is_tournament

is_tournament(G)[source]

Returns True if and only if G is a tournament.

A tournament is a directed graph, with neither self-loops nor multi-edges, in which there is exactly one directed edge joining each pair of distinct nodes.

Parameters:G (NetworkX graph) – A directed graph representing a tournament.
Returns:Whether the given graph is a tournament graph.
Return type:bool

Notes

Some definitions require a self-loop on each node, but that is not the convention used here.