# Tournaments

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A round-robin tournament is a competition in which each competitor plays every opponent exactly once. Mathematically, a (labeled) tournament is a directed complete graph: the labeled vertices represent the competitors, and a directed edge from vertex to vertex indicates that competitor has defeated competitor . Traditionally it is assumed that ties are not permitted, so that each edge in the directed graph goes in exactly one direction.

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Contributed by: Marc Brodie (Wheeling Jesuit University) (March 2011)

Open content licensed under CC BY-NC-SA

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