PMID: 15245264Jul 13, 2004Paper

Weighted evolving networks: coupling topology and weight dynamics

Physical Review Letters
Alain BarratAlessandro Vespignani

Abstract

We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution. The model is based on a simple weight-driven dynamics and generates networks exhibiting the statistical properties observed in several real-world systems. In particular, the model yields a nontrivial time evolution of vertices' properties and scale-free behavior for the weight, strength, and degree distributions.

References

Jun 12, 1998·Nature·D J Watts, S H Strogatz
Oct 16, 1999·Science·A L Barabasi, R Albert
Sep 27, 2000·Proceedings of the National Academy of Sciences of the United States of America·L A AmaralH E Stanley
Jun 21, 2001·Physical Review Letters·S H YookY Tu
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E Newman
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dafang ZhengP M Hui
Nov 25, 2003·Nature·Ann E KrauseWilliam W Taylor
Mar 10, 2004·Proceedings of the National Academy of Sciences of the United States of America·A BarratA Vespignani

❮ Previous
Next ❯

Citations

Feb 5, 2013·Bulletin of Mathematical Biology·Prapanporn RattanaIstvan Z Kiss
Apr 20, 2007·IET Systems Biology·O Mason, M Verwoerd
Mar 28, 2013·PloS One·Andrew J McMurryIsaac S Kohane
Dec 24, 2013·The Journal of Chemical Physics·Yihang Yang, Zhongzhi Zhang
Oct 5, 2013·Chaos·Meifeng DaiLifeng Xi
Jul 7, 2007·Chaos·Xinping XuFeng Liu
Jun 24, 2014·The Journal of Chemical Physics·Xin Peng, Zhongzhi Zhang
Dec 5, 2015·Scientific Reports·Zhongzhi ZhangYuhao Yi
Mar 29, 2007·The New Phytologist·Mike J JegerMike W Shaw
Mar 1, 2009·Epidemics·Ken T D EamesW John Edmunds
Nov 16, 2016·Scientific Reports·Jin-Li GuoJeffrey Forrest
Oct 26, 2013·Scientific Reports·Dai-Jun WeiSankaran Mahadevan
Jun 21, 2014·Scientific Reports·Yuan Lin, Zhongzhi Zhang
Jan 18, 2017·Nature Communications·Antoine AllardMarián Boguñá
Nov 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Naoki MasudaNorio Konno
Oct 17, 2017·IEEE Transactions on Cybernetics·Changbing TangXiang Li
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M E J Newman
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shijun Wang, Changshui Zhang
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alain BarratAlessandro Vespignani
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Naoki MasudaNorio Konno
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E AlmaasS Redner
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Alain Barrat, Romualdo Pastor-Satorras
Feb 17, 2018·Scientific Reports·Samuel UnicombMárton Karsai
May 21, 2005·Physical Review Letters·Lazaros K GallosShlomo Havlin
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhi-Xi WuYing-Hai Wang
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tomer KaliskyH Eugene Stanley
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T S Evans, J P Saramäki
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wen-Xu WangYan-Bo Xie
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A G AngelM R Evans
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tomer KaliskyH Eugene Stanley
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Wen-Xu WangTao Zhou
May 23, 2006·Physical Review Letters·Changsong Zhou, Jürgen Kurths
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ming TangJie Zhou
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tao ZhouBing-Hong Wang
Feb 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhenhua WuH Eugene Stanley
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Qing OuBao-Qun Yin
May 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Giulia Iori, Ovidiu V Precup
Feb 1, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·José J Ramasco, Bruno Gonçalves
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C E La RoccaP A Macri
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Giorgio FagioloStefano Schiavo
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kun ZhaoAlain Barrat
Feb 2, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Aviv Yehezkel, Reuven Cohen
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T Antal, P L Krapivsky
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Giorgio Fagiolo

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Alain BarratAlessandro Vespignani
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Dafang ZhengP M Hui
Proceedings of the National Academy of Sciences of the United States of America
Alain BarratAlessandro Vespignani
© 2022 Meta ULC. All rights reserved