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Re: [igraph] eigenvector centrality with second eigenvalue
From: |
Tamás Nepusz |
Subject: |
Re: [igraph] eigenvector centrality with second eigenvalue |
Date: |
Sat, 24 May 2014 23:21:58 +0200 |
> Is there an option with evcent (or ARPACK) that allows to get the
> eigenvector (centrality) associated to the 2nd or further eigenvalue
> inside igraph ? You notice in the help file that the largest cliques
> may pull the highest values.
The R interface of igraph contains a direct interface to ARPACK so you can use
it to calculate the eigenvector corresponding to the second eigenvalue of the
adjacency matrix. However, note that it is not guaranteed that the eigenvector
corresponding to the second (or any other but the first) eigenvalue contains
positive entries only, in which case the interpretation of the entries of the
vector as centrality scores is a bit problematic (IMHO).
Best,
T.