attribute_assortativity_coefficient#
- attribute_assortativity_coefficient(G, attribute, nodes=None)[source]#
Compute assortativity for node attributes.
Assortativity measures the similarity of connections in the graph with respect to the given attribute.
- Parameters:
- GNetworkX graph
- attributestring
Node attribute key
- nodes: list or iterable (optional)
Compute attribute assortativity for nodes in container. The default is all nodes.
- Returns:
- r: float
Assortativity of graph for given attribute
Notes
This computes Eq. (2) in Ref. [1] , (trace(M)-sum(M^2))/(1-sum(M^2)), where M is the joint probability distribution (mixing matrix) of the specified attribute.
References
[1]M. E. J. Newman, Mixing patterns in networks, Physical Review E, 67 026126, 2003
Examples
>>> G = nx.Graph() >>> G.add_nodes_from([0, 1], color="red") >>> G.add_nodes_from([2, 3], color="blue") >>> G.add_edges_from([(0, 1), (2, 3)]) >>> print(nx.attribute_assortativity_coefficient(G, "color")) 1.0