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Enumerate isomrphic subgraphs of graph vertex labeled

asked 2010-09-14 19:17:45 -0500

sriram gravatar image

updated 2011-04-28 09:25:38 -0500

Kelvin Li gravatar image

Enumerate all isomorphic subgraphs of given graph given the subgraph adjacency matrix

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Can you post your code (up until the computation you want to perform)?

ccanonc gravatar imageccanonc ( 2010-09-17 10:28:52 -0500 )edit

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answered 2011-06-02 23:59:46 -0500

staffan gravatar image

All graphs in Sage support iteration over its major subcomponents, at least vertices and to create a graph from its adjacency matrix

mg= Graph(adj) mg.is_isomorphic(mg) -> True

# graph from adjency matrix
adj= Matrix ([ [0, 1, 1], [1, 0, 1], [1, 1, 0] ])
mg= Graph(adj)
mg.is_isomorphic(mg) -> True

If are you looking for the isomorphic subgraphs of the one you specify with the adj. graph you can usemg.subgraph_search_iterator().

too see how it might be used here. If you post the source as suggested above we could get a more detailed answer.

Here is a simple example of looking for the simplest graph, with zero vertices:

eg = Graph()
[p for p in mg.subgraph_search_iterator(eg)]
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Asked: 2010-09-14 19:17:45 -0500

Seen: 382 times

Last updated: Jun 02 '11