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Number of unlabeled, connected graphs on n vertices which have no induced subgraph isomorphic to a P5, P5-bar or C5 and are not bipartite nor cobipartite and are primes.
0

%I #10 Jan 23 2016 09:32:48

%S 0,0,0,0,1,4,18,85,455,2870,21280,192548

%N Number of unlabeled, connected graphs on n vertices which have no induced subgraph isomorphic to a P5, P5-bar or C5 and are not bipartite nor cobipartite and are primes.

%C P5 = path on five vertices. P5-bar = complement of P5. C5 = cycle on five vertices. Cobipartite means having a bipartite complement. G prime if G has no module (homogeneous set.)

%H F. Hüffner, <a href="https://github.com/falk-hueffner/tinygraph">tinygraph</a>, software for generating integer sequences based on graph properties.

%K more,nonn

%O 1,6

%A _Jim Nastos_, Jan 24 2003

%E a(10)-a(12) added using tinygraph by _Falk Hüffner_, Jan 23 2016