Regular graphs with high edge degree
نویسندگان
چکیده
منابع مشابه
Edge coloring regular graphs of high degree
We discuss the following conjecture: If G = (V; E) is a-regular simple graph with an even number of vertices at most 22 then G is edge colorable. In this paper we show that the conjecture is true for large graphs if jV j < (2 ?)). We discuss related results.
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We consider the following conjecture: Let G be a k-regular simple graph with an even number n of vertices. If k ≥ n/2 then G is k-edge-colourable. We show that this conjecture is true for graphs that are join of two graphs and we provide a polynomial time algorithm for finding a k-edge-colouring of these graphs. c © 2007 Elsevier B.V. All rights reserved.
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A fundamental theorem of Wilson states that, for every graph F , every sufficiently large F -divisible clique has an F -decomposition. Here a graph G is F -divisible if e(F ) divides e(G) and the greatest common divisor of the degrees of F divides the greatest common divisor of the degrees of G, and G has an F -decomposition if the edges of G can be covered by edge-disjoint copies of F . We ext...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1977
ISSN: 0095-8956
DOI: 10.1016/0095-8956(77)90065-x