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ON 4-EQUIVALENCED ASSOCIATION SCHEMES

박정례
대한수학회 (The Korean Mathematical Society)|2015.09|대한수학회보 (Bulletin of the KMS)|제52권 제5호|pp. 1683-1709

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참고문헌

키워드

transitiveassociation schemesequivalencedFrobeniusschurian
주제분류수학

초록

Let (Ω,S) be an association scheme where Ω is a non-empty finite set and S is a partition of Ω×Ω. For a positive integer k we say that (Ω,S) is k-equivalenced if each non-diagonal element of S has valency k. In this paper we focus on 4-equivalenced association schemes, and prove that they are transitive.

Abstract

Let (Ω,S) be an association scheme where Ω is a non-empty finite set and S is a partition of Ω×Ω. For a positive integer k we say that (Ω,S) is k-equivalenced if each non-diagonal element of S has valency k. In this paper we focus on 4-equivalenced association schemes, and prove that they are transitive.

참고문헌 (12)

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  7. "Classification of association schemes with small vertices"[URL]
  8. M. Hirasaka, "Every 3-equivalenced association scheme is Frobenius", J. Algebraic Combin, 41(1), pp.217~228 (2015)
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  11. P.-H. Zieschang, "An algebraic approach to association schemes", Lecture Notes in Math-ematics, 1628 (1996), Springer-Verlag
  12. P.-H. Zieschang, "Theory of Association Schemes, Springer Monograph in Mathematics" (2005), Springer-Verlag

관련 논문AI추천

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