Covering a cubic graph by 5 perfect matchings

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چکیده

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Covering a cubic graph by 5 perfect matchings

Berge Conjecture states that every bridgeless cubic graph has 5 perfect matchings such that each edge is contained in at least one of them. In this paper, we show that Berge Conjecture holds for two classes of cubic graphs, cubic graphs with a circuit missing only one vertex and bridgeless cubic graphs with a 2-factor consisting of two circuits. The first part of this result implies that Berge ...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2017

ISSN: 0012-365X

DOI: 10.1016/j.disc.2017.03.014