Literature DB >> 31548385

Propinquity drives the emergence of network structure and density.

Lazaros K Gallos1, Shlomo Havlin2, H Eugene Stanley3,4, Nina H Fefferman5,6.   

Abstract

The lack of large-scale, continuously evolving empirical data usually limits the study of networks to the analysis of snapshots in time. This approach has been used for verification of network evolution mechanisms, such as preferential attachment. However, these studies are mostly restricted to the analysis of the first links established by a new node in the network and typically ignore connections made after each node's initial introduction. Here, we show that the subsequent actions of individuals, such as their second network link, are not random and can be decoupled from the mechanism behind the first network link. We show that this feature has strong influence on the network topology. Moreover, snapshots in time can now provide information on the mechanism used to establish the second connection. We interpret these empirical results by introducing the "propinquity model," in which we control and vary the distance of the second link established by a new node and find that this can lead to networks with tunable density scaling, as found in real networks. Our work shows that sociologically meaningful mechanisms are influencing network evolution and provides indications of the importance of measuring the distance between successive connections.

Keywords:  network density; network evolution; network generation methods

Year:  2019        PMID: 31548385      PMCID: PMC6789902          DOI: 10.1073/pnas.1900219116

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  24 in total

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Authors:  Yong-Yeol Ahn; James P Bagrow; Sune Lehmann
Journal:  Nature       Date:  2010-06-20       Impact factor: 49.962

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Authors:  Lazaros K Gallos; Chaoming Song; Shlomo Havlin; Hernán A Makse
Journal:  Proc Natl Acad Sci U S A       Date:  2007-04-30       Impact factor: 11.205

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5.  Collective dynamics of 'small-world' networks.

Authors:  D J Watts; S H Strogatz
Journal:  Nature       Date:  1998-06-04       Impact factor: 49.962

6.  Universal fractal scaling of self-organized networks.

Authors:  Paul J Laurienti; Karen E Joyce; Qawi K Telesford; Jonathan H Burdette; Satoru Hayasaka
Journal:  Physica A       Date:  2011-10-01       Impact factor: 3.263

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Authors:  U Bhat; P L Krapivsky; R Lambiotte; S Redner
Journal:  Phys Rev E       Date:  2016-12-08       Impact factor: 2.529

8.  Structural Transitions in Densifying Networks.

Authors:  R Lambiotte; P L Krapivsky; U Bhat; S Redner
Journal:  Phys Rev Lett       Date:  2016-11-16       Impact factor: 9.161

9.  Network physiology reveals relations between network topology and physiological function.

Authors:  Amir Bashan; Ronny P Bartsch; Jan W Kantelhardt; Shlomo Havlin; Plamen Ch Ivanov
Journal:  Nat Commun       Date:  2012-02-28       Impact factor: 14.919

10.  Evo-devo in the era of gene regulatory networks.

Authors:  Antje H L Fischer; Joel Smith
Journal:  Integr Comp Biol       Date:  2012-08-27       Impact factor: 3.326

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