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Questions about the program Nauty (No AUTomorphisms, Yes?) used for studying isomorphisms of graphs.

4 votes
1 answer
470 views

Is there an algorithm to generate graphs with given order and diameter?

I saw a question on the nauty emailing list without receiving any response, and it's something I've encountered in my own research as well. I am currently interested in graphs with diameter 3. …
Licheng Zhang's user avatar
4 votes
0 answers
231 views

How many 20-vertex 2-connected 5-regular non-Hamiltonian graphs are there?

As for the question in title, I attempted to use nauty to obtain them, but it has been running on my computer for nearly three days without producing any results. ./geng 20 -C -d5 -D5 | . …
Licheng Zhang's user avatar