PMID: 11308527Apr 20, 2001Paper

Effect of the accelerating growth of communications networks on their structure

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S N Dorogovtsev, J F Mendes

Abstract

Motivated by data on the evolution of the Internet and World Wide Web we consider scenarios of self-organization of nonlinearly growing networks into free-scale structures. We find that the accelerating growth of networks establishes their structure. For growing networks with preferential linking and increasing density of links, two scenarios are possible. In one of them, the value of the exponent gamma of the distribution of the number of incoming links is between 3/2 and 2. In the other scenario, gamma>2 and the distribution is necessarily nonstationary.

References

Apr 16, 1998·Science·B A HubermanR M Lukose
Sep 18, 1999·Nature·I RoemerR Fundele
Oct 16, 1999·Science·A L Barabasi, R Albert
Aug 10, 2000·Nature·R AlbertA L Barabasi
Sep 27, 2000·Proceedings of the National Academy of Sciences of the United States of America·L A AmaralH E Stanley
Oct 14, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·C Moore, M E Newman
Nov 18, 2000·Physical Review Letters·P L KrapivskyF Leyvraz
Nov 18, 2000·Physical Review Letters·S N DorogovtsevA N Samukhin
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S N Dorogovtsev, J F Mendes
Dec 2, 2000·Physical Review Letters·R Albert, A L Barabasi

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Citations

Jan 19, 2008·Theory in Biosciences = Theorie in Den Biowissenschaften·M J Gagen, J S Mattick
Apr 24, 2013·Proceedings of the National Academy of Sciences of the United States of America·Vincenzo NicosiaEdward T Bullmore
May 9, 2015·IEEE Transactions on Cybernetics·Minyu FengJurgen Kurths
Sep 25, 2007·The Journal of Chemical Physics·Claire P Massen, Jonathan P K Doye
Oct 11, 2013·Scientific Reports·Gourab GhoshalAlbert-László Barabási
Dec 12, 2001·Physical Review Letters·R Pastor-SatorrasA Vespignani
Jun 21, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S N Dorogovtsev, J F Mendes
Nov 3, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Z BurdaA Krzywicki
Mar 23, 2002·Physical Review Letters·K-I GohD Kim
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiang ChengQi Ouyang
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alexei VázquezAlessandro Vespignani
Oct 9, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zonghua LiuNong Ye
Oct 5, 2017·IEEE Transactions on Cybernetics·Minyu FengJurgen Kurths
Dec 26, 2001·Proceedings. Biological Sciences·S N Dorogovtsev, J F Mendes
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tao ZhouBing-Hong Wang
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paul Krapivsky, Dmitri Krioukov
May 16, 2014·Biological cybernetics·Michelle Rudolph-Lilith, Lyle E Muller
Apr 19, 2017·Physical Review. E·Naghmeh Momeni, Babak Fotouhi
Mar 15, 2020·Physical Review. E·Jun SunSteffen Staab
Sep 20, 2002·Proceedings of the National Academy of Sciences of the United States of America·Kwang-Il GohDoochul Kim
Dec 13, 2019·PloS One·Pradumn Kumar Pandey, Mayank Singh
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrzej KuligPaweł Oświȩcimka
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Haijun Zhou
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alessandro P S de MouraAdilson E Motter
Feb 9, 2005·Physical Review Letters·M Angeles SerranoAlbert Díaz-Guilera
Dec 18, 2020·Physical Review. E·Teruyoshi Kobayashi, Mathieu Génois
Dec 20, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·O Sotolongo-Costa, G J Rodgers
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·W Jezewski
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ginestra BianconiAndrea Capocci
Jun 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David M D SmithNick S Jones
Aug 9, 2003·Physical Review Letters·J-H KimD Kim
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Xulvi-Brunet, I M Sokolov
Jun 1, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Parongama Sen
Jul 30, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Chuang LiuZi-Ke Zhang
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M J Gagen, J S Mattick

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