English

Edge-regular graphs with regular cliques

Combinatorics 2018-04-03 v2

Abstract

We exhibit infinitely many examples of edge-regular graphs that have regular cliques and that are not strongly regular. This answers a question of Neumaier from 1981.

Keywords

Cite

@article{arxiv.1708.05977,
  title  = {Edge-regular graphs with regular cliques},
  author = {Gary R. W. Greaves and Jack H. Koolen},
  journal= {arXiv preprint arXiv:1708.05977},
  year   = {2018}
}

Comments

11 pages; accepted to the European Journal of Combinatorics

R2 v1 2026-06-22T21:18:53.690Z