Cayley incidence graphs

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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Publication Details

Journal
Ars Mathematica Contemporanea
Published
2025-12-09
DOI
https://doi.org/10.26493/1855-3974.3510.a82
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00

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Cayley incidence graphs

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Cayley incidence graphs

Alexey Gordeev, Arnbjörg Soffía Árnadóttir, Tovohery Hajatiana Randrianarisoa, Sabrina Lato, Joannes Vermant
article en

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.

Ars Mathematica Contemporanea
Universidade Federal de Minas Gerais (BR), Umeå University (SE)
Kempe Foundation, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Knut och Alice Wallenbergs Stiftelse
Openalex Percentile: Top 53%
Finite Group Theory Research
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