A tournament sequence is an increasing sequence of positive integers (t1, t2, . . .) such that t1 = 1 and ti+1 2ti. A Meeussen sequence is an increasing sequence of positive inte...
Given a tournament score sequence s1 ≥ s2 ≥ · · · ≥ sn, we prove that there exists a tournament T on vertex set {1, 2, . . . , n} such that the degree of any vertex i is ...
It is now known that many properties of the objects in certain combinatorial structures are equivalent, in the sense that any object possessing any of the properties must of neces...
Abstract. This paper considers all the variants of the traveling tournament prob) proposed in [17, 7] to abstract the salient features of major league baseball (MLB) in the United ...
Let a, b and n be nonnegative integers (b a, b > 0, n 1), Gn(a, b) be a multigraph on n vertices in which any pair of vertices is connected with at least a and at most b edges ...