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Kind of subgraphs matched by VF3 #5

@bkj

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@bkj

Hi --

Running the example command

./bin/vf3 ./test/bvg1.sub.grf ./test/bvg1.grf -s

gives you the following matches

0,0:19,1:12,2:17,3:
0,0:19,1:12,2:5,3:
0,0:2,1:12,2:17,3:
0,0:2,1:12,2:5,3:
0,0:2,1:5,2:12,3:
0,0:2,1:5,2:17,3:
13,0:9,1:14,2:16,3:
13,0:9,1:16,2:14,3:
5,0:0,1:7,2:19,3:
6,0:18,1:11,2:9,3:
6,0:18,1:9,2:11,3:
7,0:5,1:11,2:18,3:
7,0:5,1:18,2:11,3:

However, both edges 0 17 and 17 0 exist in the target graph, so the subgraph induced by 0 12 17 19 has four edges:

0 17
0 12
17 0
19 0

What kinds of subgraphs is VF3 trying to match? I thought it was "find a set of nodes in target s.t. the subgraph they induce is isomorphic to query" -- but the above example suggests it may be something different.

As another example -- the subgraph induced by 0,0:19,1:12,2:5,3: is not isomorphic to query -- there's an edge 5 19 in target that isn't in query.

(FWIW -- the VF2 implementation in networkx does not return either of the above examples, which IMO is the expected behavior.)

Thanks!

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