English

On a correspondence between maximal cliques in Paley graphs of square order

Combinatorics 2022-04-15 v3 Complex Variables

Abstract

Let qq be an odd prime power. Denote by r(q)r(q) the value of qq modulo 4. In this paper, we establish a linear fractional correspondence between two types of maximal cliques of size q+r(q)2\frac{q+r(q)}{2} in the Paley graph of order q2q^2.

Keywords

Cite

@article{arxiv.2102.03822,
  title  = {On a correspondence between maximal cliques in Paley graphs of square order},
  author = {Sergey Goryainov and Alexander Masley and Leonid Shalaginov},
  journal= {arXiv preprint arXiv:2102.03822},
  year   = {2022}
}