and d−v are the outdegree and indegree respectively of v and n is the number of vertices in D. The set of distinct scores of the vertices in an oriented graph D is called its score set. If a > 0 and d > 1 are positive integers, we show there exists an oriented graph with score set {a, ad, ad, . . . , ad} except for a = 1, d = 2, n > 0, and for a = 1, d = 3, n > 0. It is also shown that there ex...