#18498: Sierpinski graph
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Reporter: | Owner:
chapoton | Status: needs_review
Type: | Milestone: sage-6.8
enhancement | Resolution:
Priority: minor | Merged in:
Component: graph | Reviewers:
theory | Work issues:
Keywords: graph | Commit:
Authors: | 4acfe4e7c3d7fcddf0a9480d3bd294565562817c
Frédéric Chapoton | Stopgaps:
Report Upstream: N/A |
Branch: |
u/chapoton/18498 |
Dependencies: |
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Comment (by ncohen):
> I have used the word "generation", maybe better ?
It is better. You must also provide a definition of the graph you define,
though you must also justify the creation of a "Sierpinski digraph",
preferably from existing papers. When you google "sierpinski graph", all
that you find are undirected graphs.
Furthermore, some sem to hint that those graphs [1] are (in some cases)
isomorphic to Hanoi Tower graphs. But the pictures from Wolfram [2] and
those that we can produce with Sage clearly disagree
{{{
sage: graphs.HanoiTowerGraph(3,4).show(vertex_labels=False)
}}}
There is something fishy there.
Nathann
[1] See page 2, third paragraph of
http://www.gregas.eu/publications/preprints/klavzar-hamming-dimension-of-a
-graph-the-case-of-sierpinski-graphs
[2] http://mathworld.wolfram.com/SierpinskiSieveGraph.html
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Ticket URL: <http://trac.sagemath.org/ticket/18498#comment:6>
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