A Note on the Critical Group of a Line Graph
Copyright policy )A Note on the Critical Group of a Line Graph
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.
- Department of Mathematics The University of Chicago United States
- University of Chicago United States
- Reed College United States
- University of Oregon United States
critical group, Graph operations (line graphs, products, etc.), FOS: Mathematics, Directed graphs (digraphs), tournaments, Mathematics - Combinatorics, Combinatorics (math.CO), directed line graph, directed graph, 05C20, 05C25, Graphs and abstract algebra (groups, rings, fields, etc.)
critical group, Graph operations (line graphs, products, etc.), FOS: Mathematics, Directed graphs (digraphs), tournaments, Mathematics - Combinatorics, Combinatorics (math.CO), directed line graph, directed graph, 05C20, 05C25, Graphs and abstract algebra (groups, rings, fields, etc.)
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