Harmonic quotients of regular graphs – examples

Caroline Melles and I have written a preprint that collects numerous examples of harmonic quotient morphisms \phi : \Gamma_2 \to \Gamma_1, where \Gamma_1=\Gamma_2/G is a quotient graph obtained from some subgroup G \subset Aut(\Gamma_2). The examples are for graphs having a small number of vertices (no more than 12). For the most part, we also focused on regular graphs with small degree (no more than 5). They were all computed using SageMath and a module of special purpose Python functions I’ve written (available on request). I’ve not counted, but the number of examples is relatively large, maybe over one hundred.

I’ll post it to the math arxiv at some point but if you are interested now, here’s a copy: click here for pdf.

Leave a Reply

Please log in using one of these methods to post your comment:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s