Mondragon, RJ;
Zhou, S;
(2012)
Random networks with given rich-club coefficient.
European Physical Journal B
, 85
, Article 328. 10.1140/epjb/e2012-21026-3.
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Abstract
In complex networks it is common to model a network or generate a surrogate network based on the conservation of the number of connections of individual nodes. In this paper we analyse the ensemble of random networks that are defined by the conservation of the rich-club coefficient, which measures the density of connections among a group of nodes. We also present a method to generate such surrogate networks for a given network. We show that by choosing a suitable local linking term, the random networks not only preserve the rich-club coefficient but also closely approximate the degree distribution and the mixing pattern of real networks. Our work provides a different and complementary perspective to the network randomisation problem.
| Type: | Article |
|---|---|
| Title: | Random networks with given rich-club coefficient |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1140/epjb/e2012-21026-3 |
| Publisher version: | http://dx.doi.org/10.1140/epjb/e2012-21026-3 |
| Language: | English |
| Additional information: | The final publication is available at Springer via http://dx.doi.org/10.1140/epjb/e2012-21026-3. |
| Keywords: | Statistical and Nonlinear Physics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1497105 |
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