#19586: Add is_cayley_graph
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Reporter: jaanos | Owner:
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-7.1
Component: graph theory | Resolution:
Keywords: Cayley graphs | Merged in:
groups | Reviewers: Nathann Cohen
Authors: Janoš Vidali | Work issues:
Report Upstream: N/A | Commit:
Branch: | a58a7348bc022f39bf68383b70400e8b7f5b268b
u/jaanos/add_is_cayley_graph | Stopgaps:
Dependencies: |
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Changes (by dimpase):
* status: needs_info => positive_review
Comment:
Replying to [comment:84 jaanos]:
> Replying to [comment:83 dimpase]:
> > it is certainly true that you can assume w=1. So you have the
neighbours of 1 in the graph (with its vertices labelled by the elements
of G) say g,,1,,,...,g,,k,,. Now you need an argument that
g,,1,,,...,g,,k,, generate G. I don't see it in what you wrote above.
>
> If the graph is connected, they clearly do (if the graph is directed,
vertex-transitivity then implies that it is also strongly connected).
Ah, right. Sorry, I'm not very bright tonight. It's all good.
--
Ticket URL: <http://trac.sagemath.org/ticket/19586#comment:85>
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