[GAP Forum] vertex-transitive non-Cayley graphs on 16 vertices

Petr Savicky savicky at cs.cas.cz
Fri Aug 29 08:35:55 BST 2014


On Thu, Aug 28, 2014 at 09:16:05AM +0800, Gordon Royle wrote:
> Data on transitive groups is available at
> 
> http://staffhome.ecm.uwa.edu.au/~00013890/remote/trans/index.html
> 
> Apologies for the constantly changing URL, but our university IT is constantly restructured…
> 
> The file for noncay16 contains these lines
> 
> Os`a`_HA_OA?OJGF?x?Hg
> O~a at OtJP?I_rAC at Gc@W_N
> O|qC?{eH_wbSKOQ[gdqC{
> O~i]ED[ZGM_zK`KQ`TWRN
> OvytUFCFyNC{E\FeMHzP]
> O~z\dzEqjdngBlB]c\we~
> O}rtt]]}NqL}VyL}FRyJ~
> O~~~ffVm~[Pn^RFnh^xN
> 
> Each line is a graph stored in a special format devised by Brendan McKay and called “g6” or “graph6”.
> 
> The computer algebra system Sage (sagemath.org<http://sagemath.org>) can read g6 and then draw you a picture or whatever else you want, or you can download a g6 reader from Brendan’s own website.

Thank you very much for this information. I installed
Sage and computed the automorphism groups and the sets
of the edges of these graphs.

Petr Savicky.




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