Vh dZddlZddlmZmZmZddlmZm Z ddgZ edejd de d fd Z e Zy) z+Current-flow closeness centrality measures.N)CGInverseLaplacianFullInverseLaplacianSuperLUInverseLaplacian)not_implemented_forreverse_cuthill_mckee_ordering!current_flow_closeness_centralityinformation_centralitydirectedweight) edge_attrsluc Htj|stjdttt d}|j }tt|}tj|tt|t|}tj|d}|j }tj|t||jd} | j!|} ||| d|} |D]g} | j#| } |D]O} || xx| j%| d| j%| zz z cc<|| xx| j%| z cc<Qi|j'Dcic]\}}||d|z c}}Scc}}w) aCompute current-flow closeness centrality for nodes. Current-flow closeness centrality is variant of closeness centrality based on effective resistance between nodes in a network. This metric is also known as information centrality. Parameters ---------- G : graph A NetworkX graph. weight : None or string, optional (default=None) If None, all edge weights are considered equal. Otherwise holds the name of the edge attribute used as weight. The weight reflects the capacity or the strength of the edge. dtype: data type (default=float) Default data type for internal matrices. Set to np.float32 for lower memory consumption. solver: string (default='lu') Type of linear solver to use for computing the flow matrix. Options are "full" (uses most memory), "lu" (recommended), and "cg" (uses least memory). Returns ------- nodes : dictionary Dictionary of nodes with current flow closeness centrality as the value. See Also -------- closeness_centrality Notes ----- The algorithm is from Brandes [1]_. See also [2]_ for the original definition of information centrality. References ---------- .. [1] Ulrik Brandes and Daniel Fleischer, Centrality Measures Based on Current Flow. Proc. 22nd Symp. Theoretical Aspects of Computer Science (STACS '05). LNCS 3404, pp. 533-544. Springer-Verlag, 2005. https://doi.org/10.1007/978-3-540-31856-9_44 .. [2] Karen Stephenson and Marvin Zelen: Rethinking centrality: Methods and examples. Social Networks 11(1):1-37, 1989. https://doi.org/10.1016/0378-8733(89)90016-6 zGraph not connected.)fullr cgg)nodelistr csc)widthdtype)nx is_connected NetworkXErrorrrrnumber_of_nodeslistr relabel_nodesdictziprangefromkeyslaplacian_matrixasformatastypeget_rowitemitems)Gr rsolver solvernameNorderingH betweennessLC2vcolwnodevalues e/home/dcms/DCMS/lib/python3.12/site-packages/networkx/algorithms/centrality/current_flow_closeness.pyrrssr ??1 566$% J A2156H DXuQx!89:A--3'K A Aa@II%PA A F AQe 4B *jjm *A NchhqkA O; ;N Nchhqk )N ** :E9J9J9L M+$HTNAI % MM MsF)__doc__networkxr*networkx.algorithms.centrality.flow_matrixrrrnetworkx.utilsrr__all__ _dispatchablefloatrr r5r?sh1 O .0H IZ X&04E$MN'!MN`;r>