Article ID Journal Published Year Pages File Type
5777112 Electronic Notes in Discrete Mathematics 2017 7 Pages PDF
Abstract

For an edge-colored graph G, the minimum color degree of G means the minimum number of colors on edges which are incident to each vertex of G. We prove that if G is an edge-colored graph with minimum color degree at least 5 then V (G) can be partitioned into two parts such that each part induces a subgraph with minimum color degree at least 2. We show this theorem by proving a much stronger form. Moreover, we point out an important relationship between our theorem and Bermond-Thomassen's conjecture in digraphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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