Classes of line graphs with small cycle double covers (Q2760460)
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scientific article; zbMATH DE number 1684696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classes of line graphs with small cycle double covers |
scientific article; zbMATH DE number 1684696 |
Statements
2 January 2002
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small cycle double cover
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line graph
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Classes of line graphs with small cycle double covers (English)
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The small cycle double cover conjecture, due to Bondy in 1990, states that every simple bridgeless graph of order \(n\) has a cycle double cover with at most \(n-1\) cycles. The authors show that this conjecture holds for line graphs of a number of types of graphs; specifically for line graphs of complete graphs, of complete bipartite graphs, and of planar graphs.
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