Displaying similar documents to “A note on the critical group of a line graph.”

On the Independence Number of Edge Chromatic Critical Graphs

Shiyou Pang, Lianying Miao, Wenyao Song, Zhengke Miao (2014)

Discussiones Mathematicae Graph Theory

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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 particular we prove that α (G) ≤ [...] |V | when △ ≥ 5 and n2 ≤ 2(△− 1)