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Xiu-Mei Wang

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Preprint Oct 2026

Covering Bridgeless Claw-Free Cubic Graphs with Perfect Matchings

The Berge conjecture [Proc. London Math. Soc., 1979] asserts that every bridgeless cubic graph can be covered by five perfect matchings. The 5-cycle double cover conjecture, proposed independently by Preissmann (1981) and Celmins (1984), asserts that every bridgeless graph admits five even subgraphs such that every edg...

Huai-Bin Zhou, Xiu-Mei Wang · 0 citations
Preprint Oct 2026

Perfect matching covers of claw-free cubic graphs

The Berge conjecture [Proc. London Math. Soc., 1979] asserts that every bridgeless cubic graph can be covered by five perfect matchings. The 5-cycle double cover conjecture, proposed independently by Preissmann (1981) and Celmins (1984), asserts that every bridgeless graph admits five even subgraphs such that every edg...

Huai-Bin Zhou, Xiu-Mei Wang · 0 citations

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