https://github.com/PerezOrtegaJ/Neural_Ensemble_Analysis
Tip revision: 9d37fd031dfbdb4eb69faa449d0a6416267a7d4f authored by Jesús Pérez on 28 July 2020, 20:36:58 UTC
Update README.md
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);