Author(s)

P. Shanasbabu, A. V. Chithra

Department of Mathematics, National Institute of Technology, Calicut, India.

A proper edge colouring f of a graph G is called acyclic if there are no bichromatic cycles in the graph. The acyclic edge chromatic number or acyclic chromatic index, denoted by , is the minimum number of colours in an acyclic edge colouring of G. In this paper, we discuss the acyclic edge colouring of middle, central, total and line graphs of prime related star graph families. Also exact values of acyclic chromatic indices of such graphs are derived and some of their structural properties are discussed.

Acyclic Edge Colouring, Acyclic Chromatic Index, Middle Graph, Central Graph, Total Graph, Line Graph

Shanasbabu, P. and Chithra, A. (2015) A Note on Acyclic Edge Colouring of Star Graph Families. American Journal of Computational Mathematics, 5, 253-257. doi: 10.4236/ajcm.2015.53022.