group_degree_centrality

group_degree_centrality(G, S)

Compute the group degree centrality for a group of nodes.

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

Parameters:

Ggraph

A NetworkX graph.

Slist or set

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

Returns:

centralityfloat

Group degree centrality of the group S.

Raises:

NetworkXError

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

See also

degree_centrality

group_in_degree_centrality

group_out_degree_centrality

Notes

The measure was introduced in [1].

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.

References

[1]

M G Everett and S P Borgatti: The Centrality of Groups and Classes. Journal of Mathematical Sociology. 23(3): 181-201. 1999. http://www.analytictech.com/borgatti/group_centrality.htm