Total, Equitable Total and Neighborhood sum distinguishing Total Colorings of Some Classes of Circulant Graphs

TL;DR

This paper determines the total, equitable total, and neighborhood sum distinguishing total chromatic numbers for certain classes of circulant graphs, advancing understanding of their coloring properties.

Contribution

It provides new results on the chromatic numbers for specific circulant graph classes, including equitable and neighborhood sum distinguishing variants.

Findings

Calculated total chromatic numbers for selected circulant graphs.

Established bounds for equitable total chromatic numbers.

Determined neighborhood sum distinguishing total chromatic numbers.

Abstract

In this paper, we have obtained the total chromatic as well as equitable and neighborhood sum distinguishing total chromatic numbers of some classes of the circulant graphs.