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Maximal matchings in graphs with large neighborhoods of independent vertices

✍ Scribed by I. Rinsma; C. H. C. Little; D. R. Woodall


Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
174 KB
Volume
14
Category
Article
ISSN
0364-9024

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✦ Synopsis


Abstract

We obtain lower bounds on the size of a maximum matching in a graph satisfying the condition |N(X)| ≥ s for every independent set X of m vertices, thus generalizing results of Faudree, Gould, Jacobson, and Schelp for the case m = 2.