Mathematics > Combinatorics
[Submitted on 3 Sep 2024
]
Title: A complete classification of perfect unitary Cayley graphs
Title: 完美酉Cayley图的完整分类
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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