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Published in:   Vol. 2 Issue 1 Date of Publication:   June 2013

A Cyclic Coloring of Central Graph of Gear Graph Families

R.Arundhadhi,K.Thirusangu

Page(s):   75-77 ISSN:   2278-2397
DOI:   10.20894/IJCOA.101.002.001.020 Publisher:   Integrated Intelligent Research (IIR)

An acyclic coloring of a graph G is a proper vertex coloring ( no two adjacent vertices of G have the same color) such that the induced sub graph of any two color classes is acyclic. The minimum number of colors required for acyclic coloring of a graph G is called as its acyclic chromatic number and is denoted by a(G). In this paper, we present the structure and coloring algorithm of central graph of Gear Graph Gn and we obtain the exact value of its acyclic chromatic number.