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arXiv · 2408.14382

Equitable Dominator Coloring of Line Graphs of Some Graphs

Phebe Sarah George·Sudev Naduvath
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Abstract

A proper vertex coloring of the graph G such that each vertex dominates at least one color class and the cardinalities of the color classes differ by at most 1 is called an equitable dominator coloring of G. The minimum number of colors used in this coloring is called the equitable dominator chromatic number (EDCN), represented by χ_{ed}(G). This article explores the concept of equitable dominator coloring for the line graph L(G) of some graph classes.

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BibTeXRIS

Phebe Sarah George, Sudev Naduvath. 2026-07-23. Equitable Dominator Coloring of Line Graphs of Some Graphs. https://arxiv.org/abs/2408.14382

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