group_in_degree_centrality

group_in_degree_centrality(G, S)

Compute the group in-degree centrality for a group of nodes.

Group in-degree centrality of a group of nodes \(S\) is the fraction of non-group members connected to group members by incoming edges.

Parameters:

Ggraph

A NetworkX graph.

Slist or set

S is a group of nodes which belong to G, for which group in-degree centrality is to be calculated.

Returns:

centralityfloat

Group in-degree centrality of the group S.

Raises:

NetworkXNotImplemented

If G is undirected.

NodeNotFound

If node(s) in S are not in G.

See also

degree_centrality

group_degree_centrality

group_out_degree_centrality

Notes

The number of nodes in the group must be a maximum of n - 1 where n is the total number of nodes in the graph.

G.neighbors(i) gives nodes with an outward edge from i, in a DiGraph, so for group in-degree centrality, the reverse graph is used.