Cycle double covers of graphs with Hamilton paths (Q1089005)
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scientific article; zbMATH DE number 4002129
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cycle double covers of graphs with Hamilton paths |
scientific article; zbMATH DE number 4002129 |
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Cycle double covers of graphs with Hamilton paths (English)
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1989
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A k-cycle double cover of a graph G is a collection Z of at most k eulerian subgraphs of G such that every edge of G is an edge of exactly two subgraphs in Z. Presented is a short proof of the following theorem due to \textit{M. Tarsi} [``Semi-duality and the cycle double cover conjecture,'' J. Comb. Theory, Ser. B 41, 332-340 (1986; Zbl 0607.05019)]: Every bridgeless graph containing a Hamilton path has a 6- cycle double cover.
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cycle double cover
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eulerian subgraphs
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Hamilton path
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