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arXiv · 2411.19428

Cayley Incidence Graphs

Arnbjörg Soffía Árnadóttir·Alexey Gordeev·Sabrina Lato·Tovohery Randrianarisoa·Joannes Vermant
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Abstract

Evra, Feigon, Maurischat, and Parzanchevski (2023) introduced a biregular extension of Cayley graphs. In this paper, we reformulate their definition and provide some basic properties. We also show how these Cayley incidence graphs relate to various notions of Cayley hypergraphs. We further establish connections between Cayley incidence graphs and certain geometric and combinatorial structures, including coset geometries, difference sets and cages.

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Arnbjörg Soffía Árnadóttir, Alexey Gordeev, Sabrina Lato, Tovohery Randrianarisoa, Joannes Vermant. 2024-11-29. Cayley Incidence Graphs. https://arxiv.org/abs/2411.19428

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