Geodesic
A note on the critical group of a line graph
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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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.
DOI : 10.37236/611
Classification : 05C20, 05C25, 05C76
Mots-clés : critical group, directed graph, directed line graph 
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David Perkinson; Nick Salter; Tianyuan Xu. A note on the critical group of a line graph. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/611

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