A Note on the Critical Group of a Line Graph

  • David Perkinson
  • Nick Salter
  • Tianyuan Xu
DOI: https://doi.org/10.37236/611

Abstract

This note answers a question posed by Levine. The main result shows that under certain circumstances a critical group of a directed graph is the quotient of a critical group of its directed line graph.

Published
2011-06-06
How to Cite
Perkinson, D., Salter, N., & Xu, T. (2011). A Note on the Critical Group of a Line Graph. The Electronic Journal of Combinatorics, 18(1), P124. https://doi.org/10.37236/611
Issue
Volume 18, Issue 1 (2011)
Article Number
P124