Acyclic chromatic index of Cartesian product of graphs
نویسندگان
چکیده
A proper edge colouring of a graph is said to be acyclic if every cycle of G receives at least three colors. The acyclic chromatic index, denoted , is the least number of colors required for an acyclic edge color of . This paper shows an upper bound of the acyclic chromatic index of a class of graphs which can be expressed as the Cartesian product of some graphs. We also give exact values for some known classes of graphs like cylinders, tori, ─dimensional hypercubes and ─dimensional grids. G
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