Some bounds for the distribution numbers of an association scheme (Q1103621)

The author defines the concept of distribution numbers of an association scheme. Furthermore he gives upper and lower bounds on the distribution numbers. The lower bound is obtained only for the case that the automorphism group of the association scheme is transitive. The paper ends with giving two examples having ``nontrivial'' distribution numbers. This paper is the first of three papers published on this subject and serves as an introduction to the other two. [For the other two papers see the following two reviews.]