Association Schemes with Multiple Q-polynomial Structures

Authors:
Hiroshi Suzuki
Affiliations:
Department of Mathematics, International Christian University, 10-2, Osawa 3-chome, Mitaka-shi Tokyo 181, Japan. E-mail: hsuzuki@icu.ac.jp
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
1998

Citing 3
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A characterization of P- and Q-polynomial association schemes

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A note on association schemes with two P-polynomial structures of type III

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Imprimitive Q-polynomial Association Schemes

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Non-existence of imprimitive Q-polynomial schemes of exceptional type with d=4

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There are finitely many Q-polynomial association schemes with given first multiplicity at least three

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Commutative association schemes

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On the equivalence between real mutually unbiased bases and a certain class of association schemes

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A characterization of Q-polynomial association schemes

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Abstract

It is well known that an association scheme \cX = (X,\{R_i\}_{0\leq i\leq d}) with k_1 2 has at most two P-polynomial structures. The parametrical condition for an association scheme to have two P-polynomial structures is also known.In this paper, we give a similar result for Q-polynomial association schemes. In fact, if d5, then we obtain exactly the same parametrical conditions for the dual intersection numbers or Krein parameters.