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1. Nonexistence of exceptional 5-class association schemes with two Q-polynomial structures.

Author

Ma, Jianmin and Wang, Kaishun

Subjects
*EXISTENCE theorems, *ASSOCIATION schemes (Combinatorics), *SET theory, *POLYNOMIALS, *MATHEMATICAL analysis, *NUMERICAL analysis
Abstract

Abstract: In Suzuki (1998) [7] Suzuki gave a classification of association schemes with multiple Q-polynomial structures, allowing for one exceptional case which has five classes. In this paper, we rule out the existence of this case. Hence Suzukiʼs theorem mirrors exactly the well-known counterpart for association schemes with multiple P-polynomial structures, a result due to Eiichi Bannai and Etsuko Bannai in 1980. [Copyright &y& Elsevier]

Published
2014
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