relation: http://eprints.imtlucca.it/1080/
title: Topologically biased random walk and community finding in networks
creator: Zlatic, Vinko
creator: Gabrielli, Andrea
creator: Caldarelli, Guido
subject: QA Mathematics
subject: QC Physics
description: We present an approach of topology biased random walks for undirected networks. We focus on a one-parameter family of biases, and by using a formal analogy with perturbation theory in quantum mechanics we investigate the features of biased random walks. This analogy is extended through the use of parametric equations of motion to study the features of random walks vs parameter values. Furthermore, we show an analysis of the spectral gap maximum associated with the value of the second eigenvalue of the transition matrix related to the relaxation rate to the stationary state. Applications of these studies allow ad hoc algorithms for the exploration of complex networks and their communities.
publisher: American Physical Society
date: 2010-12
type: Article
type: PeerReviewed
format: application/pdf
language: en
identifier: http://eprints.imtlucca.it/1080/1/PhysRevE.Caldarelli_2010.pdf
identifier:   Zlatic, Vinko and Gabrielli, Andrea and Caldarelli, Guido  Topologically biased random walk and community finding in networks.  Physical Review E, 82 (6).  066109-1.  ISSN 1539-3755      (2010)  
relation: http://link.aps.org/doi/10.1103/PhysRevE.82.066109
relation: 10.1103/PhysRevE.82.066109