On the independence number of edge chromatic critical graphs
نویسندگان
چکیده
منابع مشابه
On the independence number of edge chromatic critical graphs
In 1968, Vizing conjectured that for any edge chromatic critical graph G = (V,E) with maximum degree ∆ and independence number α(G), α(G) ≤ |V | 2 . It is known that α(G) < 3∆−2 5∆−2 |V |. In this paper we improve this bound when ∆ ≥ 4. Our precise result depends on the number n2 of 2-vertices in G, but in particular we prove that α(G) ≤ 3∆−3 5∆−3 |V | when ∆ ≥ 5 and n2 ≤ 2(∆− 1).
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ژورنال
عنوان ژورنال: Discussiones Mathematicae Graph Theory
سال: 2014
ISSN: 1234-3099,2083-5892
DOI: 10.7151/dmgt.1753