Oops, didn't see your reply before I posted.  Not counting the empty
graph is very very strange.  At the very least OEIS needs to be
updated to have a proper definition to warn people that the empty
graph is excluded.



On Tue, Oct 30, 2012 at 4:23 AM, Dima Pasechnik <dimp...@gmail.com> wrote:
> On 2012-10-30, Jernej Azarija <azi.std...@gmail.com> wrote:
>> ------=_Part_1698_7171753.1351582604933
>> Content-Type: text/plain; charset=ISO-8859-1
>>
>> On Monday, 29 October 2012 22:49:03 UTC+1, Tom wrote:
>>>
>>> Here's a list of 21 edge-transitive graphs on 6 vertices.
>>>
> [...]
>>> They've all got 6 vertices.  They're all edge transitive.  That means
>>> Weisstein's list is wrong.
>
> no, not really. He just doesn't count empty graphs. Somewhere on
> http://mathworld.wolfram.com/Edge-TransitiveGraph.html
> you can read:
>
> "Counting empty graphs as edge-transitive, the numbers of edge-transitive
> graphs on , 2, ... nodes are 1, 2, 4, 8, 12, 21, 27, .... "
>
> So it's a misunderstand related to definitions used, rather than
> a bug in someone's code, it seems.
>
> Dima
>
>
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