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math.CO2022
Reconstructing a generalized quadrangle from the Penttila-Williford class association scheme
Giusy Monzillo, Alessandro Siciliano
Penttila and Williford constructed a class association scheme from a generalized quadrangle with a doubly subtended subquadrangle. We show that an association scheme with appro…
math.CO2022
Reconstructing a generalized quadrangle with a hemisystem from a class association scheme
Giusy Monzillo
In 2013, van Dam, Martin and Muzychuk constructed a cometric antipodal class association scheme from a GQ of order , odd, which have a hemisystem. In this pap…
math.CO2022
Classification of flocks of the quadratic cone in PG(3,64)
Giusy Monzillo, Tim Penttila, Alessandro Siciliano
Flocks are an important topic in the field of finite geometry, with many relations with other objects of interest. This paper is a contribution to the difficult problem of classify…