| ofs | hex dump | ascii |
|---|---|---|
| 0000 | cb 0d 0d 0a 00 00 00 00 85 fa a7 68 d1 1f 00 00 e3 00 00 00 00 00 00 00 00 00 00 00 00 03 00 00 | ...........h.................... |
| 0020 | 00 00 00 00 00 f3 4a 01 00 00 97 00 64 00 5a 00 64 01 64 02 6c 01 5a 01 64 01 64 03 6c 02 6d 03 | ......J.....d.Z.d.d.l.Z.d.d.l.m. |
| 0040 | 5a 03 6d 04 5a 04 01 00 64 01 64 04 6c 05 6d 06 5a 06 6d 07 5a 07 01 00 64 01 64 02 6c 08 5a 09 | Z.m.Z...d.d.l.m.Z.m.Z...d.d.l.Z. |
| 0060 | 67 00 64 05 a2 01 5a 0a 65 09 6a 16 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 0b | g.d...Z.e.j...................d. |
| 0080 | 64 06 84 01 ab 00 00 00 00 00 00 00 5a 0c 65 09 6a 16 00 00 00 00 00 00 00 00 00 00 00 00 00 00 | d...........Z.e.j............... |
| 00a0 | 00 00 00 00 64 07 84 00 ab 00 00 00 00 00 00 00 5a 0d 65 09 6a 1c 00 00 00 00 00 00 00 00 00 00 | ....d...........Z.e.j........... |
| 00c0 | 00 00 00 00 00 00 00 00 6a 1f 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 08 ab 01 | ........j...................d... |
| 00e0 | 00 00 00 00 00 00 65 09 6a 16 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 09 84 00 | ......e.j...................d... |
| 0100 | ab 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 5a 10 65 09 6a 1c 00 00 00 00 00 00 00 00 00 00 | ................Z.e.j........... |
| 0120 | 00 00 00 00 00 00 00 00 6a 1f 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 08 ab 01 | ........j...................d... |
| 0140 | 00 00 00 00 00 00 65 09 6a 16 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 0a 84 00 | ......e.j...................d... |
| 0160 | ab 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 5a 11 79 02 29 0c 7a 33 46 75 6e 63 74 69 6f 6e | ................Z.y.).z3Function |
| 0180 | 73 20 66 6f 72 20 63 6f 6d 70 75 74 69 6e 67 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 73 20 | s.for.computing.dominating.sets. |
| 01a0 | 69 6e 20 61 20 67 72 61 70 68 2e e9 00 00 00 00 4e 29 02 da 07 68 65 61 70 70 6f 70 da 08 68 65 | in.a.graph......N)...heappop..he |
| 01c0 | 61 70 70 75 73 68 29 02 da 05 63 68 61 69 6e da 05 63 6f 75 6e 74 29 04 da 0e 64 6f 6d 69 6e 61 | appush)...chain..count)...domina |
| 01e0 | 74 69 6e 67 5f 73 65 74 da 11 69 73 5f 64 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 da 18 63 6f 6e | ting_set..is_dominating_set..con |
| 0200 | 6e 65 63 74 65 64 5f 64 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 da 1b 69 73 5f 63 6f 6e 6e 65 63 | nected_dominating_set..is_connec |
| 0220 | 74 65 64 5f 64 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 63 02 00 00 00 00 00 00 00 00 00 00 00 05 | ted_dominating_setc............. |
| 0240 | 00 00 00 03 00 00 00 f3 4c 01 00 00 97 00 74 01 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 | ........L.....t.........|....... |
| 0260 | 00 00 7d 02 7c 01 80 1f 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............. |
| 0280 | 00 00 00 00 00 00 6a 07 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 | ......j...................|..... |
| 02a0 | 00 00 00 00 7d 01 7c 01 7c 00 76 01 72 19 74 03 00 00 00 00 00 00 00 00 6a 08 00 00 00 00 00 00 | ....}.|.|.v.r.t.........j....... |
| 02c0 | 00 00 00 00 00 00 00 00 00 00 00 00 64 01 7c 01 9b 00 64 02 9d 03 ab 01 00 00 00 00 00 00 82 01 | ............d.|...d............. |
| 02e0 | 7c 01 68 01 7d 03 74 01 00 00 00 00 00 00 00 00 7c 00 7c 01 19 00 00 00 ab 01 00 00 00 00 00 00 | |.h.}.t.........|.|............. |
| 0300 | 7d 04 7c 02 7c 04 7a 0a 00 00 7c 03 7a 0a 00 00 7d 05 7c 05 72 3f 7c 05 6a 0b 00 00 00 00 00 00 | }.|.|.z...|.z...}.|.r?|.j....... |
| 0320 | 00 00 00 00 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 7d 06 74 01 00 00 00 00 00 00 00 00 | ....................}.t......... |
| 0340 | 7c 00 7c 06 19 00 00 00 ab 01 00 00 00 00 00 00 7c 03 7a 0a 00 00 7d 07 7c 03 6a 0d 00 00 00 00 | |.|.............|.z...}.|.j..... |
| 0360 | 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 06 ab 01 00 00 00 00 00 00 01 00 7c 04 7c 07 7a 14 | ..............|...........|.|.z. |
| 0380 | 00 00 7d 04 7c 05 7c 07 7a 17 00 00 7d 05 7c 05 72 01 8c 3f 7c 03 53 00 29 03 61 5c 03 00 00 46 | ..}.|.|.z...}.|.r..?|.S.).a\...F |
| 03a0 | 69 6e 64 73 20 61 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 20 66 6f 72 20 74 68 65 20 67 72 | inds.a.dominating.set.for.the.gr |
| 03c0 | 61 70 68 20 47 2e 0a 0a 20 20 20 20 41 20 2a 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 2a 20 66 | aph.G.......A.*dominating.set*.f |
| 03e0 | 6f 72 20 61 20 67 72 61 70 68 20 77 69 74 68 20 6e 6f 64 65 20 73 65 74 20 2a 56 2a 20 69 73 20 | or.a.graph.with.node.set.*V*.is. |
| 0400 | 61 20 73 75 62 73 65 74 20 2a 44 2a 20 6f 66 0a 20 20 20 20 2a 56 2a 20 73 75 63 68 20 74 68 61 | a.subset.*D*.of.....*V*.such.tha |
| 0420 | 74 20 65 76 65 72 79 20 6e 6f 64 65 20 6e 6f 74 20 69 6e 20 2a 44 2a 20 69 73 20 61 64 6a 61 63 | t.every.node.not.in.*D*.is.adjac |
| 0440 | 65 6e 74 20 74 6f 20 61 74 20 6c 65 61 73 74 20 6f 6e 65 0a 20 20 20 20 6d 65 6d 62 65 72 20 6f | ent.to.at.least.one.....member.o |
| 0460 | 66 20 2a 44 2a 20 5b 31 5d 5f 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 | f.*D*.[1]_.......Parameters..... |
| 0480 | 2d 2d 2d 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 70 | ----------.....G.:.NetworkX.grap |
| 04a0 | 68 0a 0a 20 20 20 20 73 74 61 72 74 5f 77 69 74 68 20 3a 20 6e 6f 64 65 20 28 64 65 66 61 75 6c | h......start_with.:.node.(defaul |
| 04c0 | 74 3d 4e 6f 6e 65 29 0a 20 20 20 20 20 20 20 20 4e 6f 64 65 20 74 6f 20 75 73 65 20 61 73 20 61 | t=None).........Node.to.use.as.a |
| 04e0 | 20 73 74 61 72 74 69 6e 67 20 70 6f 69 6e 74 20 66 6f 72 20 74 68 65 20 61 6c 67 6f 72 69 74 68 | .starting.point.for.the.algorith |
| 0500 | 6d 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 | m.......Returns.....-------..... |
| 0520 | 44 20 3a 20 73 65 74 0a 20 20 20 20 20 20 20 20 41 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 | D.:.set.........A.dominating.set |
| 0540 | 20 66 6f 72 20 47 2e 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 | .for.G.......Notes.....-----.... |
| 0560 | 20 54 68 69 73 20 66 75 6e 63 74 69 6f 6e 20 69 73 20 61 6e 20 69 6d 70 6c 65 6d 65 6e 74 61 74 | .This.function.is.an.implementat |
| 0580 | 69 6f 6e 20 6f 66 20 61 6c 67 6f 72 69 74 68 6d 20 37 20 69 6e 20 5b 32 5d 5f 20 77 68 69 63 68 | ion.of.algorithm.7.in.[2]_.which |
| 05a0 | 0a 20 20 20 20 66 69 6e 64 73 20 73 6f 6d 65 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 2c 20 | .....finds.some.dominating.set,. |
| 05c0 | 6e 6f 74 20 6e 65 63 65 73 73 61 72 69 6c 79 20 74 68 65 20 73 6d 61 6c 6c 65 73 74 20 6f 6e 65 | not.necessarily.the.smallest.one |
| 05e0 | 2e 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 | .......See.also.....--------.... |
| 0600 | 20 69 73 5f 64 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 0a 0a 20 20 20 20 52 65 66 65 72 65 6e 63 | .is_dominating_set......Referenc |
| 0620 | 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 68 74 74 | es.....----------........[1].htt |
| 0640 | 70 73 3a 2f 2f 65 6e 2e 77 69 6b 69 70 65 64 69 61 2e 6f 72 67 2f 77 69 6b 69 2f 44 6f 6d 69 6e | ps://en.wikipedia.org/wiki/Domin |
| 0660 | 61 74 69 6e 67 5f 73 65 74 0a 0a 20 20 20 20 2e 2e 20 5b 32 5d 20 41 62 64 6f 6c 2d 48 6f 73 73 | ating_set.........[2].Abdol-Hoss |
| 0680 | 65 69 6e 20 45 73 66 61 68 61 6e 69 61 6e 2e 20 43 6f 6e 6e 65 63 74 69 76 69 74 79 20 41 6c 67 | ein.Esfahanian..Connectivity.Alg |
| 06a0 | 6f 72 69 74 68 6d 73 2e 0a 20 20 20 20 20 20 20 20 68 74 74 70 3a 2f 2f 77 77 77 2e 63 73 65 2e | orithms..........http://www.cse. |
| 06c0 | 6d 73 75 2e 65 64 75 2f 7e 63 73 65 38 33 35 2f 50 61 70 65 72 73 2f 47 72 61 70 68 5f 63 6f 6e | msu.edu/~cse835/Papers/Graph_con |
| 06e0 | 6e 65 63 74 69 76 69 74 79 5f 72 65 76 69 73 65 64 2e 70 64 66 0a 0a 20 20 20 20 7a 05 6e 6f 64 | nectivity_revised.pdf......z.nod |
| 0700 | 65 20 7a 0c 20 69 73 20 6e 6f 74 20 69 6e 20 47 29 07 da 03 73 65 74 da 02 6e 78 da 05 75 74 69 | e.z..is.not.in.G)...set..nx..uti |
| 0720 | 6c 73 da 11 61 72 62 69 74 72 61 72 79 5f 65 6c 65 6d 65 6e 74 da 0d 4e 65 74 77 6f 72 6b 58 45 | ls..arbitrary_element..NetworkXE |
| 0740 | 72 72 6f 72 da 03 70 6f 70 da 03 61 64 64 29 08 da 01 47 da 0a 73 74 61 72 74 5f 77 69 74 68 da | rror..pop..add)...G..start_with. |
| 0760 | 09 61 6c 6c 5f 6e 6f 64 65 73 72 07 00 00 00 da 0f 64 6f 6d 69 6e 61 74 65 64 5f 6e 6f 64 65 73 | .all_nodesr......dominated_nodes |
| 0780 | da 0f 72 65 6d 61 69 6e 69 6e 67 5f 6e 6f 64 65 73 da 01 76 da 10 75 6e 64 6f 6d 69 6e 61 74 65 | ..remaining_nodes..v..undominate |
| 07a0 | 64 5f 6e 62 72 73 73 08 00 00 00 20 20 20 20 20 20 20 20 fa 65 2f 68 6f 6d 65 2f 62 6c 61 63 6b | d_nbrss.............e/home/black |
| 07c0 | 68 61 6f 2f 75 69 75 63 2d 63 6f 75 72 73 65 2d 67 72 61 70 68 2f 2e 76 65 6e 76 2f 6c 69 62 2f | hao/uiuc-course-graph/.venv/lib/ |
| 07e0 | 70 79 74 68 6f 6e 33 2e 31 32 2f 73 69 74 65 2d 70 61 63 6b 61 67 65 73 2f 6e 65 74 77 6f 72 6b | python3.12/site-packages/network |
| 0800 | 78 2f 61 6c 67 6f 72 69 74 68 6d 73 2f 64 6f 6d 69 6e 61 74 69 6e 67 2e 70 79 72 07 00 00 00 72 | x/algorithms/dominating.pyr....r |
| 0820 | 07 00 00 00 11 00 00 00 73 c5 00 00 00 80 00 f4 4a 01 00 11 14 90 41 93 06 80 49 d8 07 11 d0 07 | ........s.......J.....A...I..... |
| 0840 | 19 dc 15 17 97 58 91 58 d7 15 2f d1 15 2f b0 09 d3 15 3a 88 0a d8 07 11 98 11 d1 07 1a dc 0e 10 | .....X.X../../....:............. |
| 0860 | d7 0e 1e d1 0e 1e a0 15 a0 7a a0 6c b0 2c d0 1f 3f d3 0e 40 d0 08 40 d8 16 20 90 5c 80 4e dc 16 | .........z.l.,..?..@..@....\.N.. |
| 0880 | 19 98 21 98 4a 99 2d d3 16 28 80 4f d8 16 1f a0 2f d1 16 31 b0 4e d1 16 42 80 4f d9 0a 19 e0 0c | ..!.J.-..(.O..../..1.N..B.O..... |
| 08a0 | 1b d7 0c 1f d1 0c 1f d3 0c 21 88 01 dc 1b 1e 98 71 a0 11 99 74 9b 39 a0 7e d1 1b 35 d0 08 18 f0 | .........!......q...t.9.~..5.... |
| 08c0 | 08 00 09 17 d7 08 1a d1 08 1a 98 31 d4 08 1d d8 08 17 d0 1b 2b d1 08 2b 88 0f d8 08 17 d0 1b 2b | ...........1........+..+.......+ |
| 08e0 | d1 08 2b 88 0f f2 13 00 0b 1a f0 14 00 0c 1a d0 04 19 f3 00 00 00 00 63 02 00 00 00 00 00 00 00 | ..+....................c........ |
| 0900 | 00 00 00 00 06 00 00 00 03 00 00 00 f3 be 00 00 00 87 00 97 00 7c 01 44 00 8f 02 63 02 68 00 63 | .....................|.D...c.h.c |
| 0920 | 02 5d 09 00 00 7d 02 7c 02 89 00 76 00 73 01 8c 08 7c 02 92 02 8c 0b 04 00 7d 03 7d 02 74 01 00 | .]...}.|...v.s...|.......}.}.t.. |
| 0940 | 00 00 00 00 00 00 00 74 03 00 00 00 00 00 00 00 00 6a 04 00 00 00 00 00 00 00 00 00 00 00 00 00 | .......t.........j.............. |
| 0960 | 00 00 00 00 00 88 00 66 01 64 01 84 08 7c 03 44 00 ab 00 00 00 00 00 00 00 ab 01 00 00 00 00 00 | .......f.d...|.D................ |
| 0980 | 00 ab 01 00 00 00 00 00 00 7d 04 74 07 00 00 00 00 00 00 00 00 74 01 00 00 00 00 00 00 00 00 89 | .........}.t.........t.......... |
| 09a0 | 00 ab 01 00 00 00 00 00 00 7c 03 7a 0a 00 00 7c 04 7a 0a 00 00 ab 01 00 00 00 00 00 00 64 02 6b | .........|.z...|.z...........d.k |
| 09c0 | 28 00 00 53 00 63 02 01 00 63 02 7d 02 77 00 29 03 61 50 02 00 00 43 68 65 63 6b 73 20 69 66 20 | (..S.c...c.}.w.).aP...Checks.if. |
| 09e0 | 60 6e 62 75 6e 63 68 60 20 69 73 20 61 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 20 66 6f 72 | `nbunch`.is.a.dominating.set.for |
| 0a00 | 20 60 47 60 2e 0a 0a 20 20 20 20 41 20 2a 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 2a 20 66 6f | .`G`.......A.*dominating.set*.fo |
| 0a20 | 72 20 61 20 67 72 61 70 68 20 77 69 74 68 20 6e 6f 64 65 20 73 65 74 20 2a 56 2a 20 69 73 20 61 | r.a.graph.with.node.set.*V*.is.a |
| 0a40 | 20 73 75 62 73 65 74 20 2a 44 2a 20 6f 66 0a 20 20 20 20 2a 56 2a 20 73 75 63 68 20 74 68 61 74 | .subset.*D*.of.....*V*.such.that |
| 0a60 | 20 65 76 65 72 79 20 6e 6f 64 65 20 6e 6f 74 20 69 6e 20 2a 44 2a 20 69 73 20 61 64 6a 61 63 65 | .every.node.not.in.*D*.is.adjace |
| 0a80 | 6e 74 20 74 6f 20 61 74 20 6c 65 61 73 74 20 6f 6e 65 0a 20 20 20 20 6d 65 6d 62 65 72 20 6f 66 | nt.to.at.least.one.....member.of |
| 0aa0 | 20 2a 44 2a 20 5b 31 5d 5f 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 2d | .*D*.[1]_.......Parameters.....- |
| 0ac0 | 2d 2d 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 70 68 | ---------.....G.:.NetworkX.graph |
| 0ae0 | 0a 0a 20 20 20 20 6e 62 75 6e 63 68 20 3a 20 69 74 65 72 61 62 6c 65 0a 20 20 20 20 20 20 20 20 | ......nbunch.:.iterable......... |
| 0b00 | 41 6e 20 69 74 65 72 61 62 6c 65 20 6f 66 20 6e 6f 64 65 73 20 69 6e 20 74 68 65 20 67 72 61 70 | An.iterable.of.nodes.in.the.grap |
| 0b20 | 68 20 60 47 60 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 | h.`G`.......Returns.....-------. |
| 0b40 | 20 20 20 20 64 6f 6d 69 6e 61 74 69 6e 67 20 3a 20 62 6f 6f 6c 0a 20 20 20 20 20 20 20 20 54 72 | ....dominating.:.bool.........Tr |
| 0b60 | 75 65 20 69 66 20 60 6e 62 75 6e 63 68 60 20 69 73 20 61 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 | ue.if.`nbunch`.is.a.dominating.s |
| 0b80 | 65 74 20 6f 66 20 60 47 60 2c 20 66 61 6c 73 65 20 6f 74 68 65 72 77 69 73 65 2e 0a 0a 20 20 20 | et.of.`G`,.false.otherwise...... |
| 0ba0 | 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 64 6f 6d 69 6e | .See.also.....--------.....domin |
| 0bc0 | 61 74 69 6e 67 5f 73 65 74 0a 0a 20 20 20 20 52 65 66 65 72 65 6e 63 65 73 0a 20 20 20 20 2d 2d | ating_set......References.....-- |
| 0be0 | 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 2e 2e 20 5b 31 5d 20 68 74 74 70 73 3a 2f 2f 65 6e 2e 77 | --------........[1].https://en.w |
| 0c00 | 69 6b 69 70 65 64 69 61 2e 6f 72 67 2f 77 69 6b 69 2f 44 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 | ikipedia.org/wiki/Dominating_set |
| 0c20 | 0a 0a 20 20 20 20 63 01 00 00 00 00 00 00 00 00 00 00 00 03 00 00 00 33 00 00 00 f3 28 00 00 00 | ......c................3....(... |
| 0c40 | 95 01 4b 00 01 00 97 00 7c 00 5d 09 00 00 7d 01 89 02 7c 01 19 00 00 00 96 01 97 01 01 00 8c 0b | ..K.....|.]...}...|............. |
| 0c60 | 04 00 79 00 ad 03 77 01 a9 01 4e a9 00 29 03 da 02 2e 30 da 01 6e 72 13 00 00 00 73 03 00 00 00 | ..y...w...N..)....0..nr....s.... |
| 0c80 | 20 20 80 72 1a 00 00 00 fa 09 3c 67 65 6e 65 78 70 72 3e 7a 24 69 73 5f 64 6f 6d 69 6e 61 74 69 | ...r......<genexpr>z$is_dominati |
| 0ca0 | 6e 67 5f 73 65 74 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 67 65 6e 65 78 70 72 3e 69 00 00 00 73 15 00 | ng_set.<locals>.<genexpr>i...s.. |
| 0cc0 | 00 00 f8 e8 00 f8 80 00 d2 22 39 a8 41 a0 31 a0 51 a5 34 d1 22 39 f9 73 04 00 00 00 83 0f 12 01 | ........."9.A.1.Q.4."9.s........ |
| 0ce0 | 72 02 00 00 00 29 04 72 0c 00 00 00 72 05 00 00 00 da 0d 66 72 6f 6d 5f 69 74 65 72 61 62 6c 65 | r....).r....r......from_iterable |
| 0d00 | da 03 6c 65 6e 29 05 72 13 00 00 00 da 06 6e 62 75 6e 63 68 72 21 00 00 00 da 07 74 65 73 74 73 | ..len).r......nbunchr!.....tests |
| 0d20 | 65 74 da 04 6e 62 72 73 73 05 00 00 00 60 20 20 20 20 72 1a 00 00 00 72 08 00 00 00 72 08 00 00 | et..nbrss....`....r....r....r... |
| 0d40 | 00 4b 00 00 00 73 5c 00 00 00 f8 80 00 f0 3a 00 1b 21 d6 0e 2b 90 51 a0 41 a8 11 a2 46 8a 71 d0 | .K...s\.......:..!..+.Q.A...F.q. |
| 0d60 | 0e 2b 80 47 d0 0e 2b dc 0b 0e 8c 75 d7 0f 22 d1 0f 22 d3 22 39 b0 17 d4 22 39 d3 0f 39 d3 0b 3a | .+.G..+....u..".."."9..."9..9..: |
| 0d80 | 80 44 dc 0b 0e 8c 73 90 31 8b 76 98 07 d1 0f 1f a0 24 d1 0f 26 d3 0b 27 a8 31 d1 0b 2c d0 04 2c | .D....s.1.v......$..&..'.1..,.., |
| 0da0 | f9 f2 05 00 0f 2c 73 0a 00 00 00 86 09 41 1a 04 90 04 41 1a 04 da 08 64 69 72 65 63 74 65 64 63 | .....,s......A....A....directedc |
| 0dc0 | 01 00 00 00 00 00 00 00 00 00 00 00 08 00 00 00 03 00 00 00 f3 fa 02 00 00 97 00 74 01 00 00 00 | ...........................t.... |
| 0de0 | 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 64 01 6b 28 00 00 72 0a 74 03 00 00 00 00 00 00 00 | .....|.........d.k(..r.t........ |
| 0e00 | 00 ab 00 00 00 00 00 00 00 53 00 74 05 00 00 00 00 00 00 00 00 6a 06 00 00 00 00 00 00 00 00 00 | .........S.t.........j.......... |
| 0e20 | 00 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 73 15 74 05 00 00 00 00 00 00 00 00 6a | .........|.........s.t.........j |
| 0e40 | 08 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 02 ab 01 00 00 00 00 00 00 82 01 74 | ...................d...........t |
| 0e60 | 01 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 64 03 6b 28 00 00 72 0b 74 03 00 00 00 | .........|.........d.k(..r.t.... |
| 0e80 | 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 53 00 7c 00 6a 0a 00 00 00 00 00 00 00 00 00 00 00 | .....|.........S.|.j............ |
| 0ea0 | 00 00 00 00 00 00 00 7d 01 74 0d 00 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 7d 02 74 0f 00 | .......}.t.................}.t.. |
| 0ec0 | 00 00 00 00 00 00 00 7c 00 6a 10 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 ab 01 00 | .......|.j...................... |
| 0ee0 | 00 00 00 00 00 7d 03 74 13 00 00 00 00 00 00 00 00 7c 03 6a 15 00 00 00 00 00 00 00 00 00 00 00 | .....}.t.........|.j............ |
| 0f00 | 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 64 04 84 00 ac 05 ab 02 00 00 00 00 00 00 5c 02 00 | ...............d.............\.. |
| 0f20 | 00 7d 04 7d 05 7c 01 7c 04 19 00 00 00 44 00 5d 0f 00 00 7d 06 7c 03 7c 06 78 02 78 02 19 00 00 | .}.}.|.|.....D.]...}.|.|.x.x.... |
| 0f40 | 00 64 03 7a 17 00 00 63 03 63 02 3c 00 00 00 8c 11 04 00 74 03 00 00 00 00 00 00 00 00 7c 00 ab | .d.z...c.c.<.......t.........|.. |
| 0f60 | 01 00 00 00 00 00 00 7c 04 68 01 7a 0a 00 00 7d 07 7c 05 0b 00 74 17 00 00 00 00 00 00 00 00 7c | .......|.h.z...}.|...t.........| |
| 0f80 | 02 ab 01 00 00 00 00 00 00 7c 04 66 03 67 01 7d 08 74 03 00 00 00 00 00 00 00 00 ab 00 00 00 00 | .........|.f.g.}.t.............. |
| 0fa0 | 00 00 00 7d 09 7c 07 72 93 74 19 00 00 00 00 00 00 00 00 7c 08 ab 01 00 00 00 00 00 00 5c 03 00 | ...}.|.r.t.........|.........\.. |
| 0fc0 | 00 7d 0a 7d 0b 7d 0c 7c 0a 0b 00 7c 03 7c 0c 19 00 00 00 6b 44 00 00 72 14 74 1b 00 00 00 00 00 | .}.}.}.|...|.|.....kD..r.t...... |
| 0fe0 | 00 00 00 7c 08 7c 03 7c 0c 19 00 00 00 0b 00 7c 0b 7c 0c 66 03 ab 02 00 00 00 00 00 00 01 00 8c | ...|.|.|.......|.|.f............ |
| 1000 | 2e 7c 01 7c 0c 19 00 00 00 44 00 5d 4b 00 00 7d 0d 7c 0d 7c 07 76 00 73 01 8c 08 7c 07 6a 1d 00 | .|.|.....D.]K..}.|.|.v.s...|.j.. |
| 1020 | 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 0d ab 01 00 00 00 00 00 00 01 00 7c 01 7c | .................|...........|.| |
| 1040 | 0d 19 00 00 00 44 00 5d 0f 00 00 7d 06 7c 03 7c 06 78 02 78 02 19 00 00 00 64 03 7a 17 00 00 63 | .....D.]...}.|.|.x.x.....d.z...c |
| 1060 | 03 63 02 3c 00 00 00 8c 11 04 00 74 1b 00 00 00 00 00 00 00 00 7c 08 7c 03 7c 0d 19 00 00 00 0b | .c.<.......t.........|.|.|...... |
| 1080 | 00 74 17 00 00 00 00 00 00 00 00 7c 02 ab 01 00 00 00 00 00 00 7c 0d 66 03 ab 02 00 00 00 00 00 | .t.........|.........|.f........ |
| 10a0 | 00 01 00 8c 4d 04 00 7c 09 6a 1f 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 0c ab | ....M..|.j...................|.. |
| 10c0 | 01 00 00 00 00 00 00 01 00 7c 07 72 01 8c 93 7c 09 53 00 29 06 61 22 0a 00 00 52 65 74 75 72 6e | .........|.r...|.S.).a"...Return |
| 10e0 | 73 20 61 20 63 6f 6e 6e 65 63 74 65 64 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 2e 0a 0a 20 | s.a.connected.dominating.set.... |
| 1100 | 20 20 20 41 20 2a 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 2a 20 66 6f 72 20 61 20 67 72 61 70 | ...A.*dominating.set*.for.a.grap |
| 1120 | 68 20 2a 47 2a 20 77 69 74 68 20 6e 6f 64 65 20 73 65 74 20 2a 56 2a 20 69 73 20 61 20 73 75 62 | h.*G*.with.node.set.*V*.is.a.sub |
| 1140 | 73 65 74 20 2a 44 2a 20 6f 66 20 2a 56 2a 0a 20 20 20 20 73 75 63 68 20 74 68 61 74 20 65 76 65 | set.*D*.of.*V*.....such.that.eve |
| 1160 | 72 79 20 6e 6f 64 65 20 6e 6f 74 20 69 6e 20 2a 44 2a 20 69 73 20 61 64 6a 61 63 65 6e 74 20 74 | ry.node.not.in.*D*.is.adjacent.t |
| 1180 | 6f 20 61 74 20 6c 65 61 73 74 20 6f 6e 65 20 6d 65 6d 62 65 72 20 6f 66 20 2a 44 2a 0a 20 20 20 | o.at.least.one.member.of.*D*.... |
| 11a0 | 20 5b 31 5d 5f 2e 20 41 20 2a 63 6f 6e 6e 65 63 74 65 64 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 | .[1]_..A.*connected.dominating.s |
| 11c0 | 65 74 2a 20 69 73 20 61 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 20 2a 43 2a 20 74 68 61 74 | et*.is.a.dominating.set.*C*.that |
| 11e0 | 20 69 6e 64 75 63 65 73 20 61 0a 20 20 20 20 63 6f 6e 6e 65 63 74 65 64 20 73 75 62 67 72 61 70 | .induces.a.....connected.subgrap |
| 1200 | 68 20 6f 66 20 2a 47 2a 20 5b 32 5d 5f 2e 0a 20 20 20 20 4e 6f 74 65 20 74 68 61 74 20 63 6f 6e | h.of.*G*.[2]_......Note.that.con |
| 1220 | 6e 65 63 74 65 64 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 73 20 61 72 65 20 6e 6f 74 20 75 | nected.dominating.sets.are.not.u |
| 1240 | 6e 69 71 75 65 20 69 6e 20 67 65 6e 65 72 61 6c 20 61 6e 64 20 74 68 61 74 20 74 68 65 72 65 0a | nique.in.general.and.that.there. |
| 1260 | 20 20 20 20 6d 61 79 20 62 65 20 6f 74 68 65 72 20 63 6f 6e 6e 65 63 74 65 64 20 64 6f 6d 69 6e | ....may.be.other.connected.domin |
| 1280 | 61 74 69 6e 67 20 73 65 74 73 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 | ating.sets.......Parameters..... |
| 12a0 | 2d 2d 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 47 20 3a 20 4e 65 77 74 6f 72 6b 58 20 67 72 61 70 | ----------.....G.:.NewtorkX.grap |
| 12c0 | 68 0a 20 20 20 20 20 20 20 20 55 6e 64 69 72 65 63 74 65 64 20 63 6f 6e 6e 65 63 74 65 64 20 67 | h.........Undirected.connected.g |
| 12e0 | 72 61 70 68 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 | raph.......Returns.....-------.. |
| 1300 | 20 20 20 63 6f 6e 6e 65 63 74 65 64 5f 64 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 20 3a 20 73 65 | ...connected_dominating_set.:.se |
| 1320 | 74 0a 20 20 20 20 20 20 20 20 41 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 20 6f 66 20 6e 6f | t.........A.dominating.set.of.no |
| 1340 | 64 65 73 20 77 68 69 63 68 20 69 6e 64 75 63 65 73 20 61 20 63 6f 6e 6e 65 63 74 65 64 20 73 75 | des.which.induces.a.connected.su |
| 1360 | 62 67 72 61 70 68 20 6f 66 20 47 2e 0a 0a 20 20 20 20 52 61 69 73 65 73 0a 20 20 20 20 2d 2d 2d | bgraph.of.G.......Raises.....--- |
| 1380 | 2d 2d 2d 0a 20 20 20 20 4e 65 74 77 6f 72 6b 58 4e 6f 74 49 6d 70 6c 65 6d 65 6e 74 65 64 0a 20 | ---.....NetworkXNotImplemented.. |
| 13a0 | 20 20 20 20 20 20 20 49 66 20 47 20 69 73 20 64 69 72 65 63 74 65 64 2e 0a 0a 20 20 20 20 4e 65 | .......If.G.is.directed.......Ne |
| 13c0 | 74 77 6f 72 6b 58 45 72 72 6f 72 0a 20 20 20 20 20 20 20 20 49 66 20 47 20 69 73 20 64 69 73 63 | tworkXError.........If.G.is.disc |
| 13e0 | 6f 6e 6e 65 63 74 65 64 2e 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 5f 5f 5f 5f | onnected.......Examples.....____ |
| 1400 | 5f 5f 5f 5f 0a 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 47 72 61 70 68 28 0a 20 20 20 20 2e | ____.....>>>.G.=.nx.Graph(...... |
| 1420 | 2e 2e 20 20 20 20 20 5b 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 20 28 31 2c 20 32 29 2c | .......[.................(1,.2), |
| 1440 | 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 20 28 31 2c 20 33 29 2c 0a 20 20 20 20 2e 2e 2e | .................(1,.3),........ |
| 1460 | 20 20 20 20 20 20 20 20 20 28 31 2c 20 34 29 2c 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 | .........(1,.4),................ |
| 1480 | 20 28 31 2c 20 35 29 2c 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 20 28 31 2c 20 36 29 2c | .(1,.5),.................(1,.6), |
| 14a0 | 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 20 28 32 2c 20 37 29 2c 0a 20 20 20 20 2e 2e 2e | .................(2,.7),........ |
| 14c0 | 20 20 20 20 20 20 20 20 20 28 33 2c 20 38 29 2c 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 | .........(3,.8),................ |
| 14e0 | 20 28 34 2c 20 39 29 2c 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 20 28 35 2c 20 31 30 29 | .(4,.9),.................(5,.10) |
| 1500 | 2c 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 20 28 36 2c 20 31 31 29 2c 0a 20 20 20 20 2e | ,.................(6,.11),...... |
| 1520 | 2e 2e 20 20 20 20 20 20 20 20 20 28 37 2c 20 31 32 29 2c 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 | ...........(7,.12),............. |
| 1540 | 20 20 20 20 28 38 2c 20 31 32 29 2c 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 20 28 39 2c | ....(8,.12),.................(9, |
| 1560 | 20 31 32 29 2c 0a 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 20 28 31 30 2c 20 31 32 29 2c 0a | .12),.................(10,.12),. |
| 1580 | 20 20 20 20 2e 2e 2e 20 20 20 20 20 20 20 20 20 28 31 31 2c 20 31 32 29 2c 0a 20 20 20 20 2e 2e | ................(11,.12),....... |
| 15a0 | 2e 20 20 20 20 20 5d 0a 20 20 20 20 2e 2e 2e 20 29 0a 20 20 20 20 3e 3e 3e 20 6e 78 2e 63 6f 6e | ......].........).....>>>.nx.con |
| 15c0 | 6e 65 63 74 65 64 5f 64 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 28 47 29 0a 20 20 20 20 7b 31 2c | nected_dominating_set(G).....{1, |
| 15e0 | 20 32 2c 20 33 2c 20 34 2c 20 35 2c 20 36 2c 20 37 7d 0a 0a 20 20 20 20 4e 6f 74 65 73 0a 20 20 | .2,.3,.4,.5,.6,.7}......Notes... |
| 1600 | 20 20 2d 2d 2d 2d 2d 0a 20 20 20 20 54 68 69 73 20 66 75 6e 63 74 69 6f 6e 20 69 6d 70 6c 65 6d | ..-----.....This.function.implem |
| 1620 | 65 6e 74 73 20 41 6c 67 6f 72 69 74 68 6d 20 49 20 69 6e 20 69 74 73 20 62 61 73 69 63 20 76 65 | ents.Algorithm.I.in.its.basic.ve |
| 1640 | 72 73 69 6f 6e 20 61 73 20 64 65 73 63 72 69 62 65 64 0a 20 20 20 20 69 6e 20 5b 33 5d 5f 2e 20 | rsion.as.described.....in.[3]_.. |
| 1660 | 54 68 65 20 69 64 65 61 20 62 65 68 69 6e 64 20 74 68 65 20 61 6c 67 6f 72 69 74 68 6d 20 69 73 | The.idea.behind.the.algorithm.is |
| 1680 | 20 74 68 65 20 66 6f 6c 6c 6f 77 69 6e 67 3a 20 67 72 6f 77 20 61 20 74 72 65 65 20 2a 54 2a 2c | .the.following:.grow.a.tree.*T*, |
| 16a0 | 0a 20 20 20 20 73 74 61 72 74 69 6e 67 20 66 72 6f 6d 20 61 20 6e 6f 64 65 20 77 69 74 68 20 6d | .....starting.from.a.node.with.m |
| 16c0 | 61 78 69 6d 75 6d 20 64 65 67 72 65 65 2e 20 54 68 72 6f 75 67 68 6f 75 74 20 74 68 65 20 67 72 | aximum.degree..Throughout.the.gr |
| 16e0 | 6f 77 69 6e 67 20 70 72 6f 63 65 73 73 2c 0a 20 20 20 20 6e 6f 6e 6c 65 61 66 20 6e 6f 64 65 73 | owing.process,.....nonleaf.nodes |
| 1700 | 20 69 6e 20 2a 54 2a 20 61 72 65 20 6f 75 72 20 63 6f 6e 6e 65 63 74 65 64 20 64 6f 6d 69 6e 61 | .in.*T*.are.our.connected.domina |
| 1720 | 74 69 6e 67 20 73 65 74 20 28 43 44 53 29 2c 20 6c 65 61 66 20 6e 6f 64 65 73 20 69 6e 0a 20 20 | ting.set.(CDS),.leaf.nodes.in... |
| 1740 | 20 20 2a 54 2a 20 61 72 65 20 6d 61 72 6b 65 64 20 61 73 20 22 73 65 65 6e 22 20 61 6e 64 20 6e | ..*T*.are.marked.as."seen".and.n |
| 1760 | 6f 64 65 73 20 69 6e 20 47 20 74 68 61 74 20 61 72 65 20 6e 6f 74 20 79 65 74 20 69 6e 20 2a 54 | odes.in.G.that.are.not.yet.in.*T |
| 1780 | 2a 20 61 72 65 20 6d 61 72 6b 65 64 20 61 73 0a 20 20 20 20 22 75 6e 73 65 65 6e 22 2e 20 57 65 | *.are.marked.as....."unseen"..We |
| 17a0 | 20 6d 61 69 6e 74 61 69 6e 20 61 20 6d 61 78 2d 68 65 61 70 20 6f 66 20 61 6c 6c 20 22 73 65 65 | .maintain.a.max-heap.of.all."see |
| 17c0 | 6e 22 20 6e 6f 64 65 73 2c 20 61 6e 64 20 74 72 61 63 6b 20 74 68 65 20 6e 75 6d 62 65 72 0a 20 | n".nodes,.and.track.the.number.. |
| 17e0 | 20 20 20 6f 66 20 22 75 6e 73 65 65 6e 22 20 6e 65 69 67 68 62 6f 72 73 20 66 6f 72 20 65 61 63 | ...of."unseen".neighbors.for.eac |
| 1800 | 68 20 6e 6f 64 65 2e 20 41 74 20 65 61 63 68 20 73 74 65 70 20 77 65 20 70 6f 70 20 74 68 65 20 | h.node..At.each.step.we.pop.the. |
| 1820 | 68 65 61 70 20 74 6f 70 20 2d 2d 20 61 0a 20 20 20 20 22 73 65 65 6e 22 20 28 6c 65 61 66 29 20 | heap.top.--.a....."seen".(leaf). |
| 1840 | 6e 6f 64 65 20 77 69 74 68 20 6d 61 78 69 6d 61 6c 20 6e 75 6d 62 65 72 20 6f 66 20 22 75 6e 73 | node.with.maximal.number.of."uns |
| 1860 | 65 65 6e 22 20 6e 65 69 67 68 62 6f 72 73 2c 20 61 64 64 20 69 74 20 74 6f 20 74 68 65 0a 20 20 | een".neighbors,.add.it.to.the... |
| 1880 | 20 20 43 44 53 20 61 6e 64 20 6d 61 72 6b 20 61 6c 6c 20 69 74 73 20 22 75 6e 73 65 65 6e 22 20 | ..CDS.and.mark.all.its."unseen". |
| 18a0 | 6e 65 69 67 68 62 6f 72 73 20 61 73 20 22 73 65 65 6e 22 2e 20 46 6f 72 20 65 61 63 68 20 6f 6e | neighbors.as."seen"..For.each.on |
| 18c0 | 65 20 6f 66 20 74 68 65 20 6e 65 77 6c 79 0a 20 20 20 20 63 72 65 61 74 65 64 20 22 73 65 65 6e | e.of.the.newly.....created."seen |
| 18e0 | 22 20 6e 6f 64 65 73 2c 20 77 65 20 61 6c 73 6f 20 64 65 63 72 65 6d 65 6e 74 20 74 68 65 20 6e | ".nodes,.we.also.decrement.the.n |
| 1900 | 75 6d 62 65 72 20 6f 66 20 22 75 6e 73 65 65 6e 22 20 6e 65 69 67 68 62 6f 72 73 20 66 6f 72 0a | umber.of."unseen".neighbors.for. |
| 1920 | 20 20 20 20 61 6c 6c 20 69 74 73 20 6e 65 69 67 68 62 6f 72 73 2e 20 54 68 65 20 61 6c 67 6f 72 | ....all.its.neighbors..The.algor |
| 1940 | 69 74 68 6d 20 74 65 72 6d 69 6e 61 74 65 73 20 77 68 65 6e 20 74 68 65 72 65 20 61 72 65 20 6e | ithm.terminates.when.there.are.n |
| 1960 | 6f 20 6d 6f 72 65 20 22 75 6e 73 65 65 6e 22 0a 20 20 20 20 6e 6f 64 65 73 2e 0a 20 20 20 20 52 | o.more."unseen".....nodes......R |
| 1980 | 75 6e 74 69 6d 65 20 63 6f 6d 70 6c 65 78 69 74 79 20 6f 66 20 74 68 69 73 20 69 6d 70 6c 65 6d | untime.complexity.of.this.implem |
| 19a0 | 65 6e 74 61 74 69 6f 6e 20 69 73 20 24 4f 28 7c 45 7c 2a 6c 6f 67 7c 56 7c 29 24 20 28 61 6d 6f | entation.is.$O(|E|*log|V|)$.(amo |
| 19c0 | 72 74 69 7a 65 64 29 2e 0a 0a 20 20 20 20 52 65 66 65 72 65 6e 63 65 73 0a 20 20 20 20 2d 2d 2d | rtized).......References.....--- |
| 19e0 | 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 2e 2e 20 5b 31 5d 20 68 74 74 70 73 3a 2f 2f 65 6e 2e 77 69 | -------........[1].https://en.wi |
| 1a00 | 6b 69 70 65 64 69 61 2e 6f 72 67 2f 77 69 6b 69 2f 44 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 0a | kipedia.org/wiki/Dominating_set. |
| 1a20 | 20 20 20 20 2e 2e 20 5b 32 5d 20 68 74 74 70 73 3a 2f 2f 65 6e 2e 77 69 6b 69 70 65 64 69 61 2e | .......[2].https://en.wikipedia. |
| 1a40 | 6f 72 67 2f 77 69 6b 69 2f 43 6f 6e 6e 65 63 74 65 64 5f 64 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 | org/wiki/Connected_dominating_se |
| 1a60 | 74 0a 20 20 20 20 2e 2e 20 5b 33 5d 20 47 75 68 61 2c 20 53 2e 20 61 6e 64 20 4b 68 75 6c 6c 65 | t........[3].Guha,.S..and.Khulle |
| 1a80 | 72 2c 20 53 2e 0a 20 20 20 20 20 20 20 20 20 20 20 2a 41 70 70 72 6f 78 69 6d 61 74 69 6f 6e 20 | r,.S.............*Approximation. |
| 1aa0 | 41 6c 67 6f 72 69 74 68 6d 73 20 66 6f 72 20 43 6f 6e 6e 65 63 74 65 64 20 44 6f 6d 69 6e 61 74 | Algorithms.for.Connected.Dominat |
| 1ac0 | 69 6e 67 20 53 65 74 73 2a 2c 0a 20 20 20 20 20 20 20 20 20 20 20 41 6c 67 6f 72 69 74 68 6d 69 | ing.Sets*,............Algorithmi |
| 1ae0 | 63 61 2c 20 32 30 2c 20 33 37 34 2d 33 38 37 2c 20 31 39 39 38 2e 0a 0a 20 20 20 20 72 02 00 00 | ca,.20,.374-387,.1998.......r... |
| 1b00 | 00 7a 1b 47 20 6d 75 73 74 20 62 65 20 61 20 63 6f 6e 6e 65 63 74 65 64 20 67 72 61 70 68 e9 01 | .z.G.must.be.a.connected.graph.. |
| 1b20 | 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 02 00 00 00 13 00 00 00 f3 0c 00 00 00 97 00 7c | ...c...........................| |
| 1b40 | 00 64 01 19 00 00 00 53 00 29 02 4e 72 2a 00 00 00 72 1f 00 00 00 29 01 da 01 78 73 01 00 00 00 | .d.....S.).Nr*...r....)...xs.... |
| 1b60 | 20 72 1a 00 00 00 fa 08 3c 6c 61 6d 62 64 61 3e 7a 2a 63 6f 6e 6e 65 63 74 65 64 5f 64 6f 6d 69 | .r......<lambda>z*connected_domi |
| 1b80 | 6e 61 74 69 6e 67 5f 73 65 74 2e 3c 6c 6f 63 61 6c 73 3e 2e 3c 6c 61 6d 62 64 61 3e ce 00 00 00 | nating_set.<locals>.<lambda>.... |
| 1ba0 | 73 0a 00 00 00 80 00 c0 71 c8 11 c1 74 80 00 72 1b 00 00 00 29 01 da 03 6b 65 79 29 10 72 24 00 | s.......q...t..r....)...key).r$. |
| 1bc0 | 00 00 72 0c 00 00 00 72 0d 00 00 00 da 0c 69 73 5f 63 6f 6e 6e 65 63 74 65 64 72 10 00 00 00 da | ..r....r......is_connectedr..... |
| 1be0 | 04 5f 61 64 6a 72 06 00 00 00 da 04 64 69 63 74 da 06 64 65 67 72 65 65 da 03 6d 61 78 da 05 69 | ._adjr......dict..degree..max..i |
| 1c00 | 74 65 6d 73 da 04 6e 65 78 74 72 03 00 00 00 72 04 00 00 00 da 06 72 65 6d 6f 76 65 72 12 00 00 | tems..nextr....r......remover... |
| 1c20 | 00 29 0e 72 13 00 00 00 da 06 47 5f 73 75 63 63 da 01 63 da 0d 75 6e 73 65 65 6e 5f 64 65 67 72 | .).r......G_succ..c..unseen_degr |
| 1c40 | 65 65 da 0c 6d 61 78 5f 64 65 67 5f 6e 6f 64 65 da 07 6d 61 78 5f 64 65 67 da 03 6e 62 72 da 06 | ee..max_deg_node..max_deg..nbr.. |
| 1c60 | 75 6e 73 65 65 6e da 04 73 65 65 6e 72 09 00 00 00 da 07 6e 65 67 5f 64 65 67 da 03 63 6e 74 da | unseen..seenr......neg_deg..cnt. |
| 1c80 | 01 75 72 18 00 00 00 73 0e 00 00 00 20 20 20 20 20 20 20 20 20 20 20 20 20 20 72 1a 00 00 00 72 | .ur....s..................r....r |
| 1ca0 | 09 00 00 00 72 09 00 00 00 6d 00 00 00 73 a0 01 00 00 80 00 f4 5e 02 00 08 0b 88 31 83 76 90 11 | ....r....m...s.......^.....1.v.. |
| 1cc0 | 82 7b dc 0f 12 8b 75 88 0c e4 0b 0d 8f 3f 89 3f 98 31 d4 0b 1d dc 0e 10 d7 0e 1e d1 0e 1e d0 1f | .{....u......?.?.1.............. |
| 1ce0 | 3c d3 0e 3d d0 08 3d e4 07 0a 88 31 83 76 90 11 82 7b dc 0f 12 90 31 8b 76 88 0d e0 0d 0e 8f 56 | <..=..=....1.v...{....1.v......V |
| 1d00 | 89 56 80 46 f4 06 00 09 0e 8b 07 80 41 f4 06 00 15 19 98 11 9f 18 99 18 93 4e 80 4d f4 06 00 1f | .V.F........A............N.M.... |
| 1d20 | 22 a0 2d d7 22 35 d1 22 35 d3 22 37 b9 5e d4 1e 4c d1 04 1b 80 5c 90 37 d8 0f 15 90 6c d1 0f 23 | ".-."5."5."7.^..L....\.7....l..# |
| 1d40 | f2 00 01 05 20 88 03 d8 08 15 90 63 d3 08 1a 98 61 d1 08 1f d4 08 1a f0 03 01 05 20 f4 08 00 0e | ...........c....a............... |
| 1d60 | 11 90 11 8b 56 90 7c 90 6e d1 0d 24 80 46 f0 08 00 0f 16 88 58 94 74 98 41 93 77 a0 0c d0 0c 2d | ....V.|.n..$.F......X.t.A.w....- |
| 1d80 | d0 0b 2e 80 44 e4 1f 22 9b 75 d0 04 1c f1 06 00 0b 11 dc 1c 23 a0 44 9b 4d d1 08 19 88 17 90 23 | ....D..".u..........#.D.M......# |
| 1da0 | 90 71 e0 0c 13 88 38 90 6d a0 41 d1 16 26 d2 0b 26 dc 0c 14 90 54 98 5d a8 31 d1 1d 2d d0 1c 2d | .q....8.m.A..&..&....T.].1..-..- |
| 1dc0 | a8 73 b0 41 d0 1b 36 d4 0c 37 d8 0c 14 e0 11 17 98 01 91 19 f2 00 05 09 40 01 88 41 d8 0f 10 90 | .s.A..6..7..............@..A.... |
| 1de0 | 46 8a 7b d8 10 16 97 0d 91 0d 98 61 d4 10 20 d8 1b 21 a0 21 99 39 f2 00 01 11 2c 90 43 d8 14 21 | F.{........a.....!.!.9....,.C..! |
| 1e00 | a0 23 d3 14 26 a8 21 d1 14 2b d4 14 26 f0 03 01 11 2c e4 10 18 98 14 a0 1d a8 71 d1 21 31 d0 20 | .#..&.!..+..&....,........q.!1.. |
| 1e20 | 31 b4 34 b8 01 b3 37 b8 41 d0 1f 3e d5 10 3f f0 0b 05 09 40 01 f0 0e 00 09 21 d7 08 24 d1 08 24 | 1.4...7.A..>..?....@.....!..$..$ |
| 1e40 | a0 51 d4 08 27 f2 1d 00 0b 11 f0 20 00 0c 24 d0 04 23 72 1b 00 00 00 63 02 00 00 00 00 00 00 00 | .Q..'.........$..#r....c........ |
| 1e60 | 00 00 00 00 06 00 00 00 03 00 00 00 f3 84 00 00 00 97 00 74 01 00 00 00 00 00 00 00 00 6a 02 00 | ...................t.........j.. |
| 1e80 | 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c 00 7c 01 ab 02 00 00 00 00 00 00 78 01 72 | .................|.|.........x.r |
| 1ea0 | 29 01 00 74 01 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.................. |
| 1ec0 | 00 74 01 00 00 00 00 00 00 00 00 6a 06 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 7c | .t.........j...................| |
| 1ee0 | 00 7c 01 ab 02 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 53 00 29 01 61 06 03 00 00 43 68 65 63 | .|.................S.).a....Chec |
| 1f00 | 6b 73 20 69 66 20 60 6e 62 75 6e 63 68 60 20 69 73 20 61 20 63 6f 6e 6e 65 63 74 65 64 20 64 6f | ks.if.`nbunch`.is.a.connected.do |
| 1f20 | 6d 69 6e 61 74 69 6e 67 20 73 65 74 20 66 6f 72 20 60 47 60 2e 0a 0a 20 20 20 20 41 20 2a 64 6f | minating.set.for.`G`.......A.*do |
| 1f40 | 6d 69 6e 61 74 69 6e 67 20 73 65 74 2a 20 66 6f 72 20 61 20 67 72 61 70 68 20 2a 47 2a 20 77 69 | minating.set*.for.a.graph.*G*.wi |
| 1f60 | 74 68 20 6e 6f 64 65 20 73 65 74 20 2a 56 2a 20 69 73 20 61 20 73 75 62 73 65 74 20 2a 44 2a 20 | th.node.set.*V*.is.a.subset.*D*. |
| 1f80 | 6f 66 0a 20 20 20 20 2a 56 2a 20 73 75 63 68 20 74 68 61 74 20 65 76 65 72 79 20 6e 6f 64 65 20 | of.....*V*.such.that.every.node. |
| 1fa0 | 6e 6f 74 20 69 6e 20 2a 44 2a 20 69 73 20 61 64 6a 61 63 65 6e 74 20 74 6f 20 61 74 20 6c 65 61 | not.in.*D*.is.adjacent.to.at.lea |
| 1fc0 | 73 74 20 6f 6e 65 0a 20 20 20 20 6d 65 6d 62 65 72 20 6f 66 20 2a 44 2a 20 5b 31 5d 5f 2e 20 41 | st.one.....member.of.*D*.[1]_..A |
| 1fe0 | 20 2a 63 6f 6e 6e 65 63 74 65 64 20 64 6f 6d 69 6e 61 74 69 6e 67 20 73 65 74 2a 20 69 73 20 61 | .*connected.dominating.set*.is.a |
| 2000 | 20 64 6f 6d 69 6e 61 74 69 6e 67 0a 20 20 20 20 73 65 74 20 2a 43 2a 20 74 68 61 74 20 69 6e 64 | .dominating.....set.*C*.that.ind |
| 2020 | 75 63 65 73 20 61 20 63 6f 6e 6e 65 63 74 65 64 20 73 75 62 67 72 61 70 68 20 6f 66 20 2a 47 2a | uces.a.connected.subgraph.of.*G* |
| 2040 | 20 5b 32 5d 5f 2e 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 | .[2]_.......Parameters.....----- |
| 2060 | 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 70 68 0a 20 20 20 | -----.....G.:.NetworkX.graph.... |
| 2080 | 20 20 20 20 20 55 6e 64 69 72 65 63 74 65 64 20 67 72 61 70 68 2e 0a 0a 20 20 20 20 6e 62 75 6e | .....Undirected.graph.......nbun |
| 20a0 | 63 68 20 3a 20 69 74 65 72 61 62 6c 65 0a 20 20 20 20 20 20 20 20 41 6e 20 69 74 65 72 61 62 6c | ch.:.iterable.........An.iterabl |
| 20c0 | 65 20 6f 66 20 6e 6f 64 65 73 20 69 6e 20 74 68 65 20 67 72 61 70 68 20 60 47 60 2e 0a 0a 20 20 | e.of.nodes.in.the.graph.`G`..... |
| 20e0 | 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 63 6f 6e 6e 65 63 | ..Returns.....-------.....connec |
| 2100 | 74 65 64 5f 64 6f 6d 69 6e 61 74 69 6e 67 20 3a 20 62 6f 6f 6c 0a 20 20 20 20 20 20 20 20 54 72 | ted_dominating.:.bool.........Tr |
| 2120 | 75 65 20 69 66 20 60 6e 62 75 6e 63 68 60 20 69 73 20 63 6f 6e 6e 65 63 74 65 64 20 64 6f 6d 69 | ue.if.`nbunch`.is.connected.domi |
| 2140 | 6e 61 74 69 6e 67 20 73 65 74 20 6f 66 20 60 47 60 2c 20 66 61 6c 73 65 20 6f 74 68 65 72 77 69 | nating.set.of.`G`,.false.otherwi |
| 2160 | 73 65 2e 0a 0a 20 20 20 20 52 65 66 65 72 65 6e 63 65 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 2d | se.......References.....-------- |
| 2180 | 2d 2d 0a 20 20 20 20 2e 2e 20 5b 31 5d 20 68 74 74 70 73 3a 2f 2f 65 6e 2e 77 69 6b 69 70 65 64 | --........[1].https://en.wikiped |
| 21a0 | 69 61 2e 6f 72 67 2f 77 69 6b 69 2f 44 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 0a 20 20 20 20 2e | ia.org/wiki/Dominating_set...... |
| 21c0 | 2e 20 5b 32 5d 20 68 74 74 70 73 3a 2f 2f 65 6e 2e 77 69 6b 69 70 65 64 69 61 2e 6f 72 67 2f 77 | ..[2].https://en.wikipedia.org/w |
| 21e0 | 69 6b 69 2f 43 6f 6e 6e 65 63 74 65 64 5f 64 6f 6d 69 6e 61 74 69 6e 67 5f 73 65 74 0a 0a 20 20 | iki/Connected_dominating_set.... |
| 2200 | 20 20 29 04 72 0d 00 00 00 72 08 00 00 00 72 2f 00 00 00 da 08 73 75 62 67 72 61 70 68 29 02 72 | ..).r....r....r/.....subgraph).r |
| 2220 | 13 00 00 00 72 25 00 00 00 73 02 00 00 00 20 20 72 1a 00 00 00 72 0a 00 00 00 72 0a 00 00 00 ef | ....r%...s......r....r....r..... |
| 2240 | 00 00 00 73 30 00 00 00 80 00 f4 3a 00 0c 0e d7 0b 1f d1 0b 1f a0 01 a0 36 d3 0b 2a d2 0b 56 ac | ...s0......:............6..*..V. |
| 2260 | 72 af 7f a9 7f bc 72 bf 7b b9 7b c8 31 c8 66 d3 3f 55 d3 2f 56 d0 04 56 72 1b 00 00 00 72 1e 00 | r.....r.{.{.1.f.?U./V..Vr....r.. |
| 2280 | 00 00 29 12 da 07 5f 5f 64 6f 63 5f 5f da 04 6d 61 74 68 da 05 68 65 61 70 71 72 03 00 00 00 72 | ..)...__doc__..math..heapqr....r |
| 22a0 | 04 00 00 00 da 09 69 74 65 72 74 6f 6f 6c 73 72 05 00 00 00 72 06 00 00 00 da 08 6e 65 74 77 6f | ......itertoolsr....r......netwo |
| 22c0 | 72 6b 78 72 0d 00 00 00 da 07 5f 5f 61 6c 6c 5f 5f da 0d 5f 64 69 73 70 61 74 63 68 61 62 6c 65 | rkxr......__all__.._dispatchable |
| 22e0 | 72 07 00 00 00 72 08 00 00 00 72 0e 00 00 00 da 13 6e 6f 74 5f 69 6d 70 6c 65 6d 65 6e 74 65 64 | r....r....r......not_implemented |
| 2300 | 5f 66 6f 72 72 09 00 00 00 72 0a 00 00 00 72 1f 00 00 00 72 1b 00 00 00 72 1a 00 00 00 fa 08 3c | _forr....r....r....r....r......< |
| 2320 | 6d 6f 64 75 6c 65 3e 72 4c 00 00 00 01 00 00 00 73 b8 00 00 00 f0 03 01 01 01 d9 00 39 e3 00 0b | module>rL.......s...........9... |
| 2340 | df 00 23 df 00 22 e3 00 15 f2 04 05 0b 02 80 07 f0 10 00 02 04 d7 01 11 d1 01 11 f2 02 36 01 1a | ..#..".......................6.. |
| 2360 | f3 03 00 02 12 f0 02 36 01 1a f0 72 01 00 02 04 d7 01 11 d1 01 11 f1 02 1e 01 2d f3 03 00 02 12 | .......6...r..............-..... |
| 2380 | f0 02 1e 01 2d f0 42 01 00 02 04 87 18 81 18 d7 01 1d d1 01 1d 98 6a d3 01 29 d8 01 03 d7 01 11 | ....-.B...............j..)...... |
| 23a0 | d1 01 11 f1 02 7d 01 01 24 f3 03 00 02 12 f3 03 00 02 2a f0 04 7d 01 01 24 f0 40 04 00 02 04 87 | .....}..$.........*..}..$.@..... |
| 23c0 | 18 81 18 d7 01 1d d1 01 1d 98 6a d3 01 29 d8 01 03 d7 01 11 d1 01 11 f1 02 1b 01 57 01 f3 03 00 | ..........j..).............W.... |
| 23e0 | 02 12 f3 03 00 02 2a f1 04 1b 01 57 01 72 1b 00 00 00 | ......*....W.r.... |
 |
index : uiuc-course-graph.git | |
| Unnamed repository; edit this file 'description' to name the repository. | Ubuntu |
| summaryrefslogtreecommitdiff |
path: root/.venv/lib/python3.12/site-packages/networkx/algorithms/__pycache__/dominating.cpython-312.pyc
blob: 5633734a97d79e5fba7c5250996f8272fe891440 (plain)