PMID: 12786397Jun 6, 2003Paper

Network landscape from a Brownian particle's perspective

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Haijun Zhou

Abstract

Given a complex biological or social network, how many clusters should it be decomposed into? We define the distance d(i,j) from node i to node j as the average number of steps a Brownian particle takes to reach j from i. Node j is a global attractor of i if d(i,j)< or =d(i,k) for any k of the graph; it is a local attractor of i if j in E(i) (the set of nearest neighbors of i) and d(i,j)< or =d(i,l) for any l in E(i). Based on the intuition that each node should have a high probability to be in the same community as its global (local) attractor on the global (local) scale, we present a simple method to uncover a network's community structure. This method is applied to several real networks and some discussion on its possible extensions is made.

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Citations

May 1, 2010·IEEE Transactions on Pattern Analysis and Machine Intelligence·Amin MantrachMarco Saerens
Feb 20, 2009·Journal of Bioinformatics and Computational Biology·Lin GaoJia Song
Aug 29, 2014·Nature Communications·Takamitsu WatanabeGeraint Rees
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Santo FortunatoMassimo Marchiori
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I Vragović, E Louis
Jul 30, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rumi Ghosh, Kristina Lerman
Jul 30, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Weihua ZhanShuigeng Zhou
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tamara MihaljevHans J Herrmann
Feb 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hui-Jia Li, Jasmine J Daniels
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S FeldtM Zochowski
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wei RenLan Xiao
Dec 11, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S HwangB Kahng
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Moreno BonaventuraVito Latora
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Qi XuanTie-Jun Wu
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·José J Ramasco, Muhittin Mungan
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Darong LaiChristine Nardini
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nelson A Alves
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Darong LaiHongtao Lu
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Haijun Zhou
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hui-Jia LiXiang-Sun Zhang

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