Andries E. Brouwer

collaborators

4 papers

math.CO2025

Cliques in Paley graphs of square order and in Peisert graphs

Andries E. Brouwer, Sergey Goryainov, Leonid Shalaginov +1

We study maximal cliques in the collinearity graphs of Desarguesian nets, give some structural results and some numerical information. In particular, we show for Desarguesian nets…

math.CO2024

A construction of directed strongly regular graphs with parameters (63,11,8,1,2)

Andries E. Brouwer, Dean Crnković, Andrea Švob

In this paper, we prove the existence of directed strongly regular graphs with parameters $(63, 11, 8, 1, 2)$ . We construct a pair of nonisomorphic dsrg(63,11,8,1,2), where one is obta…

math.CO2023

Some locally Kneser graphs

A. E. Brouwer

The Kneser graph $K (n, d)$ is the graph on the $d$ -subsets of an $n$ -set, adjacent when disjoint. Clearly, $K (n + d, d)$ is locally $K (n, d)$ . Hall showed for $n \geq 3 d + 1$ that there ar…

math.CO2022

The equivalence of two inequalities for quasisymmetric designs

A. E. Brouwer

It has been an open problem whether Hobart's inequality on the parameters of a quasisymmetric 2-design is independent of earlier known restrictions. In this note we show that it is…