The Dynamic Coloring Numbers of Pseudo-Halin Graphs

Xianyong Meng1, Lianying Miao2, Bentang Su1, Rensuo Li1
1College of Information Science and| Engineering, Shandong Agriculture University, Taian, Shandong, 27100, China
2College of Science, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, China

Abstract

In this paper, we have discussed the dynamic coloring of a kind of planar graph. Let \(G\) be a Pseudo-Halin graph, we prove that the dynamic chromatic number of \(G\) is at most \(4\). Examples are given to show the bounds can be attained.