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arXiv · 1209.0096

A note on 5-cycle double covers

Arthur Hoffmann-Ostenhof
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Abstract

The strong cycle double cover conjecture states that for every circuit $C$ of a bridgeless cubic graph $G$, there is a cycle double cover of $G$ which contains $C$. We conjecture that there is even a 5-cycle double cover $S$ of $G$ which contains $C$, i.e. $C$ is a subgraph of one of the five 2-regular subgraphs of $S$. We prove a necessary and sufficient condition for a 2-regular subgraph to be contained in a 5-cycle double cover of $G$.

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Arthur Hoffmann-Ostenhof. 2012-09-01. A note on 5-cycle double covers. https://doi.org/10.1007/s00373-012-1169-8

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