Construction of Association Scheme Using Some (123)-avoiding Class of Aunu Patterns

Abstract

This paper presents some backgrounds research on association scheme using a class of (123)-avoiding pattern of Aunu numbers as an application area. It also attempts to highlight some further applications in other set structures. The finding in this research has shown that there is some interrelationship between the succession scheme used in generating Aunu numbers and the
concept of association scheme. This research also shows us that the Aunu patterns can be used in design theory.