On \(Q\)-polynomial association schemes of small class
The electronic journal of combinatorics, Tome 19 (2012) no. 1
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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
Classification : 05E30, 05C12, 05B30
Mots-clés : distance-regular graph, Q-polynomial association scheme

Sho Suda  1

1 Tohoku University
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     author = {Sho Suda},
     title = {On {\(Q\)-polynomial} association schemes of small class},
     journal = {The electronic journal of combinatorics},
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Sho Suda. On \(Q\)-polynomial association schemes of small class. The electronic journal of combinatorics, Tome 19 (2012) no. 1. doi: 10.37236/2157

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