https://github.com/PerezOrtegaJ/Neural_Ensemble_Analysis
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Tip revision: 9d37fd031dfbdb4eb69faa449d0a6416267a7d4f authored by Jesús Pérez on 28 July 2020, 20:36:58 UTC
Update README.md
Tip revision: 9d37fd0
eigenvector_centrality_und.m
function   v = eigenvector_centrality_und(CIJ)
%EIGENVECTOR_CENTRALITY_UND      Spectral measure of centrality
%
%   v = eigenvector_centrality_und(CIJ)
%
%   Eigenector centrality is a self-referential measure of centrality:
%   nodes have high eigenvector centrality if they connect to other nodes
%   that have high eigenvector centrality. The eigenvector centrality of
%   node i is equivalent to the ith element in the eigenvector 
%   corresponding to the largest eigenvalue of the adjacency matrix.
%
%   Inputs:     CIJ,        binary/weighted undirected adjacency matrix.
%
%   Outputs:      v,        eigenvector associated with the largest
%                           eigenvalue of the adjacency matrix CIJ.
%
%   Reference: Newman, MEJ (2002). The mathematics of networks.
%
%   Contributors:
%   Xi-Nian Zuo, Chinese Academy of Sciences, 2010
%   Rick Betzel, Indiana University, 2012
%   Mika Rubinov, University of Cambridge, 2015

%   MODIFICATION HISTORY
%   2010/2012: original (XNZ, RB)
%   2015: ensure the use of leading eigenvector (MR)


n = length(CIJ);
if n < 1000
    [V,D] = eig(CIJ);
else
    [V,D] = eigs(sparse(CIJ));
end
[~,idx] = max(diag(D));
ec = abs(V(:,idx));
v = reshape(ec, length(ec), 1);
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