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) ≤. It is known that α (G) < |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 part...

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Bibliographic Details
Main Authors: Pang Shiyou, Miao Lianying, Song Wenyao, Miao Zhengke
Format: Article
Language:English
Published: University of Zielona Góra 2014-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1753