Abstract: We studied a class of interchange graph G(R^*，S^*),where R^*=(r₁,r₂),and S^*=(1,…,1).In this paper,we give a formula for the Wiener number of G(R^*，S^*) and the asymptotic property for the Wiener number of G(R^*，S^*).

Key words: interchange graph, (0,1) matrix, vector, diameter, Wiener number