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- Title
A survey on association schemes on triples.
- Authors
Balmaceda, Jose Maria P.; Briones, Dom Vito A.
- Abstract
Association schemes on triples (ASTs) are ternary analogues of classical association schemes, whose relations and adjacency algebras are ternary instead of binary. We provide a survey of the current progress in the study of ASTs, highlighting open questions, suggesting research directions, and producing some related results. We review properties of the ternary adjacency algebras of ASTs, ASTs whose relations are invariant under some group action, and ASTs obtained from 2-designs and two-graphs. We also provide a notion of fusion and fission ASTs, using the AST obtained from the affine special linear group ASL(2, q) as an example.
- Subjects
RELATION algebras; OPEN-ended questions; ALGEBRA; GROUP actions (Mathematics)
- Publication
Electronic Journal of Graph Theory & Applications, 2023, Vol 11, Issue 1, p15
- ISSN
2338-2287
- Publication type
Article
- DOI
10.5614/ejgta.2023.11.1.2