wg <dZddlZdgZejddZy)z@Algorithm to select influential nodes in a graph using VoteRank.Nvoterankcg}it|dk(r|S||t|kDr t|}|jr-td|jDt|z }n,td|j Dt|z }|j D] }ddg|< t |D] }|j D] }d|d< |jD]B\}}|dxx|dz cc<|jr-|dxx|dz cc<D|D] }d|d< t|j fd}|ddk(r|cS|j|ddg|<|j|D]0\}}|dxxd|z zcc<t|dd|d<2 |S)aSelect a list of influential nodes in a graph using VoteRank algorithm VoteRank [1]_ computes a ranking of the nodes in a graph G based on a voting scheme. With VoteRank, all nodes vote for each of its in-neighbors and the node with the highest votes is elected iteratively. The voting ability of out-neighbors of elected nodes is decreased in subsequent turns. Parameters ---------- G : graph A NetworkX graph. number_of_nodes : integer, optional Number of ranked nodes to extract (default all nodes). Returns ------- voterank : list Ordered list of computed seeds. Only nodes with positive number of votes are returned. Examples -------- >>> G = nx.Graph([(0, 1), (0, 2), (0, 3), (1, 4)]) >>> nx.voterank(G) [0, 1] The algorithm can be used both for undirected and directed graphs. However, the directed version is different in two ways: (i) nodes only vote for their in-neighbors and (ii) only the voting ability of elected node and its out-neighbors are updated: >>> G = nx.DiGraph([(0, 1), (2, 1), (2, 3), (3, 4)]) >>> nx.voterank(G) [2, 3] Notes ----- Each edge is treated independently in case of multigraphs. References ---------- .. [1] Zhang, J.-X. et al. (2016). Identifying a set of influential spreaders in complex networks. Sci. Rep. 6, 27823; doi: 10.1038/srep27823. rc3&K|] \}}| ywN.0_degs p/home/mcse/projects/flask/flask-venv/lib/python3.12/site-packages/networkx/algorithms/centrality/voterank_alg.py zvoterank..@s939c3&K|] \}}| ywrrrs r r zvoterank..Cs535rc|dS)Nrr)x vote_ranks r zvoterank..Usy|A)key) len is_directedsum out_degreedegreenodesrangeedgesmaxappend)Gnumber_of_nodesinfluential_nodes avgDegreenr nbrrs @r rrs`I 1v{  /CF":a&}}9!,,.99CFB 5!((*55A> WWY1v ! ? #: AIaLO ggi 5FAs aLOy~a0 0O==?#q!Yq\!_4!  5 # AIaLO  6 7 Q<?a $ $  #1v ! ggaj :FAs cN1 Y .  #IcN1$5q 9IcN1  :):. rr)__doc__networkxnx__all__ _dispatchablerrrr r,s.F ,VVr