networkx.algorithms.assortativity.attribute_assortativity_coefficient¶
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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
G (NetworkX graph)
attribute (string) – Node attribute key
nodes (list or iterable (optional)) – Compute attribute assortativity for nodes in container. The default is all nodes.
- Returns
r – Assortativity of graph for given attribute
- Return type
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
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