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- W4311761374 abstract "The basic relations of an association scheme induce block designs in a natural way. There are many (commutative or non-commutative) association schemes in which some basic relations induce partial geometric designs or 2-designs. In this paper we study how the algebraic structures of association schemes determine partial geometric designs. We will first establish a necessary and sufficient condition under which some basic relations of an association scheme induce partial geometric designs. Then by using the representation theory of association schemes, we will show that the parameters of these partial geometric designs have some special properties. We will also use the characters of commutative association schemes to determine which basic relations induce partial geometric designs or 2-designs. Isomorphisms of partial geometric designs will also be discussed." @default.
- W4311761374 created "2022-12-28" @default.
- W4311761374 creator A5074116650 @default.
- W4311761374 date "2023-03-01" @default.
- W4311761374 modified "2023-10-10" @default.
- W4311761374 title "Partial geometric designs arising from association schemes" @default.
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- W4311761374 doi "https://doi.org/10.1016/j.ejc.2022.103658" @default.
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