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numeric_assortativity_coefficient

numeric_assortativity_coefficient(G, attribute, nodes=None)[source]

Compute assortativity for numerical node attributes.

Assortativity measures the similarity of connections in the graph with respect to the given numeric attribute.

Parameters:
  • G (NetworkX graph) –
  • attribute (string) – Node attribute key
  • nodes (list or iterable (optional)) – Compute numeric assortativity only for attributes of nodes in container. The default is all nodes.
Returns:

r – Assortativity of graph for given attribute
Return type:

float

Examples

>>> G=nx.Graph()
>>> G.add_nodes_from([0,1],size=2)
>>> G.add_nodes_from([2,3],size=3)
>>> G.add_edges_from([(0,1),(2,3)])
>>> print(nx.numeric_assortativity_coefficient(G,'size'))
1.0

Notes

This computes Eq. (21) in Ref. [1] , for the mixing matrix of of the specified attribute.

References

[1]M. E. J. Newman, Mixing patterns in networks Physical Review E, 67 026126, 2003