Math 2.0

Concept

Tournament (graph theory)

Summary

In graph theory, a tournament is a directed graph with exactly one edge between each two vertices, in one of the two possible directions. Equivalently, a tournament is an orientation of an undirected complete graph. (However, as directed graphs, tournaments are not complete: complete directed graphs have two edges, in both directions, between each two vertices.) Equivalently, a tournament is a complete asymmetric relation.

Further reading

  1. Wikipedia, page 1427502, revision 1372005031, Tournament (graph theory). adopted
About this page
TagM2F9TN9MW5
URIm2://M2F9TN9MW5
Aliasesdirected-complete-graph, tournament-mathematics, tournament-graph, transitive-tournament
Kindconcept
WritingW1 stated
Same as
Changed4 November 2026

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