import numpy as np
[docs]def eigen_centrality(W):
"""
Calculates the eigenvector centrality, which is a centrality measure based
on the adjacency matrix eigenvectors
Parameters
----------
W : numpy 2D matrix
Graph matrix. ChannelsXChannels.
mode : string
GPU or CPU
Returns
-------
nodal_eig : numpy array
Nodal eigenvector centrality
"""
if W.shape[0] is not W.shape[1]:
raise ValueError('W matrix must be square')
if not np.issubdtype(W.dtype, np.number):
raise ValueError('W matrix contains non-numeric values')
N = W.shape[0] # Number of nodes
D,V = np.linalg.eig(W)
idx = np.where(D == max(D))[0]
nodal_eig = abs(V[:,idx])
return nodal_eig