 72 61 70 68 28 5b 28 31 2c 20 32 29 2c 20 28 32 ..>>>.G.=.nx.DiGraph([(1,.2),.(2
3420 2c 20 33 29 2c 20 28 33 2c 20 31 29 5d 29 0a 20 20 20 20 3e 3e 3e 20 6e 78 2e 74 72 69 61 64 5f ,.3),.(3,.1)]).....>>>.nx.triad_
3440 74 79 70 65 28 47 29 0a 20 20 20 20 27 30 33 30 43 27 0a 20 20 20 20 3e 3e 3e 20 47 2e 61 64 64 type(G).....'030C'.....>>>.G.add
3460 5f 65 64 67 65 28 31 2c 20 33 29 0a 20 20 20 20 3e 3e 3e 20 6e 78 2e 74 72 69 61 64 5f 74 79 70 _edge(1,.3).....>>>.nx.triad_typ
3480 65 28 47 29 0a 20 20 20 20 27 31 32 30 43 27 0a 0a 20 20 20 20 4e 6f 74 65 73 0a 20 20 20 20 2d e(G).....'120C'......Notes.....-
34a0 2d 2d 2d 2d 0a 20 20 20 20 54 68 65 72 65 20 63 61 6e 20 62 65 20 36 20 75 6e 69 71 75 65 20 65 ----.....There.can.be.6.unique.e
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34e0 29 20 28 73 6f 20 32 5e 5e 36 3d 36 34 20 75 6e 69 71 75 65 0a 20 20 20 20 74 72 69 61 64 73 20 ).(so.2^^6=64.unique.....triads.
3500 67 69 76 65 6e 20 33 20 6e 6f 64 65 73 29 2e 20 54 68 65 73 65 20 36 34 20 74 72 69 61 64 73 20 given.3.nodes)..These.64.triads.
3520 65 61 63 68 20 64 69 73 70 6c 61 79 20 65 78 61 63 74 6c 79 20 31 20 6f 66 20 31 36 0a 20 20 20 each.display.exactly.1.of.16....
3540 20 74 6f 70 6f 6c 6f 67 69 65 73 20 6f 66 20 74 72 69 61 64 73 20 28 74 6f 70 6f 6c 6f 67 69 65 .topologies.of.triads.(topologie
3560 73 20 63 61 6e 20 62 65 20 70 65 72 6d 75 74 65 64 29 2e 20 54 68 65 73 65 20 74 6f 70 6f 6c 6f s.can.be.permuted)..These.topolo
3580 67 69 65 73 20 61 72 65 0a 20 20 20 20 69 64 65 6e 74 69 66 69 65 64 20 62 79 20 74 68 65 20 66 gies.are.....identified.by.the.f
35a0 6f 6c 6c 6f 77 69 6e 67 20 6e 6f 74 61 74 69 6f 6e 3a 0a 0a 20 20 20 20 7b 6d 7d 7b 61 7d 7b 6e ollowing.notation:......{m}{a}{n
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35e0 20 31 30 32 29 0a 0a 20 20 20 20 48 65 72 65 3a 0a 0a 20 20 20 20 7b 6d 7d 20 20 20 20 20 3d 20 .102)......Here:......{m}.....=.
3600 6e 75 6d 62 65 72 20 6f 66 20 6d 75 74 75 61 6c 20 74 69 65 73 20 28 74 61 6b 65 73 20 30 2c 20 number.of.mutual.ties.(takes.0,.
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3680 28 74 61 6b 65 73 20 30 2c 20 31 2c 20 32 2c 20 33 29 3b 20 61 6e 20 61 73 79 6d 6d 65 74 72 69 (takes.0,.1,.2,.3);.an.asymmetri
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36e0 20 20 20 20 20 3d 20 6e 75 6d 62 65 72 20 6f 66 20 6e 75 6c 6c 20 74 69 65 73 20 28 74 61 6b 65 .....=.number.of.null.ties.(take
3700 73 20 30 2c 20 31 2c 20 32 2c 20 33 29 3b 20 61 20 6e 75 6c 6c 20 74 69 65 20 69 73 20 4e 45 49 s.0,.1,.2,.3);.a.null.tie.is.NEI
3720 54 48 45 52 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 28 30 2c 31 29 20 4e 4f 52 20 28 31 2c THER...............(0,1).NOR.(1,
3740 30 29 0a 20 20 20 20 7b 74 79 70 65 7d 20 20 3d 20 61 20 6c 65 74 74 65 72 20 28 74 61 6b 65 73 0).....{type}..=.a.letter.(takes
3760 20 55 2c 20 44 2c 20 43 2c 20 54 29 20 63 6f 72 72 65 73 70 6f 6e 64 69 6e 67 20 74 6f 20 75 70 .U,.D,.C,.T).corresponding.to.up
3780 2c 20 64 6f 77 6e 2c 20 63 79 63 6c 69 63 61 6c 0a 20 20 20 20 20 20 20 20 20 20 20 20 20 20 61 ,.down,.cyclical...............a
37a0 6e 64 20 74 72 61 6e 73 69 74 69 76 65 2e 20 54 68 69 73 20 69 73 20 6f 6e 6c 79 20 75 73 65 64 nd.transitive..This.is.only.used
37c0 20 66 6f 72 20 74 6f 70 6f 6c 6f 67 69 65 73 20 74 68 61 74 20 63 61 6e 20 68 61 76 65 0a 20 20 .for.topologies.that.can.have...
37e0 20 20 20 20 20 20 20 20 20 20 20 20 6d 6f 72 65 20 74 68 61 6e 20 6f 6e 65 20 66 6f 72 6d 20 28 ............more.than.one.form.(
3800 65 67 3a 20 30 32 31 44 20 61 6e 64 20 30 32 31 55 29 2e 0a 0a 20 20 20 20 52 65 66 65 72 65 6e eg:.021D.and.021U).......Referen
3820 63 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 2e 2e 20 5b 31 5d 20 53 6e ces.....----------........[1].Sn
3840 69 6a 64 65 72 73 2c 20 54 2e 20 28 32 30 31 32 29 2e 20 22 54 72 61 6e 73 69 74 69 76 69 74 79 ijders,.T..(2012).."Transitivity
3860 20 61 6e 64 20 74 72 69 61 64 73 2e 22 20 55 6e 69 76 65 72 73 69 74 79 20 6f 66 0a 20 20 20 20 .and.triads.".University.of.....
3880 20 20 20 20 4f 78 66 6f 72 64 2e 0a 20 20 20 20 20 20 20 20 68 74 74 70 73 3a 2f 2f 77 65 62 2e ....Oxford..........https://web.
38a0 61 72 63 68 69 76 65 2e 6f 72 67 2f 77 65 62 2f 32 30 31 37 30 38 33 30 30 33 32 30 35 37 2f 68 archive.org/web/20170830032057/h
38c0 74 74 70 3a 2f 2f 77 77 77 2e 73 74 61 74 73 2e 6f 78 2e 61 63 2e 75 6b 2f 7e 73 6e 69 6a 64 65 ttp://www.stats.ox.ac.uk/~snijde
38e0 72 73 2f 54 72 61 6e 73 5f 54 72 69 61 64 73 5f 68 61 2e 70 64 66 0a 20 20 20 20 7a 22 47 20 69 rs/Trans_Triads_ha.pdf.....z"G.i
3900 73 20 6e 6f 74 20 61 20 74 72 69 61 64 20 28 6f 72 64 65 72 2d 33 20 44 69 47 72 61 70 68 29 72 s.not.a.triad.(order-3.DiGraph)r
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3dc0 0f f2 06 09 01 35 f1 18 00 02 15 90 5c d3 01 22 d8 01 03 d7 01 11 d1 01 11 f2 02 53 02 01 12 f3 .....5......\.."...........S....
3de0 03 00 02 12 f3 03 00 02 23 f0 04 53 02 01 12 f0 6c 04 00 02 04 d7 01 11 d1 01 11 f1 02 1a 01 11 ........#..S....l...............
3e00 f3 03 00 02 12 f0 02 1a 01 11 f1 3a 00 02 15 90 5c d3 01 22 d8 01 11 80 12 d7 01 11 d1 01 11 a0 ...........:....\.."............
3e20 04 d4 01 25 f1 02 1a 01 29 f3 03 00 02 26 f3 03 00 02 23 f0 04 1a 01 29 f1 3a 00 02 15 90 5c d3 ...%....)....&....#....).:....\.
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3e60 7a 01 00 02 15 90 5c d3 01 22 d8 01 03 d7 01 11 d1 01 11 f1 02 5d 01 01 15 f3 03 00 02 12 f3 03 z.....\.."...........]..........
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