### 2-factor of edge colored graph

ZHANG Shuang1,2, ZHU Yan1*

1. 1. East China University of Science and Technology, Shanghai 200237, China;
2. Zhuhai Fourth Middle School, Zhuhai 519000, Guangdong, China
• Published:2021-01-05

Abstract: Let G be an edge colored graph. For a vertex x of G, the color neighborhood CN(x)of x is defined as the set {c(xy)|xy∈E(G), y∈V(G)}. G is properly colored if no adjacent edges have the same color. If every edge colored graph G has |CN(u)∪CN(v)|≥4n/3+8 for every pair of vertices u and v of V(G), the G contains a properly colored 2-factor.

CLC Number:

• O157.5
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