Star edge-coloring of some special graphs

10/27/2020

∙

by   Xuling Hou, et al.

∙

0

∙

share

The star chromatic index of a multigraph G, denoted by χ_star'(G), is the minimum number of colors needed to properly color the edges of G such that no path or cycle of length 4 is bicolored. In this paper, we study the star edge-coloring of Halin graphs, k-power graphs and the generalized Petersen graphs P(3n, n).