Article ID Journal Published Year Pages File Type
4648387 Discrete Mathematics 2010 26 Pages PDF
Abstract

For i=2,3i=2,3 and a cubic graph GG let νi(G)νi(G) denote the maximum number of edges that can be covered by ii matchings. We show that ν2(G)≥45|V(G)| and ν3(G)≥76|V(G)|. Moreover, it turns out that ν2(G)≤|V(G)|+2ν3(G)4.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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