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:

GNetworkX graph
attributestring: 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. [1] , which is the Pearson correlation coefficient of the specified (scalar valued) attribute across edges.

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], 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