On the size of critical graphs with maximum degree 8
نویسندگان
چکیده
منابع مشابه
On the size of edge-coloring critical graphs with maximum degree 4
In 1968, Vizing proposed the following conjecture: If G = (V, E) is a ∆-critical graph of order n and size m, then m ≥ 2 [(∆ − 1)n + 3]. This conjecture has been verified for the cases of ∆ ≤ 5. In this paper, we prove that m ≥ 7 4n when ∆ = 4. It improves the known bound for ∆ = 4 when n > 6. c © 2008 Published by Elsevier B.V.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2010
ISSN: 0012-365X
DOI: 10.1016/j.disc.2010.04.010