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arXiv · 2508.01417

Power Graph Classes and Overfullness

Elie Feinsilber
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Abstract

In this paper, we investigate the edge-coloring number of the power graph of a finite group. We show that the power graph of a finite group $G$ is overfull if and only if the power graph of $G$ is of Class $2$ (has edge-coloring number one more than its maximum vertex degree) if and only if $G$ is a cyclic group of odd prime power order.

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Elie Feinsilber. 2025-08-02. Power Graph Classes and Overfullness. https://arxiv.org/abs/2508.01417

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