完美单元 Cayley 图的完整分类

arXiv - MATH - Rings and Algebras Pub Date : 2024-09-03 DOI:arxiv-2409.01922

Ján Mináč, Tung T. Nguyen, Nguyen Duy Tân

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引用次数: 0

摘要

由于其优雅而简单的性质，单元 Cayley 图一直是文献中活跃的研究课题。这些图与数论、有限代数、表示理论和图论等多个数学分支有着天然的联系。在本文中，我们将研究这些图的完备性属性。更确切地说，我们提供了与有限环相关的完美单元 Cayley 图的完整分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A complete classification of perfect unitary Cayley graphs

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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arXiv - MATH - Rings and Algebras

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