Document Type
Article
Publication Date
2-2016
Department 1
Mathematics
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.
Copyright Note
This is the publisher's version of the work. This publication appears in Gettysburg College's institutional repository by permission of the copyright owner for personal use, not for redistribution.
Recommended Citation
Becker, Ryan P., and Darren B. Glass. "Cyclic Critical Groups of Graphs." The Australasian Journal of Combinatorics 64.1 (February 2016), 366-375.
Required Publisher's Statement
Original version is available from the publisher at: http://ajc.maths.uq.edu.au/?page=get_volumes&volume=64