Shortest circuit covers of cubic graphs (Q1322025)

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scientific article; zbMATH DE number 562411
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Shortest circuit covers of cubic graphs
scientific article; zbMATH DE number 562411

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    Shortest circuit covers of cubic graphs (English)
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    26 January 1995
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    The paper provides a constructive proof that the edge set of a bridgeless cubic graph \(G\) can be covered by circuits with lengths summing to at most \({64 \over 39} | E(G) |\). The proof technique indicates a polynomial algorithm for finding such a circuit cover. Improvements for cubic graphs of larger girth are included.
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    cycles covers
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    cubic graph
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    polynomial algorithm
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    circuit cover
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