On $Q$-polynomial association schemes of small class

Details On $Q$-polynomial association schemes of small class On $Q$-polynomial association schemes of small class

2012-02-25

arxiv.org/abs/1202.5627v1

Mathematics

Combinatorics

10 pages

Scientific paper

We show an inequality involving the third largest or second smallest dual
eigenvalues of $Q$-polynomial association schemes of class at least three. Also
we characterize dual-tight $Q$-polynomial association schemes of class three.
Our method is based on tridiagonal matrices and can be applied to
distance-regular graphs as well.

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