An excess theorem for spherical 2-designs

Details An excess theorem for spherical 2-designs An excess theorem for spherical 2-designs

2012-03-15

arxiv.org/abs/1203.3257v1

Mathematics

Combinatorics

10 pages, no figure

Scientific paper

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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