English

Neumaier Cayley graphs

Combinatorics 2023-08-23 v1

Abstract

A Neumaier graph is a non-complete edge-regular graph with the property that it has a regular clique. In this paper, we study Neumaier Cayley graphs. We give a necessary and sufficient condition under which a Neumaier Cayley graph is a strongly regular Neumaier Cayley graph. We also characterize Neumaier Cayley graphs with small valency at most 1010.

Keywords

Cite

@article{arxiv.2308.11572,
  title  = {Neumaier Cayley graphs},
  author = {Mojtaba Jazaeri},
  journal= {arXiv preprint arXiv:2308.11572},
  year   = {2023}
}

Comments

17 pages, 1 figure

R2 v1 2026-06-28T12:01:40.834Z