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2010-08-15
A Note on the Critical Group of a Line Graph
David PerkinsonNicholas SalterTianyuan Xu
文献摘要
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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