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arXiv · 0803.0134

On disjoint matchings in cubic graphs

Vahan V. Mkrtchyan·Samvel S. Petrosyan·Gagik N. Vardanyan
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Abstract

For $i=2,3$ and a cubic graph $G$ let $ν_{i}(G)$ denote the maximum number of edges that can be covered by $i$ matchings. We show that $ν_{2}(G)\geq {4/5}| V(G)| $ and $ν_{3}(G)\geq {7/6}| V(G)| $. Moreover, it turns out that $ν_{2}(G)\leq \frac{|V(G)|+2ν_{3}(G)}{4}$.

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Vahan V. Mkrtchyan, Samvel S. Petrosyan, Gagik N. Vardanyan. 2010-02-25. On disjoint matchings in cubic graphs. https://doi.org/10.1016/j.disc.2010.02.007

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