On Wed, 25 Apr 2018, Ewan Davies wrote:

The Moser spindle is important as a small (7 vertex) unit distance graph
that is not 3-colorable, and is included in sage's smallgraphs.py. But the
embedding given there is not the unit distance embedding! I think this
should be corrected, and have appropriate code.

Maybe. OTOH also the Petersen graph is unit distance graph, but it already has a nice drawing. A graph may have several different "nice" properties such that a single drawing can not show them all.

Secondly, the Golomb graph is another small unit distance graph which is not
3-colorable. I would like to submit a function for smallgraphs.py that lets
this be a named graph in sage.

Good idea, but first check that it is not already included with some other name.

You may also want to add a function to recognize unit distance graphs.

--
Jori Mäntysalo

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