Geometric explanation of the rich-club phenomenon in complex networks

Scientific Reports
Máté CsigiAndrás Gulyás

Abstract

The rich club organization (the presence of highly connected hub core in a network) influences many structural and functional characteristics of networks including topology, the efficiency of paths and distribution of load. Despite its major role, the literature contains only a very limited set of models capable of generating networks with realistic rich club structure. One possible reason is that the rich club organization is a divisive property among complex networks which exhibit great diversity, in contrast to other metrics (e.g. diameter, clustering or degree distribution) which seem to behave very similarly across many networks. Here we propose a simple yet powerful geometry-based growing model which can generate realistic complex networks with high rich club diversity by controlling a single geometric parameter. The growing model is validated against the Internet, protein-protein interaction, airport and power grid networks.

References

Oct 16, 1999·Science·A L Barabasi, R Albert
Sep 6, 2000·Nature·J M Kleinberg
Mar 21, 2008·Physical Review Letters·M Angeles SerranoMarián Boguñá
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dmitri KrioukovMarián Boguñá
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiao-Ke XuMichael Small
Nov 4, 2011·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Martijn P van den Heuvel, Olaf Sporns
Sep 14, 2012·Nature·Fragkiskos PapadopoulosDmitri Krioukov
Feb 5, 2013·Scientific Reports·Luis M Vaquero, Manuel Cebrian
Jun 7, 2013·JAMA Psychiatry·Martijn P van den HeuvelRené S Kahn
Nov 2, 2013·Science·Hae-Jeong Park, Karl Friston
May 7, 2014·Proceedings of the National Academy of Sciences of the United States of America·Gareth BallSerena J Counsell
Mar 25, 2015·PloS One·Athen Ma, Raúl J Mondragón
Jul 4, 2015·Nature Communications·András GulyásDmitri Krioukov
Feb 19, 2016·Nature Communications·John W Simpson-PorcoFrancesco Bullo
Jun 28, 2016·PloS One·Yury A Malkov, Alexander Ponomarenko
Jan 18, 2017·Nature Communications·Antoine AllardMarián Boguñá

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