hamiltonian_path¶

hamiltonian_path(G)[source]¶

Returns a Hamiltonian path in the given tournament graph.

Each tournament has a Hamiltonian path. If furthermore, the tournament is strongly connected, then the returned Hamiltonian path is a Hamiltonian cycle (by joining the endpoints of the path).

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

Notes

This is a recursive implementation with an asymptotic running time of O(n^2), ignoring multiplicative polylogarithmic factors, where n is the number of nodes in the graph.