networkx.algorithms.assortativity.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. The numeric attribute must be an integer.

Parameters
  • G (NetworkX graph)

  • attribute (string) – Node attribute key. The corresponding attribute value must be an integer.

  • 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