Geodesic
A note on thin $P$-polynomial and dual-thin $Q$-polynomial symmetric association schemes
Journal of Algebraic Combinatorics, Tome 7 (1998) no. 1, pp. 5-15.

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

Summary: Let Y denote a d-class symmetric association scheme, with d $ge$ 3. We show the following: If Y admits a P-polynomial structure with intersection numbers p $_{ij} ^{h}$ and Y is 1-thin with respect to at least one vertex, then p $_{ll} ^{l} =0rarr$ p $_{li} ^{i} =0 1le$ i $le$ - 1. If Y admits a Q-polynomial structure with Krein parameters q $_{ij} ^{h}$ , and Y is dual 1-thin with respect to at least one vertex, then q $_{ll} ^{l} = 0rarr$ q $_{li} ^{i} = 01le$ i $le$ d-1.
Keywords: association scheme, distance-regular graph, intersection number, Q-polynomial 
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     author = {Dickie, Garth A. and Terwilliger, Paul M.},
     title = {A note on thin $P$-polynomial and dual-thin $Q$-polynomial symmetric association schemes},
     journal = {Journal of Algebraic Combinatorics},
     pages = {5--15},
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     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_1998__7_1_a5/}
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Dickie, Garth A.; Terwilliger, Paul M. A note on thin $P$-polynomial and dual-thin $Q$-polynomial symmetric association schemes. Journal of Algebraic Combinatorics, Tome 7 (1998) no. 1, pp. 5-15. http://geodesic.mathdoc.fr/item/JAC_1998__7_1_a5/