Reconstructing a generalized quadrangle with a hemisystem from a 4-class association scheme

Autor: Giusy Monzillo
Rok vydání: 2022
Předmět:
Zdroj: Discrete Mathematics. 345:112875
ISSN: 0012-365X
DOI: 10.1016/j.disc.2022.112875
Popis: In 2013, van Dam, Martin and Muzychuk constructed a cometric $Q-$ antipodal $4-$class association scheme from a GQ of order $(t^2,t)$, $t$ odd, which have a hemisystem. In this paper we characterize this scheme by its Krein array. The techniques which are used involve the triple intersection numbers introduced by Coolsaet and Juri\v{s}i\'c.
Databáze: OpenAIRE