networkx.algorithms.connectivity.connectivity.all_pairs_node_connectivity¶

all_pairs_node_connectivity(G, nbunch=None, flow_func=None)[source]

Compute node connectivity between all pairs of nodes of G.

Parameters
• G (NetworkX graph) – Undirected graph

• nbunch (container) – Container of nodes. If provided node connectivity will be computed only over pairs of nodes in nbunch.

• flow_func (function) – A function for computing the maximum flow among a pair of nodes. The function has to accept at least three parameters: a Digraph, a source node, and a target node. And return a residual network that follows NetworkX conventions (see maximum_flow() for details). If flow_func is None, the default maximum flow function (edmonds_karp()) is used. See below for details. The choice of the default function may change from version to version and should not be relied on. Default value: None.

Returns

all_pairs – A dictionary with node connectivity between all pairs of nodes in G, or in nbunch if provided.

Return type

dict

local_node_connectivity(), edge_connectivity(), local_edge_connectivity(), maximum_flow(), edmonds_karp(), preflow_push(), shortest_augmenting_path()