On Fri, Oct 2, 2015 at 5:44 PM, David Joyner <[email protected]> wrote:
> Hi all:
>
> Several online sources (including a page on Royle's website) give the
> girth of the Foster graph to be 10, but Sage gives 6:
>
> sage: Gamma = graphs.FosterGraph()
> sage: G.girth()
> 6
>
> Is there a bug in girth?
>
> - David

I might have found an answer to my own question:

sage: G = graphs.LCFGraph(90, [17,-9,37,-37,9,-17], 15)
sage: G.is_vertex_transitive()
True
sage: G.is_hamiltonian()
True
sage: G.chromatic_number()
2
sage: G.is_bipartite()
True
sage: len(G.vertices())
90
sage: len(G.edges())
135
sage: G.girth()
10

These suggest that G is the true Foster graph

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