attracting_components

attracting_components(G)

Generates the attracting components in G.

An attracting component in a directed graph G is a strongly connected component with the property that a random walker on the graph will never leave the component, once it enters the component.

The nodes in attracting components can also be thought of as recurrent nodes. If a random walker enters the attractor containing the node, then the node will be visited infinitely often.

To obtain induced subgraphs on each component use: (G.subgraph(c).copy() for c in attracting_components(G))

Parameters

GDiGraph, MultiDiGraph

The graph to be analyzed.

Returns

attractorsgenerator of sets

A generator of sets of nodes, one for each attracting component of G.

Raises

NetworkXNotImplemented

If the input graph is undirected.

See also

number_attracting_components

is_attracting_component