| ofs | hex dump | ascii |
|---|
| 0000 | cb 0d 0d 0a 00 00 00 00 85 fa a7 68 7c 15 00 00 e3 00 00 00 00 00 00 00 00 00 00 00 00 04 00 00 | ...........h|................... |
| 0020 | 00 00 00 00 00 f3 14 01 00 00 97 00 64 00 5a 00 64 01 64 02 6c 01 5a 02 64 01 64 03 6c 03 6d 04 | ............d.Z.d.d.l.Z.d.d.l.m. |
| 0040 | 5a 04 01 00 64 04 64 05 67 02 5a 05 02 00 65 04 64 06 ab 01 00 00 00 00 00 00 02 00 65 04 64 07 | Z...d.d.g.Z...e.d...........e.d. |
| 0060 | ab 01 00 00 00 00 00 00 65 02 6a 0c 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 08 | ........e.j...................d. |
| 0080 | 84 00 ab 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 5a 07 02 00 65 04 | ..........................Z...e. |
| 00a0 | 64 06 ab 01 00 00 00 00 00 00 02 00 65 04 64 07 ab 01 00 00 00 00 00 00 65 02 6a 0c 00 00 00 00 | d...........e.d.........e.j..... |
| 00c0 | 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 09 84 00 ab 00 00 00 00 00 00 00 ab 00 00 00 00 00 | ..............d................. |
| 00e0 | 00 00 ab 00 00 00 00 00 00 00 5a 08 02 00 65 04 64 06 ab 01 00 00 00 00 00 00 02 00 65 04 64 07 | ..........Z...e.d...........e.d. |
| 0100 | ab 01 00 00 00 00 00 00 65 02 6a 0c 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 64 0a | ........e.j...................d. |
| 0120 | 84 00 ab 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 ab 00 00 00 00 00 00 00 5a 09 79 02 29 0b | ..........................Z.y.). |
| 0140 | 61 72 02 00 00 0a 41 6c 67 6f 72 69 74 68 6d 73 20 66 6f 72 20 61 73 74 65 72 6f 69 64 61 6c 20 | ar....Algorithms.for.asteroidal. |
| 0160 | 74 72 69 70 6c 65 73 20 61 6e 64 20 61 73 74 65 72 6f 69 64 61 6c 20 6e 75 6d 62 65 72 73 20 69 | triples.and.asteroidal.numbers.i |
| 0180 | 6e 20 67 72 61 70 68 73 2e 0a 0a 41 6e 20 61 73 74 65 72 6f 69 64 61 6c 20 74 72 69 70 6c 65 20 | n.graphs...An.asteroidal.triple. |
| 01a0 | 69 6e 20 61 20 67 72 61 70 68 20 47 20 69 73 20 61 20 73 65 74 20 6f 66 20 74 68 72 65 65 20 6e | in.a.graph.G.is.a.set.of.three.n |
| 01c0 | 6f 6e 2d 61 64 6a 61 63 65 6e 74 20 76 65 72 74 69 63 65 73 0a 75 2c 20 76 20 61 6e 64 20 77 20 | on-adjacent.vertices.u,.v.and.w. |
| 01e0 | 73 75 63 68 20 74 68 61 74 20 74 68 65 72 65 20 65 78 69 73 74 20 61 20 70 61 74 68 20 62 65 74 | such.that.there.exist.a.path.bet |
| 0200 | 77 65 65 6e 20 61 6e 79 20 74 77 6f 20 6f 66 20 74 68 65 6d 20 74 68 61 74 20 61 76 6f 69 64 73 | ween.any.two.of.them.that.avoids |
| 0220 | 0a 63 6c 6f 73 65 64 20 6e 65 69 67 68 62 6f 72 68 6f 6f 64 20 6f 66 20 74 68 65 20 74 68 69 72 | .closed.neighborhood.of.the.thir |
| 0240 | 64 2e 20 4d 6f 72 65 20 66 6f 72 6d 61 6c 6c 79 2c 20 76 5f 6a 2c 20 76 5f 6b 20 62 65 6c 6f 6e | d..More.formally,.v_j,.v_k.belon |
| 0260 | 67 73 20 74 6f 20 74 68 65 20 73 61 6d 65 0a 63 6f 6e 6e 65 63 74 65 64 20 63 6f 6d 70 6f 6e 65 | gs.to.the.same.connected.compone |
| 0280 | 6e 74 20 6f 66 20 47 20 2d 20 4e 5b 76 5f 69 5d 2c 20 77 68 65 72 65 20 4e 5b 76 5f 69 5d 20 64 | nt.of.G.-.N[v_i],.where.N[v_i].d |
| 02a0 | 65 6e 6f 74 65 73 20 74 68 65 20 63 6c 6f 73 65 64 20 6e 65 69 67 68 62 6f 72 68 6f 6f 64 0a 6f | enotes.the.closed.neighborhood.o |
| 02c0 | 66 20 76 5f 69 2e 20 41 20 67 72 61 70 68 20 77 68 69 63 68 20 64 6f 65 73 20 6e 6f 74 20 63 6f | f.v_i..A.graph.which.does.not.co |
| 02e0 | 6e 74 61 69 6e 20 61 6e 79 20 61 73 74 65 72 6f 69 64 61 6c 20 74 72 69 70 6c 65 73 20 69 73 20 | ntain.any.asteroidal.triples.is. |
| 0300 | 63 61 6c 6c 65 64 0a 61 6e 20 41 54 2d 66 72 65 65 20 67 72 61 70 68 2e 20 54 68 65 20 63 6c 61 | called.an.AT-free.graph..The.cla |
| 0320 | 73 73 20 6f 66 20 41 54 2d 66 72 65 65 20 67 72 61 70 68 73 20 69 73 20 61 20 67 72 61 70 68 20 | ss.of.AT-free.graphs.is.a.graph. |
| 0340 | 63 6c 61 73 73 20 66 6f 72 20 77 68 69 63 68 0a 6d 61 6e 79 20 4e 50 2d 63 6f 6d 70 6c 65 74 65 | class.for.which.many.NP-complete |
| 0360 | 20 70 72 6f 62 6c 65 6d 73 20 61 72 65 20 73 6f 6c 76 61 62 6c 65 20 69 6e 20 70 6f 6c 79 6e 6f | .problems.are.solvable.in.polyno |
| 0380 | 6d 69 61 6c 20 74 69 6d 65 2e 20 41 6d 6f 6e 67 73 74 20 74 68 65 6d 2c 0a 69 6e 64 65 70 65 6e | mial.time..Amongst.them,.indepen |
| 03a0 | 64 65 6e 74 20 73 65 74 20 61 6e 64 20 63 6f 6c 6f 72 69 6e 67 2e 0a e9 00 00 00 00 4e 29 01 da | dent.set.and.coloring.......N).. |
| 03c0 | 13 6e 6f 74 5f 69 6d 70 6c 65 6d 65 6e 74 65 64 5f 66 6f 72 da 0a 69 73 5f 61 74 5f 66 72 65 65 | .not_implemented_for..is_at_free |
| 03e0 | da 16 66 69 6e 64 5f 61 73 74 65 72 6f 69 64 61 6c 5f 74 72 69 70 6c 65 da 08 64 69 72 65 63 74 | ..find_asteroidal_triple..direct |
| 0400 | 65 64 da 0a 6d 75 6c 74 69 67 72 61 70 68 63 01 00 00 00 00 00 00 00 00 00 00 00 05 00 00 00 03 | ed..multigraphc................. |
| 0420 | 00 00 00 f3 c6 01 00 00 97 00 74 01 00 00 00 00 00 00 00 00 7c 00 6a 02 00 00 00 00 00 00 00 00 | ..........t.........|.j......... |
| 0440 | 00 00 00 00 00 00 00 00 00 00 ab 01 00 00 00 00 00 00 7d 01 74 05 00 00 00 00 00 00 00 00 7c 01 | ..................}.t.........|. |
| 0460 | ab 01 00 00 00 00 00 00 64 01 6b 02 00 00 72 01 79 02 74 07 00 00 00 00 00 00 00 00 7c 00 ab 01 | ........d.k...r.y.t.........|... |
| 0480 | 00 00 00 00 00 00 7d 02 74 09 00 00 00 00 00 00 00 00 6a 0a 00 00 00 00 00 00 00 00 00 00 00 00 | ......}.t.........j............. |
| 04a0 | 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 44 00 5d 9a 00 00 5c 02 00 00 7d 03 7d 04 74 01 | ......|.........D.]...\...}.}.t. |
| 04c0 | 00 00 00 00 00 00 00 00 7c 00 7c 03 19 00 00 00 ab 01 00 00 00 00 00 00 6a 0d 00 00 00 00 00 00 | ........|.|.............j....... |
| 04e0 | 00 00 00 00 00 00 00 00 00 00 00 00 7c 03 67 01 ab 01 00 00 00 00 00 00 7d 05 74 01 00 00 00 00 | ............|.g.........}.t..... |
| 0500 | 00 00 00 00 7c 00 7c 04 19 00 00 00 ab 01 00 00 00 00 00 00 6a 0d 00 00 00 00 00 00 00 00 00 00 | ....|.|.............j........... |
| 0520 | 00 00 00 00 00 00 00 00 7c 04 67 01 ab 01 00 00 00 00 00 00 7d 06 7c 05 6a 0d 00 00 00 00 00 00 | ........|.g.........}.|.j....... |
| 0540 | 00 00 00 00 00 00 00 00 00 00 00 00 7c 06 ab 01 00 00 00 00 00 00 7d 07 7c 01 7c 07 7a 0a 00 00 | ............|.........}.|.|.z... |
| 0560 | 44 00 5d 40 00 00 7d 08 7c 02 7c 03 19 00 00 00 7c 04 19 00 00 00 7c 02 7c 03 19 00 00 00 7c 08 | D.]@..}.|.|.....|.....|.|.....|. |
| 0580 | 19 00 00 00 6b 28 00 00 73 01 8c 15 7c 02 7c 04 19 00 00 00 7c 03 19 00 00 00 7c 02 7c 04 19 00 | ....k(..s...|.|.....|.....|.|... |
| 05a0 | 00 00 7c 08 19 00 00 00 6b 28 00 00 73 01 8c 27 7c 02 7c 08 19 00 00 00 7c 03 19 00 00 00 7c 02 | ..|.....k(..s..'|.|.....|.....|. |
| 05c0 | 7c 08 19 00 00 00 7c 04 19 00 00 00 6b 28 00 00 73 01 8c 39 7c 03 7c 04 7c 08 67 03 63 02 01 00 | |.....|.....k(..s..9|.|.|.g.c... |
| 05e0 | 63 02 01 00 53 00 04 00 8c 9c 04 00 79 02 29 03 75 f6 05 00 00 46 69 6e 64 20 61 6e 20 61 73 74 | c...S.......y.).u....Find.an.ast |
| 0600 | 65 72 6f 69 64 61 6c 20 74 72 69 70 6c 65 20 69 6e 20 74 68 65 20 67 69 76 65 6e 20 67 72 61 70 | eroidal.triple.in.the.given.grap |
| 0620 | 68 2e 0a 0a 20 20 20 20 41 6e 20 61 73 74 65 72 6f 69 64 61 6c 20 74 72 69 70 6c 65 20 69 73 20 | h.......An.asteroidal.triple.is. |
| 0640 | 61 20 74 72 69 70 6c 65 20 6f 66 20 6e 6f 6e 2d 61 64 6a 61 63 65 6e 74 20 76 65 72 74 69 63 65 | a.triple.of.non-adjacent.vertice |
| 0660 | 73 20 73 75 63 68 20 74 68 61 74 0a 20 20 20 20 74 68 65 72 65 20 65 78 69 73 74 73 20 61 20 70 | s.such.that.....there.exists.a.p |
| 0680 | 61 74 68 20 62 65 74 77 65 65 6e 20 61 6e 79 20 74 77 6f 20 6f 66 20 74 68 65 6d 20 77 68 69 63 | ath.between.any.two.of.them.whic |
| 06a0 | 68 20 61 76 6f 69 64 73 20 74 68 65 20 63 6c 6f 73 65 64 0a 20 20 20 20 6e 65 69 67 68 62 6f 72 | h.avoids.the.closed.....neighbor |
| 06c0 | 68 6f 6f 64 20 6f 66 20 74 68 65 20 74 68 69 72 64 2e 20 49 74 20 63 68 65 63 6b 73 20 61 6c 6c | hood.of.the.third..It.checks.all |
| 06e0 | 20 69 6e 64 65 70 65 6e 64 65 6e 74 20 74 72 69 70 6c 65 73 20 6f 66 20 76 65 72 74 69 63 65 73 | .independent.triples.of.vertices |
| 0700 | 0a 20 20 20 20 61 6e 64 20 77 68 65 74 68 65 72 20 74 68 65 79 20 61 72 65 20 61 6e 20 61 73 74 | .....and.whether.they.are.an.ast |
| 0720 | 65 72 6f 69 64 61 6c 20 74 72 69 70 6c 65 20 6f 72 20 6e 6f 74 2e 20 54 68 69 73 20 69 73 20 64 | eroidal.triple.or.not..This.is.d |
| 0740 | 6f 6e 65 20 77 69 74 68 20 74 68 65 0a 20 20 20 20 68 65 6c 70 20 6f 66 20 61 20 64 61 74 61 20 | one.with.the.....help.of.a.data. |
| 0760 | 73 74 72 75 63 74 75 72 65 20 63 61 6c 6c 65 64 20 61 20 63 6f 6d 70 6f 6e 65 6e 74 20 73 74 72 | structure.called.a.component.str |
| 0780 | 75 63 74 75 72 65 2e 0a 20 20 20 20 41 20 63 6f 6d 70 6f 6e 65 6e 74 20 73 74 72 75 63 74 75 72 | ucture......A.component.structur |
| 07a0 | 65 20 65 6e 63 6f 64 65 73 20 69 6e 66 6f 72 6d 61 74 69 6f 6e 20 61 62 6f 75 74 20 77 68 69 63 | e.encodes.information.about.whic |
| 07c0 | 68 20 76 65 72 74 69 63 65 73 20 62 65 6c 6f 6e 67 73 20 74 6f 0a 20 20 20 20 74 68 65 20 73 61 | h.vertices.belongs.to.....the.sa |
| 07e0 | 6d 65 20 63 6f 6e 6e 65 63 74 65 64 20 63 6f 6d 70 6f 6e 65 6e 74 20 77 68 65 6e 20 74 68 65 20 | me.connected.component.when.the. |
| 0800 | 63 6c 6f 73 65 64 20 6e 65 69 67 68 62 6f 72 68 6f 6f 64 20 6f 66 20 61 20 67 69 76 65 6e 20 76 | closed.neighborhood.of.a.given.v |
| 0820 | 65 72 74 65 78 0a 20 20 20 20 69 73 20 72 65 6d 6f 76 65 64 20 66 72 6f 6d 20 74 68 65 20 67 72 | ertex.....is.removed.from.the.gr |
| 0840 | 61 70 68 2e 20 54 68 65 20 61 6c 67 6f 72 69 74 68 6d 20 75 73 65 64 20 74 6f 20 63 68 65 63 6b | aph..The.algorithm.used.to.check |
| 0860 | 20 69 73 20 74 68 65 20 74 72 69 76 69 61 6c 0a 20 20 20 20 6f 6e 65 2c 20 6f 75 74 6c 69 6e 65 | .is.the.trivial.....one,.outline |
| 0880 | 64 20 69 6e 20 5b 31 5d 5f 2c 20 77 68 69 63 68 20 68 61 73 20 61 20 72 75 6e 74 69 6d 65 20 6f | d.in.[1]_,.which.has.a.runtime.o |
| 08a0 | 66 0a 20 20 20 20 3a 6d 61 74 68 3a 60 4f 28 7c 56 7c 7c 5c 6f 76 65 72 6c 69 6e 65 7b 45 7d 20 | f.....:math:`O(|V||\overline{E}. |
| 08c0 | 2b 20 7c 56 7c 7c 45 7c 29 60 2c 20 77 68 65 72 65 20 74 68 65 20 73 65 63 6f 6e 64 20 74 65 72 | +.|V||E|)`,.where.the.second.ter |
| 08e0 | 6d 20 69 73 20 74 68 65 0a 20 20 20 20 63 72 65 61 74 69 6f 6e 20 6f 66 20 74 68 65 20 63 6f 6d | m.is.the.....creation.of.the.com |
| 0900 | 70 6f 6e 65 6e 74 20 73 74 72 75 63 74 75 72 65 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 | ponent.structure.......Parameter |
| 0920 | 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 4e 65 74 77 6f 72 6b | s.....----------.....G.:.Network |
| 0940 | 58 20 47 72 61 70 68 0a 20 20 20 20 20 20 20 20 54 68 65 20 67 72 61 70 68 20 74 6f 20 63 68 65 | X.Graph.........The.graph.to.che |
| 0960 | 63 6b 20 77 68 65 74 68 65 72 20 69 73 20 41 54 2d 66 72 65 65 20 6f 72 20 6e 6f 74 0a 0a 20 20 | ck.whether.is.AT-free.or.not.... |
| 0980 | 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 6c 69 73 74 20 6f | ..Returns.....-------.....list.o |
| 09a0 | 72 20 4e 6f 6e 65 0a 20 20 20 20 20 20 20 20 41 6e 20 61 73 74 65 72 6f 69 64 61 6c 20 74 72 69 | r.None.........An.asteroidal.tri |
| 09c0 | 70 6c 65 20 69 73 20 72 65 74 75 72 6e 65 64 20 61 73 20 61 20 6c 69 73 74 20 6f 66 20 6e 6f 64 | ple.is.returned.as.a.list.of.nod |
| 09e0 | 65 73 2e 20 49 66 20 6e 6f 20 61 73 74 65 72 6f 69 64 61 6c 0a 20 20 20 20 20 20 20 20 74 72 69 | es..If.no.asteroidal.........tri |
| 0a00 | 70 6c 65 20 65 78 69 73 74 73 2c 20 69 2e 65 2e 20 74 68 65 20 67 72 61 70 68 20 69 73 20 41 54 | ple.exists,.i.e..the.graph.is.AT |
| 0a20 | 2d 66 72 65 65 2c 20 74 68 65 6e 20 4e 6f 6e 65 20 69 73 20 72 65 74 75 72 6e 65 64 2e 0a 0a 20 | -free,.then.None.is.returned.... |
| 0a40 | 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 63 6f 6d 70 6f | ...Notes.....-----.....The.compo |
| 0a60 | 6e 65 6e 74 20 73 74 72 75 63 74 75 72 65 20 61 6e 64 20 74 68 65 20 61 6c 67 6f 72 69 74 68 6d | nent.structure.and.the.algorithm |
| 0a80 | 20 69 73 20 64 65 73 63 72 69 62 65 64 20 69 6e 20 5b 31 5d 5f 2e 20 54 68 65 20 63 75 72 72 65 | .is.described.in.[1]_..The.curre |
| 0aa0 | 6e 74 0a 20 20 20 20 69 6d 70 6c 65 6d 65 6e 74 61 74 69 6f 6e 20 69 6d 70 6c 65 6d 65 6e 74 73 | nt.....implementation.implements |
| 0ac0 | 20 74 68 65 20 74 72 69 76 69 61 6c 20 61 6c 67 6f 72 69 74 68 6d 20 66 6f 72 20 73 69 6d 70 6c | .the.trivial.algorithm.for.simpl |
| 0ae0 | 65 20 67 72 61 70 68 73 2e 0a 0a 20 20 20 20 52 65 66 65 72 65 6e 63 65 73 0a 20 20 20 20 2d 2d | e.graphs.......References.....-- |
| 0b00 | 2d 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 2e 2e 20 5b 31 5d 20 45 6b 6b 65 68 61 72 64 20 4b c3 b6 | --------........[1].Ekkehard.K.. |
| 0b20 | 68 6c 65 72 2c 0a 20 20 20 20 20 20 20 22 52 65 63 6f 67 6e 69 7a 69 6e 67 20 47 72 61 70 68 73 | hler,........"Recognizing.Graphs |
| 0b40 | 20 77 69 74 68 6f 75 74 20 61 73 74 65 72 6f 69 64 61 6c 20 74 72 69 70 6c 65 73 22 2c 0a 20 20 | .without.asteroidal.triples",... |
| 0b60 | 20 20 20 20 20 4a 6f 75 72 6e 61 6c 20 6f 66 20 44 69 73 63 72 65 74 65 20 41 6c 67 6f 72 69 74 | .....Journal.of.Discrete.Algorit |
| 0b80 | 68 6d 73 20 32 2c 20 70 61 67 65 73 20 34 33 39 2d 34 35 32 2c 20 32 30 30 34 2e 0a 20 20 20 20 | hms.2,.pages.439-452,.2004...... |
| 0ba0 | 20 20 20 68 74 74 70 73 3a 2f 2f 77 77 77 2e 73 63 69 65 6e 63 65 64 69 72 65 63 74 2e 63 6f 6d | ...https://www.sciencedirect.com |
| 0bc0 | 2f 73 63 69 65 6e 63 65 2f 61 72 74 69 63 6c 65 2f 70 69 69 2f 53 31 35 37 30 38 36 36 37 30 34 | /science/article/pii/S1570866704 |
| 0be0 | 30 30 30 31 39 58 0a 20 20 20 20 e9 06 00 00 00 4e 29 07 da 03 73 65 74 da 05 6e 6f 64 65 73 da | 00019X..........N)...set..nodes. |
| 0c00 | 03 6c 65 6e da 1a 63 72 65 61 74 65 5f 63 6f 6d 70 6f 6e 65 6e 74 5f 73 74 72 75 63 74 75 72 65 | .len..create_component_structure |
| 0c20 | da 02 6e 78 da 09 6e 6f 6e 5f 65 64 67 65 73 da 05 75 6e 69 6f 6e 29 09 da 01 47 da 01 56 da 13 | ..nx..non_edges..union)...G..V.. |
| 0c40 | 63 6f 6d 70 6f 6e 65 6e 74 5f 73 74 72 75 63 74 75 72 65 da 01 75 da 01 76 da 0e 75 5f 6e 65 69 | component_structure..u..v..u_nei |
| 0c60 | 67 68 62 6f 72 68 6f 6f 64 da 0e 76 5f 6e 65 69 67 68 62 6f 72 68 6f 6f 64 da 16 75 6e 69 6f 6e | ghborhood..v_neighborhood..union |
| 0c80 | 5f 6f 66 5f 6e 65 69 67 68 62 6f 72 68 6f 6f 64 73 da 01 77 73 09 00 00 00 20 20 20 20 20 20 20 | _of_neighborhoods..ws........... |
| 0ca0 | 20 20 fa 65 2f 68 6f 6d 65 2f 62 6c 61 63 6b 68 61 6f 2f 75 69 75 63 2d 63 6f 75 72 73 65 2d 67 | ...e/home/blackhao/uiuc-course-g |
| 0cc0 | 72 61 70 68 2f 2e 76 65 6e 76 2f 6c 69 62 2f 70 79 74 68 6f 6e 33 2e 31 32 2f 73 69 74 65 2d 70 | raph/.venv/lib/python3.12/site-p |
| 0ce0 | 61 63 6b 61 67 65 73 2f 6e 65 74 77 6f 72 6b 78 2f 61 6c 67 6f 72 69 74 68 6d 73 2f 61 73 74 65 | ackages/networkx/algorithms/aste |
| 0d00 | 72 6f 69 64 61 6c 2e 70 79 72 05 00 00 00 72 05 00 00 00 14 00 00 00 73 06 01 00 00 80 00 f4 52 | roidal.pyr....r........s.......R |
| 0d20 | 01 00 09 0c 88 41 8f 47 89 47 8b 0c 80 41 e4 07 0a 88 31 83 76 90 01 82 7a e0 0f 13 e4 1a 34 b0 | .....A.G.G...A....1.v...z.....4. |
| 0d40 | 51 d3 1a 37 d0 04 17 e4 10 12 97 0c 91 0c 98 51 93 0f f2 00 0d 05 21 89 04 88 01 88 31 dc 19 1c | Q..7...........Q......!.....1... |
| 0d60 | 98 51 98 71 99 54 9b 19 9f 1f 99 1f a8 21 a8 13 d3 19 2d 88 0e dc 19 1c 98 51 98 71 99 54 9b 19 | .Q.q.T.......!....-......Q.q.T.. |
| 0d80 | 9f 1f 99 1f a8 21 a8 13 d3 19 2d 88 0e d8 21 2f d7 21 35 d1 21 35 b0 6e d3 21 45 d0 08 1e d8 11 | .....!....-...!/.!5.!5.n.!E..... |
| 0da0 | 12 d0 15 2b d1 11 2b f2 00 09 09 21 88 41 f0 0a 00 11 24 a0 41 d1 10 26 a0 71 d1 10 29 d0 2d 40 | ...+..+....!.A....$.A..&.q..).-@ |
| 0dc0 | c0 11 d1 2d 43 c0 41 d1 2d 46 d3 10 46 d8 14 27 a8 01 d1 14 2a a8 31 d1 14 2d d0 31 44 c0 51 d1 | ...-C.A.-F..F..'....*.1..-.1D.Q. |
| 0de0 | 31 47 c8 01 d1 31 4a d3 14 4a d8 14 27 a8 01 d1 14 2a a8 31 d1 14 2d d0 31 44 c0 51 d1 31 47 c8 | 1G...1J..J..'....*.1..-.1D.Q.1G. |
| 0e00 | 01 d1 31 4a d3 14 4a e0 18 19 98 31 98 61 90 79 d4 10 20 f1 13 09 09 21 f0 09 0d 05 21 f0 1c 00 | ..1J..J....1.a.y.......!....!... |
| 0e20 | 0c 10 f3 00 00 00 00 63 01 00 00 00 00 00 00 00 00 00 00 00 03 00 00 00 03 00 00 00 f3 1c 00 00 | .......c........................ |
| 0e40 | 00 97 00 74 01 00 00 00 00 00 00 00 00 7c 00 ab 01 00 00 00 00 00 00 64 01 75 00 53 00 29 02 61 | ...t.........|.........d.u.S.).a |
| 0e60 | b2 02 00 00 43 68 65 63 6b 20 69 66 20 61 20 67 72 61 70 68 20 69 73 20 41 54 2d 66 72 65 65 2e | ....Check.if.a.graph.is.AT-free. |
| 0e80 | 0a 0a 20 20 20 20 54 68 65 20 6d 65 74 68 6f 64 20 75 73 65 73 20 74 68 65 20 60 66 69 6e 64 5f | ......The.method.uses.the.`find_ |
| 0ea0 | 61 73 74 65 72 6f 69 64 61 6c 5f 74 72 69 70 6c 65 60 20 6d 65 74 68 6f 64 20 74 6f 20 72 65 63 | asteroidal_triple`.method.to.rec |
| 0ec0 | 6f 67 6e 69 7a 65 0a 20 20 20 20 61 6e 20 41 54 2d 66 72 65 65 20 67 72 61 70 68 2e 20 49 66 20 | ognize.....an.AT-free.graph..If. |
| 0ee0 | 6e 6f 20 61 73 74 65 72 6f 69 64 61 6c 20 74 72 69 70 6c 65 20 69 73 20 66 6f 75 6e 64 20 74 68 | no.asteroidal.triple.is.found.th |
| 0f00 | 65 20 67 72 61 70 68 20 69 73 0a 20 20 20 20 41 54 2d 66 72 65 65 20 61 6e 64 20 54 72 75 65 20 | e.graph.is.....AT-free.and.True. |
| 0f20 | 69 73 20 72 65 74 75 72 6e 65 64 2e 20 49 66 20 61 74 20 6c 65 61 73 74 20 6f 6e 65 20 61 73 74 | is.returned..If.at.least.one.ast |
| 0f40 | 65 72 6f 69 64 61 6c 20 74 72 69 70 6c 65 20 69 73 0a 20 20 20 20 66 6f 75 6e 64 20 74 68 65 20 | eroidal.triple.is.....found.the. |
| 0f60 | 67 72 61 70 68 20 69 73 20 6e 6f 74 20 41 54 2d 66 72 65 65 20 61 6e 64 20 46 61 6c 73 65 20 69 | graph.is.not.AT-free.and.False.i |
| 0f80 | 73 20 72 65 74 75 72 6e 65 64 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 20 20 20 | s.returned.......Parameters..... |
| 0fa0 | 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 47 72 61 70 | ----------.....G.:.NetworkX.Grap |
| 0fc0 | 68 0a 20 20 20 20 20 20 20 20 54 68 65 20 67 72 61 70 68 20 74 6f 20 63 68 65 63 6b 20 77 68 65 | h.........The.graph.to.check.whe |
| 0fe0 | 74 68 65 72 20 69 73 20 41 54 2d 66 72 65 65 20 6f 72 20 6e 6f 74 2e 0a 0a 20 20 20 20 52 65 74 | ther.is.AT-free.or.not.......Ret |
| 1000 | 75 72 6e 73 0a 20 20 20 20 2d 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 62 6f 6f 6c 0a 20 20 20 20 20 20 | urns.....-------.....bool....... |
| 1020 | 20 20 54 72 75 65 20 69 66 20 47 20 69 73 20 41 54 2d 66 72 65 65 20 61 6e 64 20 46 61 6c 73 65 | ..True.if.G.is.AT-free.and.False |
| 1040 | 20 6f 74 68 65 72 77 69 73 65 2e 0a 0a 20 20 20 20 45 78 61 6d 70 6c 65 73 0a 20 20 20 20 2d 2d | .otherwise.......Examples.....-- |
| 1060 | 2d 2d 2d 2d 2d 2d 0a 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e 47 72 61 70 68 28 5b 28 30 2c | ------.....>>>.G.=.nx.Graph([(0, |
| 1080 | 20 31 29 2c 20 28 30 2c 20 32 29 2c 20 28 31 2c 20 32 29 2c 20 28 31 2c 20 33 29 2c 20 28 31 2c | .1),.(0,.2),.(1,.2),.(1,.3),.(1, |
| 10a0 | 20 34 29 2c 20 28 34 2c 20 35 29 5d 29 0a 20 20 20 20 3e 3e 3e 20 6e 78 2e 69 73 5f 61 74 5f 66 | .4),.(4,.5)]).....>>>.nx.is_at_f |
| 10c0 | 72 65 65 28 47 29 0a 20 20 20 20 54 72 75 65 0a 0a 20 20 20 20 3e 3e 3e 20 47 20 3d 20 6e 78 2e | ree(G).....True......>>>.G.=.nx. |
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| 1100 | 66 72 65 65 28 47 29 0a 20 20 20 20 46 61 6c 73 65 0a 20 20 20 20 4e 29 01 72 05 00 00 00 29 01 | free(G).....False.....N).r....). |
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| 12c0 | 53 00 29 03 61 a3 02 00 00 43 72 65 61 74 65 20 63 6f 6d 70 6f 6e 65 6e 74 20 73 74 72 75 63 74 | S.).a....Create.component.struct |
| 12e0 | 75 72 65 20 66 6f 72 20 47 2e 0a 0a 20 20 20 20 41 20 2a 63 6f 6d 70 6f 6e 65 6e 74 20 73 74 72 | ure.for.G.......A.*component.str |
| 1300 | 75 63 74 75 72 65 2a 20 69 73 20 61 6e 20 60 6e 78 6e 60 20 61 72 72 61 79 2c 20 64 65 6e 6f 74 | ucture*.is.an.`nxn`.array,.denot |
| 1320 | 65 64 20 60 63 60 2c 20 77 68 65 72 65 20 60 6e 60 20 69 73 0a 20 20 20 20 74 68 65 20 6e 75 6d | ed.`c`,.where.`n`.is.....the.num |
| 1340 | 62 65 72 20 6f 66 20 76 65 72 74 69 63 65 73 2c 20 20 77 68 65 72 65 20 65 61 63 68 20 72 6f 77 | ber.of.vertices,..where.each.row |
| 1360 | 20 61 6e 64 20 63 6f 6c 75 6d 6e 20 63 6f 72 72 65 73 70 6f 6e 64 73 20 74 6f 20 61 20 76 65 72 | .and.column.corresponds.to.a.ver |
| 1380 | 74 65 78 2e 0a 0a 20 20 20 20 2e 2e 20 6d 61 74 68 3a 3a 0a 20 20 20 20 20 20 20 20 63 5f 7b 75 | tex..........math::.........c_{u |
| 13a0 | 76 7d 20 3d 20 5c 62 65 67 69 6e 7b 63 61 73 65 73 7d 20 30 2c 20 69 66 20 76 20 5c 69 6e 20 4e | v}.=.\begin{cases}.0,.if.v.\in.N |
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| 1400 | 65 6e 64 7b 63 61 73 65 73 7d 0a 0a 20 20 20 20 57 68 65 72 65 20 60 6b 60 20 69 73 20 61 6e 20 | end{cases}......Where.`k`.is.an. |
| 1420 | 61 72 62 69 74 72 61 72 79 20 6c 61 62 65 6c 20 66 6f 72 20 65 61 63 68 20 63 6f 6d 70 6f 6e 65 | arbitrary.label.for.each.compone |
| 1440 | 6e 74 2e 20 54 68 65 20 73 74 72 75 63 74 75 72 65 20 69 73 20 75 73 65 64 0a 20 20 20 20 74 6f | nt..The.structure.is.used.....to |
| 1460 | 20 73 69 6d 70 6c 69 66 79 20 74 68 65 20 64 65 74 65 63 74 69 6f 6e 20 6f 66 20 61 73 74 65 72 | .simplify.the.detection.of.aster |
| 1480 | 6f 69 64 61 6c 20 74 72 69 70 6c 65 73 2e 0a 0a 20 20 20 20 50 61 72 61 6d 65 74 65 72 73 0a 20 | oidal.triples.......Parameters.. |
| 14a0 | 20 20 20 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 47 | ...----------.....G.:.NetworkX.G |
| 14c0 | 72 61 70 68 0a 20 20 20 20 20 20 20 20 55 6e 64 69 72 65 63 74 65 64 2c 20 73 69 6d 70 6c 65 20 | raph.........Undirected,.simple. |
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| 1540 | 74 69 6f 6e 61 72 69 65 73 2c 20 6b 65 79 65 64 20 62 79 20 70 61 69 72 73 20 6f 66 20 76 65 72 | tionaries,.keyed.by.pairs.of.ver |
| 1560 | 74 69 63 65 73 2e 0a 0a 20 20 20 20 72 02 00 00 00 e9 01 00 00 00 29 06 72 0a 00 00 00 72 0b 00 | tices.......r.........).r....r.. |
| 1580 | 00 00 72 10 00 00 00 da 08 73 75 62 67 72 61 70 68 72 0e 00 00 00 da 14 63 6f 6e 6e 65 63 74 65 | ..r......subgraphr......connecte |
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| 1820 | 23 f3 03 00 02 21 f1 06 29 01 1f 72 1b 00 00 00 | #....!..)..r.... |