A modular absolute bound condition for primitive association schemes

Details A modular absolute bound condition for primitive association schemes A modular absolute bound condition for primitive association schemes

2007-09-29

arxiv.org/abs/0710.0044v1

Mathematics

Combinatorics

12 pages

Scientific paper

The well-known absolute bound condition for a primitive symmetric association scheme (X,S) gives an upper bound for |X| in terms of |S| and the minimal non-principal multiplicity of the scheme. In this paper we prove another upper bounds for |X| for an arbitrary primitive scheme (X,S). They do not depend on |S| but depend on some invariants of its adjacency algebra KS where K is an algebraic number field or a finite field.

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