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arXiv · 2401.06062

On prime Cayley graphs

Maria Chudnovsky·Michal Cizek·Logan Crew·Ján Mináč·Tung T. Nguyen·Sophie Spirkl·Nguyên Duy Tân
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Abstract

The decomposition of complex networks into smaller, interconnected components is a central challenge in network theory with a wide range of potential applications. In this paper, we utilize tools from group theory and ring theory to study this problem when the network is a Cayley graph. In particular, we answer the following question: Which Cayley graphs are prime?

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Maria Chudnovsky, Michal Cizek, Logan Crew, Ján Mináč, Tung T. Nguyen, Sophie Spirkl, Nguyên Duy Tân. 2024-01-11. On prime Cayley graphs. https://doi.org/10.4310/joc.260210032550

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