Cyclic Critical Groups of Graphs
Combinatorics
2015-04-23 v1
Abstract
In this note, we describe a construction that leads to families of graphs whose critical groups are cyclic. For some of these families we are able to give a formula for the number of spanning trees of the graph, which then determines the group exactly. We also pose several open questions related to this work.
Cite
@article{arxiv.1504.05939,
title = {Cyclic Critical Groups of Graphs},
author = {Ryan Becker and Darren Glass},
journal= {arXiv preprint arXiv:1504.05939},
year = {2015}
}