A characterization of the group association scheme of An

Abstract

In this paper, we investigate a certain fusion scheme $\tilde{\mathcal{X}}\left(A_n\right)$ of the group association scheme $\mathcal{X}\left(A_n\right)$ of the alternating group of arbitrary degree $n$. In particular, under some extra assumption on 'geometry of maximal cliques', we characterize $\tilde{\mathcal{X}}\left(A_n\right)$ by parameters.