Published In
The Electronic Journal of Combinatorics
Document Type
Article
Publication Date
1-2001
Subjects
Combinatorial analysis, Associative algebras
Abstract
Let Y=(X,{Ri}1≤i≤D) denote a symmetric association scheme, and assume that Y is Q-polynomial with respect to an ordering E0,...,ED of the primitive idempotents. Bannai and Ito conjectured that the associated sequence of multiplicities mi (0≤i≤D) of Yis unimodal. Talking to Terwilliger, Stanton made the related conjecture that mi≤mi+1 and mi≤mD−i for i<D/2. We prove that if Y is dual-thin in the sense of Terwilliger, then the Stanton conjecture is true.
Persistent Identifier
http://archives.pdx.edu/ds/psu/10277
Citation Details
B.E. Sagan, J.S. Caughman IV. The multiplicities of a dual-thin Q -polynomial association scheme. Electron. J. Comb., 8 , Note 4 (2001), p. 5
Description
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