The association scheme on the set of flags of a finite generalized quadrangle
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.03942
- arXiv:
- arXiv:2406.03942
- Bibcode:
- 2024arXiv240603942C
- Keywords:
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- Mathematics - Combinatorics
- E-Print:
- Discrete Mathematics Volume 347, Issue 7, July 2024, 114054