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Article
The Multiplicities of a Dual-thin Q-polynomial Association Scheme
The Electronic Journal of Combinatorics
  • Bruce E. Sagen, Michigan State University
  • John S. Caughman, IV, Portland State University
Document Type
Article
Publication Date
1-1-2001
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
Description

This is the publisher's final PDF. This article was originally published in The Electronic Journal of Combinatorics (http://www.combinatorics.org/ojs/index.php/eljc/index)

Persistent Identifier
http://archives.pdx.edu/ds/psu/10277
Citation Information
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