On the restricted matching extension of graphs in surfaces

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0 On the restricted matching of graphs in surfaces ∗

A connected graph G with at least 2m + 2n + 2 vertices is said to have property E(m,n) if, for any two disjoint matchings M and N of size m and n respectively, G has a perfect matching F such that M ⊆ F and N ∩ F = ∅. In particular, a graph with E(m, 0) is m-extendable. Let μ(Σ) be the smallest integer k such that no graphs embedded on a surface Σ are k-extendable. Aldred and Plummer have prove...

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ژورنال

عنوان ژورنال: Applied Mathematics Letters

سال: 2012

ISSN: 0893-9659

DOI: 10.1016/j.aml.2012.02.005