out_degree_centrality

out_degree_centrality(G)

Compute the out-degree centrality for nodes.

The out-degree centrality for a node v is the fraction of nodes its outgoing edges are connected to.

Parameters:

Ggraph

A NetworkX graph

Returns:

nodesdictionary

Dictionary of nodes with out-degree centrality as values.

Raises:

NetworkXNotImplemented

If G is undirected.

See also

degree_centrality, in_degree_centrality

Notes

The degree centrality values are normalized by dividing by the maximum possible degree in a simple graph n-1 where n is the number of nodes in G.

For multigraphs or graphs with self loops the maximum degree might be higher than n-1 and values of degree centrality greater than 1 are possible.

Examples

>>> G = nx.DiGraph([(0, 1), (0, 2), (0, 3), (1, 2), (1, 3)])
>>> nx.out_degree_centrality(G)
{0: 1.0, 1: 0.6666666666666666, 2: 0.0, 3: 0.0}
----

Additional backends implement this function

cugraph : GPU-accelerated backend.

graphblas : OpenMP-enabled sparse linear algebra backend.