dispersion¶
- dispersion(G, u=None, v=None, normalized=True, alpha=1.0, b=0.0, c=0.0)¶
Calculate dispersion between \(u\) and \(v\) in \(G\).
A link between two actors (\(u\) and \(v\)) has a high dispersion when their mutual ties (\(s\) and \(t\)) are not well connected with each other.
Parameters : G : graph
A NetworkX graph.
u : node, optional
The source for the dispersion score (e.g. ego node of the network).
v : node, optional
The target of the dispersion score if specified.
normalized : bool
If True (default) normalize by the embededness of the nodes (u and v).
Returns : nodes : dictionary
If u (v) is specified, returns a dictionary of nodes with dispersion score for all “target” (“source”) nodes. If neither u nor v is specified, returns a dictionary of dictionaries for all nodes ‘u’ in the graph with a dispersion score for each node ‘v’.
Notes
This implementation follows Lars Backstrom and Jon Kleinberg [R184]. Typical usage would be to run dispersion on the ego network \(G_u\) if \(u\) were specified. Running dispersion() with neither \(u\) nor \(v\) specified can take some time to complete.
References
[R184] (1, 2) Romantic Partnerships and the Dispersion of Social Ties: A Network Analysis of Relationship Status on Facebook. Lars Backstrom, Jon Kleinberg. http://arxiv.org/pdf/1310.6753v1.pdf