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Note

This documents the development version of NetworkX. Documentation for the current release can be found here.

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networkx.algorithms.euler.has_eulerian_path

has_eulerian_path(G)

Return True iff G has an Eulerian path.

An Eulerian path is a path in a graph which uses each edge of a graph exactly once.

A directed graph has an Eulerian path iff:

• at most one vertex has out_degree - in_degree = 1,

• at most one vertex has in_degree - out_degree = 1,

• every other vertex has equal in_degree and out_degree,

• and all of its vertices with nonzero degree belong to a

• single connected component of the underlying undirected graph.

An undirected graph has an Eulerian path iff:

• exactly zero or two vertices have odd degree,

• and all of its vertices with nonzero degree belong to a

• single connected component.

Parameters

G (NetworkX Graph) – The graph to find an euler path in.

Returns

Bool

Return type

True if G has an eulerian path.

See also

is_eulerian(), eulerian_path()