Star edge-coloring of some special graphs

Abstract

The star chromatic index of a multigraph G, denoted by 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).

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