Applications of a set-theoretic lemma
نویسندگان
چکیده
منابع مشابه
A Set and Collection Lemma
A set S ⊆ V (G) is independent if no two vertices from S are adjacent. Let α (G) stand for the cardinality of a largest independent set. In this paper we prove that if Λ is a nonempty collection of maximum independent sets of a graph G, and S is an independent set, then • there is a matching from S − ⋂ Λ into ⋃ Λ− S, and • |S|+ α(G) 6 ∣∣∣⋂Λ ∩ S∣∣∣+ ∣∣∣⋃Λ ∪ S∣∣∣. Based on these findings we provi...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1984
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1984-0749905-3