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JACIII Vol.27 No.1 pp. 101-104
doi: 10.20965/jaciii.2023.p0101
(2023)

Research Paper:

Acyclic Coloring of Certain Graphs

A. Berin Greeni and V. Vinitha Navis

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

Received:
June 30, 2022
Accepted:
September 3, 2022
Published:
January 20, 2023
Keywords:
acyclic chromatic number, generalized fan graph, generalized Möbius ladder graph, flower snark graph
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.

Cite this article as:
A. Greeni and V. Navis, “Acyclic Coloring of Certain Graphs,” J. Adv. Comput. Intell. Intell. Inform., Vol.27, No.1, pp. 101-104, 2023.
Data files:
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Last updated on Feb. 08, 2023