We consider a rank 112 coherent configuration S= AP (2) on 28 points with 7 fibers of size 4.
We describe S both axiomatically and as a model arising via the regular action of E8 on the …

Let (X, S) be a p-scheme of order p3 and T the thin residue of S. Assuming that T has
valency p2, one of the following holds:(i)| T|= p2 and [Formula: see text];(ii)| T|= p2 and T≃ …

Association schemes in which the thin residue is an elementary abelian p-group of rank 2 -
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Within the class of hypergroups (in the sense of [8]) we consider a specific class of
hypergroups the members of which we call solvable. Our definition of solvable hypergroups …

The present text is an introduction to the theory of hypergroups. We start with the definition of
a hyperoperation. By a hyperoperation on a set S we mean a map from the cartesian product …

In [P.-H. Zieschang, Association schemes in which the thin residue is a finite cyclic group, J.
Algebra 324 (2010) 3572–3578], it was shown that association schemes are schurian if their …

The structure of Terwilliger algebras of wreath products by thin schemes or one-class
schemes was studied in [A. Hanaki, K. Kim, Y. Maekawa, Terwilliger algebras of direct and …

This thesis addresses the extent of the covering graph construction. How much must a cover
X resemble the graph Y that it covers? How much can X deviate from Y? The main statistics …

Let G be a group acting on a finite set Ω. Then G acts on Ω× Ω by its entry-wise action and its
orbits form the basis relations of a coherent configuration (or shortly scheme). Our concern is …

Every Hadamard matrix H of order n> 1 induces a graph with 4 n vertices, called the
Hadamard graph Γ (H) of H. Since Γ (H) is a distance-regular graph with diameter 4, it …