[seqfan] Re: simplicial polyhedra, aka maximal planar graphs: is A000109 always equal to A007030 plus A115340?

William Orrick will.orrick at gmail.com
Thu Feb 25 16:48:42 CET 2021


Dear Richard,

I don't think my previous reply to you ever got posted to the list, but I
wanted to let you know that I've incorporated one of your images into the
Wikipedia article and have proposed an edit adding links to all the images
to sequence A007030.

Best,
Will

On Tue, Feb 23, 2021 at 6:08 AM Richard J. Mathar <mathar at mpia-hd.mpg.de>
wrote:

> > [seqfan] Re: simplicial polyhedra, aka maximal planar graphs: is A000109
> always equal to A007030 plus A115340?
> > William Orrick will.orrick at gmail.com
> > Sun Feb 21 16:00:25 CET 2021
> > ...
> > Doesn't the minimal non-Hamiltonian example have 11 vertices, not 13? I'm
> > thinking of the Goldner-Harary graph. Wikipedia has an image, but not the
> > best representation in my opinion since it doesn't make the 3-fold
> symmetry
> > obvious. A representation as a deltahedron could be obtained by gluing a
>
> I uploaded three ball-and-stick models of the Golden-Haray graph to
> https://commons.wikimedia.org/wiki/Category:Goldner%E2%80%93Harary_graphs
> .
> One of the views is oriented to illustrate the 3-fold rotation symmetry.
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>



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