#19586: Add is_cayley_graph
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Reporter: jaanos | Owner:
Type: enhancement | Status: needs_work
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: | baba4a8d4919be000984d40f56db542557c55e51
u/jaanos/add_is_cayley_graph | Stopgaps:
Dependencies: |
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Comment (by jaanos):
Hi!
> > For the labels on undirected edges, what I currently do is pick one
label and use it whenever its inverse could be used.
>
> Sorry, I do not understand this sentence.
I meant that all undirected edges `(u, v)` such that `u*g == v` or `u*g^-1
== v`, the same label `g` is used (of course, `g^-1` would be just as
good).
> Nooooooo... `set_vertices`? You use it to store the bijection between
vertices and group elements? Can't you return a dictionary instead ?
>
> I hate those "gadget properties". They seem nice when you add them, and
then you see yourself spending your nights answering idiotic questions
like "what on earth should I do with set_vertices inside of
merge_vertices" or something like that `>_<`
Haha, it seems I hit something that shouldn't be:)
Maybe we should revert to the last commit, and just add an option to let
the user have exactly what they want (group/mapping/generating set). As
for the graph, I guess the best thing would be to let the user construct
it themselves the way that they want.
Janoš
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Ticket URL: <http://trac.sagemath.org/ticket/19586#comment:59>
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