On \(Q\)-polynomial association schemes of small class
The electronic journal of combinatorics, Tome 19 (2012) no. 1
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
Mots-clés : distance-regular graph, Q-polynomial association scheme
Affiliations des auteurs :
Sho Suda  1
@article{10_37236_2157,
author = {Sho Suda},
title = {On {\(Q\)-polynomial} association schemes of small class},
journal = {The electronic journal of combinatorics},
year = {2012},
volume = {19},
number = {1},
doi = {10.37236/2157},
zbl = {1244.05237},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2157/}
}
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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