On 01/03/2013 12:30 PM, jcjveraa wrote:
> Thanks for the quick reply! I might be even better off just installing
> Linux, I've tried it on a virtual instance and it was more or less just
> an apt-get install on Ubuntu which is quite a bit easier :)

It is... One day I might install windows on a virtual machine and sort
these problems, but it is not very high on my priority list, I must
confess.

> I was wondering: the specific graphs I'm looking for are induced
> isomorphic subgraphs. G can be any undirected graph, and subgraph S is a
> chorless cycle (i.e. a 'ring' with n vertices).
> I specifically want to find all (unique) vertex induced subgraphs of S
> in G, or in other words all chordless subgraphs of length n in G.
>
> With
> vm, em = gt.subgraph_isomorphism(S,G)
> I can find subgraphs, but they are not neccesarily vertex induced: the
> found isomorphic subgraph (lets call them F) can have more edges than S

Note that the motifs() function will probably do just what you want. A
"motif" is what some non-mathematicians call an induced subgraph.

> I can see two ways to detect if the found subgraph F is isomorphic to S
>
>  1. (for this specific case) check if the number of edges in S == number
>     of edges in F - as they are cyclic this works
>  2. check with gt.isomorphism(S,F)
>
> Only: how do I get F?
>
> I use vmask, emask = gt.mark_subgraph(G,S, vm[i], em[i]) in a loop as in
>
http://projects.skewed.de/graph-tool/doc/topology.html#graph_tool.topology.subgraph_isomorphism,
> but after masking G.set_vertex_filter(vmask) still gt.isomorphism(S,G)
> == False

The function gt.isomorphism() tests for isomorphism, not subgraph
ismorphism. So it should return False in this case, unless it is
induced, as you desire. I imagine you want to use the edge filter here
as well.

> How do I generate a new graph from the output of
> gt.subgraph_isomorphism(S,G) which has all vertices and edges of F but
> no more (i.e. how do I define F as a graph which will possibly give
> gt.isomorphism(F,S) == True when this is the case).

From what I can see, in the above gt.isomorphism(F,S) == True should
happen if F is an induced subgraph....

> Or should I be able to check the number of edges in the filtered version
> of G as per my method 1? How?

After you have masked the vertices/edges you get this simply from
g.num_edges().

Cheers,
Tiago

-- 
Tiago de Paula Peixoto <[email protected]>

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