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Circuit coverings of graphs and a conjecture of Pyber - MaRDI portal

Circuit coverings of graphs and a conjecture of Pyber (Q1898727)

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scientific article; zbMATH DE number 798754
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English
Circuit coverings of graphs and a conjecture of Pyber
scientific article; zbMATH DE number 798754

    Statements

    Circuit coverings of graphs and a conjecture of Pyber (English)
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    20 September 1995
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    It is proved that every bridgeless graph \(G\) has a circuit cover \({\mathcal F}\) such that each vertex \(v\) is contained in at most \(\max \{d(v), 3\}\) members of \({\mathcal F}\). This result proves a conjecture by Pyber (1992).
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    integer flow
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    bridgeless graph
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    circuit cover
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    conjecture by Pyber
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