D^(h/DddlmZddlZdgZej ddZy)) combinationsN dispersioncvfd}|g|3|Dcic]}|i} }|D]}||D]}||||| ||<| Stj||i} ||D]}||||| |<| S|2tj||i} ||D]}||||| |<| S||||} | Scc}w)aCalculate 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 embeddedness of the nodes (u and v). alpha, b, c : float Parameters for the normalization procedure. When `normalized` is True, the dispersion value is normalized by:: result = ((dispersion + b) ** alpha) / (embeddedness + c) as long as the denominator is nonzero. 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 [1]_. Typical usage would be to run dispersion on the ego network $G_u$ if $u$ were specified. Running :func:`dispersion` with neither $u$ nor $v$ specified can take some time to complete. References ---------- .. [1] Romantic Partnerships and the Dispersion of Social Ties: A Network Analysis of Relationship Status on Facebook. Lars Backstrom, Jon Kleinberg. https://arxiv.org/pdf/1310.6753v1.pdf cNt||}||Dchc] }||vs| }}||h}t|d}d}|D];\} } |j|| |z } | | vs"| j|| s7|dz }=t |} |} r|zz} | zdk7r| | zz} | Scc}w)z=dispersion for all nodes 'v' in a ego network G_u of node 'u'r)setr intersection isdisjointlen)G_uuvu_nbrsnSTset_uvpossibtotalstnbrs_s embeddednessdispersion_valalphabc normalizeds g/var/www/skyplay_api_hub/venv/lib/python3.12/site-packages/networkx/algorithms/centrality/dispersion.py _dispersionzdispersion.._dispersion9sSVQ /A1;a / /Qb!$ DAq((Q069F$$SV,QJE 2w  #aiE1Na1$,"22/0s B"B")dictfromkeys) Grrrrrrr rresultss ```` rrrsb8 y 9&'(q"u(G( 919A$/1a$8GAJqM9 9$ NmmAaD"-GqT 2(Aq1  2 N 9mmAaD"-GqT 2(Aq1  2 N"!Q*G N')s B6)NNTg?r%) itertoolsrnetworkxnx__all__ _dispatchablerrr-s." .bbr,