Abstract
The set S of distinct scores (outdegrees) of the vertices of a k- partite tournament T(X1,X2,···,Xk) is called its score set. In this paper, we prove that every set of n non-negative integers, except {0} and {0, 1}, is a score set of some 3-partite tournament. We also prove that every set of n non-negative integers is a score set of some k-partite tournament for every n k 2.
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