Geodesic
Association schemes with multiple Q-polynomial structures
Journal of Algebraic Combinatorics, Tome 7 (1998) no. 2, pp. 181-196.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: It is well known that an association scheme $X = ( X,{ R _{ i} } _{0 \leqslant i \leqslant d} )$ mathcalX = (X,{ R_i } _$0 \leqslant i \leqslant d$ ) with " align="middle" border="0"> 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 #
Keywords: Q-polynomial, association scheme, multiple Q-polynomial structure, Kreĭn parameter, distance-regular graph, integrality of eigenvalue 
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     author = {Suzuki, Hiroshi},
     title = {Association schemes with multiple {Q-polynomial} structures},
     journal = {Journal of Algebraic Combinatorics},
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     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1998__7_2_a1/}
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Suzuki, Hiroshi. Association schemes with multiple Q-polynomial structures. Journal of Algebraic Combinatorics, Tome 7 (1998) no. 2, pp. 181-196. http://geodesic.mathdoc.fr/item/JAC_1998__7_2_a1/