#19586: Add is_cayley_graph
-------------------------------------+-------------------------------------
Reporter: jaanos | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: graph theory | Resolution:
Keywords: Cayley graphs | Merged in:
groups | Reviewers:
Authors: Janoš Vidali | Work issues:
Report Upstream: N/A | Commit:
Branch: | 4aaf3014fee5bb08d861636908d6733047d4a869
u/jaanos/add_is_cayley_graph | Stopgaps:
Dependencies: |
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Comment (by dimpase):
Replying to [comment:39 jaanos]:
> Perhaps I was not being precise enough: I was talking about the
generating set of the Cayley graph, not about the generators of the group.
well, how about having a proper `digraphs.CayleyGraph()` constructor?
(one can use GRAPE package of GAP, which is going to be re-released under
GPL)
e.g.
{{{
gap> LoadPackage("grape");
true
gap> C:=CayleyGraph(SymmetricGroup(4),[(1,2),(2,3),(3,4)]);
rec( adjacencies := [ [ 2, 3, 7 ] ], group := Group([
(1,10,17,19)(2,9,18,20)(3,12,14,21)(4,11,13,22)
(5,7,16,23)(6,8,15,24),
(1,7)(2,8)(3,9)(4,10)(5,11)(6,12)(13,15)(14,16)(17,18)(19,21)(20,22)
(23,24) ]), isGraph := true, isSimple := true,
names := [ (), (3,4), (2,3), (2,3,4), (2,4,3), (2,4), (1,2), (1,2)(3,4),
(1,2,3), (1,2,3,4),
(1,2,4,3), (1,2,4), (1,3,2), (1,3,4,2), (1,3), (1,3,4), (1,3)(2,4),
(1,3,2,4), (1,4,3,2),
(1,4,2), (1,4,3), (1,4), (1,4,2,3), (1,4)(2,3) ], order := 24,
representatives := [ 1 ],
schreierVector := [ -1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1,
2, 1, 1, 2, 2, 1, 2 ] )
gap>
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/19586#comment:40>
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