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arXiv · 2409.01922

A complete classification of perfect unitary Cayley graphs

Ján Mináč·Tung T. Nguyen·Nguyen Duy Tân
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Abstract

Due to their elegant and simple nature, unitary Cayley graphs have been an active research topic in the literature. These graphs are naturally connected to several branches of mathematics, including number theory, finite algebra, representation theory, and graph theory. In this article, we study the perfectness property of these graphs. More precisely, we provide a complete classification of perfect unitary Cayley graphs associated with finite rings.

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Ján Mináč, Tung T. Nguyen, Nguyen Duy Tân. 2024-09-03. A complete classification of perfect unitary Cayley graphs. https://arxiv.org/abs/2409.01922

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