图的树分解

R. Yuster
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引用次数: 14

摘要

设H是有H≥2个顶点的树。证明了如果G=(V, E)是一个具有\delta (G) \ge (|V|/2)+10h^4 \sqrt{|V|\log|V|}的图,且h−1除|E|,则G的边被分解为h的副本,此结果对于所有至少有三个顶点的树是渐近的最佳可能。©1998 John Wiley & Sons, Inc随机结构。好的。中文信息学报,12,237-251,1998
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Tree decomposition of graphs
Let H be a tree on h≥2 vertices. It is shown that if G=(V, E) is a graph with \delta (G)\ge (|V|/2)+10h^4\sqrt{|V|\log|V|}, and h−1 divides |E|, then there is a decomposition of the edges of G into copies of H. This result is asymptotically the best possible for all trees with at least three vertices. © 1998 John Wiley & Sons, Inc. Random Struct. Alg., 12, 237–251, 1998
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