Acyclic Coloring of Certain Graphs

Author:

Greeni A. Berin1ORCID,Navis V. Vinitha1ORCID

Affiliation:

1. School of Advanced Sciences, Vellore Institute of Technology, Vandalur, Kelambakkam Road, Chennai 600127, India

Abstract

A graph G with acyclic coloring has no two adjacent vertices with the same color and no bichromatic cycle. Also, the coloring results in a forest when any two-color classes are combined. The concept of acyclic coloring plays a pivotal role in the computation of Hessians, Kekule structures classification, coding theory, and statistical mechanics. In this paper, the acyclic chromatic number of generalized fan graph, generalized Möbius ladder graph and flower snark graph have been determined.

Publisher

Fuji Technology Press Ltd.

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Human-Computer Interaction

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