numeric_assortativity_coefficient

numeric_assortativity_coefficient(G, attribute, nodes=None)

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: float :

Assortativity of graph for given attribute

Notes

This computes Eq. (21) in Ref. [R102] , for the mixing matrix of of the specified attribute.

References

[R102]

(1, 2) M. E. J. Newman, Mixing patterns in networks Physical Review E, 67 026126, 2003

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