A Note on the Critical Group of a Line Graph

Details A Note on the Critical Group of a Line Graph A Note on the Critical Group of a Line Graph

2010-08-15

arxiv.org/abs/1008.2557v2

Mathematics

Combinatorics

6 pages. Added details to the proof of Theorem 1. Fixed typos

Scientific paper

This note answers a question posed by Levine in arkiv:math.CO/0906.2809. The
main result is Theorem 1 which shows that under certain circumstances a
critical group of a directed graph is the quotient of a critical group of its
directed line graph.

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