A Note on the Critical Group of a Line Graph

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A Note on the Critical Group of a Line Graph

This note answers a question posed by Levine in [3]. 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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ژورنال

عنوان ژورنال: The Electronic Journal of Combinatorics

سال: 2011

ISSN: 1077-8926

DOI: 10.37236/611