[Nauty] obtain all butterfly-free connected graphs with 16 vertices and 18 edges.

Brendan McKay Brendan.McKay at anu.edu.au
Mon Apr 8 11:23:56 AEST 2024


Once you incorporate a property filter into geng using the PRUNE facility,
all the other options of geng, including number of edges, remain available.

Brendan.

On 8/4/2024 12:58 am, lczhangmath via Nauty wrote:
> Of course, I'm also interested in more general modification schemes.  That is to say, obtain all butterfly-free connected graphs with n vertices and m edges.
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> Best wishes
> Licheng
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> 在 2024-04-07 22:53:55,"lczhangmath" <lczhangmath at 163.com> 写道:
>
> Hi
> The butterfly or bowtie graph is obtained by joining two copies of C3 at a common vertex. A butterfly-free graph is a graph that does not contain butterfly as a subgraph.
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> I would like to obtain all   butterfly-free connected graphs with 16 vertices and 18 edges.
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> I understand that, with certain modifications, geng can be utilized to produce programs that exclude specific subgraphs or induced subgraphs. Guenter Stertenbrink mentioned that his old program was capable of obtaining induced-subgraph-free graphs.
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> I'm now interested in generating subgraph-free graphs, rather than induced subgraph-free graphs. How to do.
> Best
> Licheng
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