Tournament

Functions concerning tournament graphs.

A tournament graph is a complete oriented graph. In other words, it is a directed graph in which there is exactly one directed edge joining each pair of distinct nodes. For each function in this module that accepts a graph as input, you must provide a tournament graph. The responsibility is on the caller to ensure that the graph is a tournament graph.

To access the functions in this module, you must access them through the networkx.algorithms.tournament module:

>>> import networkx as nx
>>> from networkx.algorithms import tournament
>>> G = nx.DiGraph([(0, 1), (1, 2), (2, 0)])
>>> tournament.is_tournament(G)
True

hamiltonian_path(G)

Returns a Hamiltonian path in the given tournament graph.

is_reachable(G, s, t)

Decides whether there is a path from s to t in the tournament.

is_strongly_connected(G)

Decides whether the given tournament is strongly connected.

is_tournament(G)

Returns True if and only if G is a tournament.

random_tournament(n[, seed])

Returns a random tournament graph on n nodes.

score_sequence(G)

Returns the score sequence for the given tournament graph.