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arXiv · 2406.03942

The association scheme on the set of flags of a finite generalized quadrangle

Francesco Colangelo·Giusy Monzillo·Alessandro Siciliano
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Abstract

In this paper, the association scheme defined on the flags of a finite generalized quadrangle is considered. All possible fusions of this scheme are listed, and a full description for those of classes 2 and 3 is given. Furthermore, it is showed that an association scheme with appropriate parameters must arise from the flags of a generalized quadrangle. The same is done for one of its 4-class symmetric fusion.

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Francesco Colangelo, Giusy Monzillo, Alessandro Siciliano. 2024-06-06. The association scheme on the set of flags of a finite generalized quadrangle. https://doi.org/10.1016/j.disc.2024.114054

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