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On $Q$-Polynomial Association Schemes of Small Class
2012
Electronic Journal of Combinatorics
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.
doi:10.37236/2157
fatcat:txbectt3qfh7pldvq5gcf6qbyi