Cayley Incidence Graphs
Combinatorics
2024-12-02 v1
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.
Keywords
Cite
@article{arxiv.2411.19428,
title = {Cayley Incidence Graphs},
author = {Arnbjörg Soffía Árnadóttir and Alexey Gordeev and Sabrina Lato and Tovohery Randrianarisoa and Joannes Vermant},
journal= {arXiv preprint arXiv:2411.19428},
year = {2024}
}
Comments
35 pages, 2 figures