Vizing's 2-Factor Conjecture Involving Large Maximum Degree
نویسندگان
چکیده
منابع مشابه
Vizing's 2-Factor Conjecture Involving Large Maximum Degree
Let G be a simple graph of order n, and let ∆(G) and χ′(G) denote the maximum degree and chromatic index of G, respectively. Vizing proved that χ′(G) = ∆(G) or ∆(G) + 1. Following this result, G is called edge-chromatic critical if χ′(G) = ∆(G) + 1 and χ′(G − e) = ∆(G) for every e ∈ E(G). In 1968, Vizing conjectured that if G is edge-chromatic critical, then the independence number α(G) ≤ n/2, ...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 2017
ISSN: 0364-9024
DOI: 10.1002/jgt.22135