Analytic solutions for links and triangles distributions in finite Barabási–Albert networks

Ricardo M. Ferreira, Rita M.C. de Almeida and Leonardo G. Brunnet

Physica A: Statistical Mechanics and its Applications, 2017, vol. 466, issue C, 105-110

Abstract: Barabási–Albert model describes many different natural networks, often yielding sensible explanations to the subjacent dynamics. However, finite size effects may prevent from discerning among different underlying physical mechanisms and from determining whether a particular finite system is driven by Barabási–Albert dynamics. Here we propose master equations for the evolution of the degrees, links and triangles distributions, solve them both analytically and by numerical iteration, and compare with numerical simulations. The analytic solutions for all these distributions predict the network evolution for systems as small as 100 nodes. The analytic method we developed is applicable for other classes of networks, representing a powerful tool to investigate the evolution of natural networks.

Keywords: Growing networks; Exact solutions; Master equation; Finite size (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:466:y:2017:i:c:p:105-110

DOI: 10.1016/j.physa.2016.08.018

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