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Deciding football sequences. (English) Zbl 1305.05088
Summary: An open problem posed by the first author is the complexity to decide whether a sequence of nonnegative integer numbers can be the final score of a football tournament. In this paper we propose polynomial time approximate and exponential time exact algorithms which solve the problem.

05C20 Directed graphs (digraphs), tournaments
05C85 Graph algorithms (graph-theoretic aspects)
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