Note

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

Components

Connectivity

is_connected(G)

Returns True if the graph is connected, False otherwise.

number_connected_components(G)

Returns the number of connected components.

connected_components(G)

Generate connected components.

node_connected_component(G, n)

Returns the set of nodes in the component of graph containing node n.

Strong connectivity

is_strongly_connected(G)

Test directed graph for strong connectivity.

number_strongly_connected_components(G)

Returns number of strongly connected components in graph.

strongly_connected_components(G)

Generate nodes in strongly connected components of graph.

strongly_connected_components_recursive(G)

Generate nodes in strongly connected components of graph.

kosaraju_strongly_connected_components(G[, …])

Generate nodes in strongly connected components of graph.

condensation(G[, scc])

Returns the condensation of G.

Weak connectivity

is_weakly_connected(G)

Test directed graph for weak connectivity.

number_weakly_connected_components(G)

Returns the number of weakly connected components in G.

weakly_connected_components(G)

Generate weakly connected components of G.

Attracting components

is_attracting_component(G)

Returns True if G consists of a single attracting component.

number_attracting_components(G)

Returns the number of attracting components in G.

attracting_components(G)

Generates the attracting components in G.

Biconnected components

is_biconnected(G)

Returns True if the graph is biconnected, False otherwise.

biconnected_components(G)

Returns a generator of sets of nodes, one set for each biconnected component of the graph

biconnected_component_edges(G)

Returns a generator of lists of edges, one list for each biconnected component of the input graph.

articulation_points(G)

Yield the articulation points, or cut vertices, of a graph.

Semiconnectedness

is_semiconnected(G[, topo_order])

Returns True if the graph is semiconnected, False otherwise.