标题：Decomposing edge-coloured graphs under colour degree constraints
作者：Fujita, Shinya ;Li, Ruonan ;Wang, Guanghui
作者机构：[Fujita, Shinya ] School of Date Science, Yokohama City University, 22-2, Seto, Kanazawa-ku, Yokohama; 236-0027, Japan;[Wang, Guanghui ] School of Mat 更多
通讯作者地址：[Wang, G] School of Mathematics, Shandong UniversityChina;
来源：Combinatorics Probability and Computing
关键词：05C15; 05C20; 2010 MSC Codes:
摘要：For an edge-coloured graph G, the minimum colour degree of G means the minimum number of colours on edges which are incident to each vertex of G. We prove that if G is an edge-coloured graph with minimum colour degree at least 5, then V(G) can be partitioned into two parts such that each part induces a subgraph with minimum colour degree at least 2. We show this theorem by proving amuch stronger form. Moreover, we point out an important relationship between our theorem and Bermond and Thomassen's conjecture in digraphs. © Cambridge University Press 2019.