An excess theorem for spherical 2-designs

2012/03/15 by Kurihara, Hirotake
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1203.3257

Abstract

We give an excess theorem for spherical 2-designs. This theorem is a dual version of the spectral excess theorem for graphs, which gives a characterization of distance-regular graphs, among regular graphs in terms of the eigenvalues and the excess. Here we give a characterization of Q-polynomial association schemes among spherical 2-designs.

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