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Main Authors:	Colangelo, Francesco, Monzillo, Giusy, Siciliano, Alessandro
Format:	Preprint
Published:	2024
Subjects:	Combinatorics
Online Access:	https://arxiv.org/abs/2406.03942
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author	Colangelo, Francesco Monzillo, Giusy Siciliano, Alessandro
author_facet	Colangelo, Francesco Monzillo, Giusy Siciliano, Alessandro
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2406_03942
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	The association scheme on the set of flags of a finite generalized quadrangle Colangelo, Francesco Monzillo, Giusy Siciliano, Alessandro Combinatorics 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.
title	The association scheme on the set of flags of a finite generalized quadrangle
topic	Combinatorics
url	https://arxiv.org/abs/2406.03942

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

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