English

Enumeration of strictly Deza graphs with at most 21 vertices

Combinatorics 2022-10-20 v4

Abstract

A Deza graph Γ\Gamma with parameters (v,k,b,a)(v,k,b,a) is a kk-regular graph with vv vertices such that any two distinct vertices have bb or aa common neighbours, where bab \ge a. A Deza graph of diameter 2 which is not a strongly regular graph is called a strictly Deza graph. We find all 139 strictly Deza graphs up to 21 vertices.

Keywords

Cite

@article{arxiv.2102.10624,
  title  = {Enumeration of strictly Deza graphs with at most 21 vertices},
  author = {Sergey Goryainov and Dmitry Panasenko and Leonid Shalaginov},
  journal= {arXiv preprint arXiv:2102.10624},
  year   = {2022}
}