The Multiplicities of a Dual-thin Q-polynomial Association Scheme

Details The Multiplicities of a Dual-thin Q-polynomial Association Scheme The Multiplicities of a Dual-thin Q-polynomial Association Scheme

1999-07-12

arxiv.org/abs/math/9907079v1

Mathematics

Combinatorics

5 pages

Scientific paper

Let Y denote a symmetric association scheme which is Q-polynomial with respect to an ordering E_0,...,E_D of the primitive idempotents. Bannai and Ito conjectured that the associated sequence of multiplicities m_0,...,m_D is unimodal. We prove that if Y is dual-thin in the sense of Terwilliger, then the sequence of multiplicities satisfies m_i <= m_{i+1} and m_i <= m_{D-i} for i < D/2.

Affiliated with

Also associated with

No associations

Rating

The Multiplicities of a Dual-thin Q-polynomial Association Scheme does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Multiplicities of a Dual-thin Q-polynomial Association Scheme, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Multiplicities of a Dual-thin Q-polynomial Association Scheme will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-446401