The University of Southampton
University of Southampton Institutional Repository

Stability in flux: Community structure in dynamic networks

Bryden, John, Funk, Sebastian, Geard, Nicholas, Bullock, Seth and Jansen, Vincent (2010) Stability in flux: Community structure in dynamic networks Journal of The Royal Society Interface, 8, (60), pp. 1031-1040. (doi:10.1098/?rsif.2010.0524).

Record type: Article

Abstract

The structure of many biological, social and technological systems can usefully be described in terms of complex networks. Although often portrayed as fixed in time, such networks are inherently dynamic, as the edges that join nodes are cut and rewired, and nodes themselves update their states. Understanding the structure of these networks requires us to understand the dynamic processes that create, maintain and modify them. Here, we build upon existing models of coevolving networks to characterize how dynamic behaviour at the level of individual nodes generates stable aggregate behaviours. We focus particularly on the dynamics of groups of nodes formed endogenously by nodes that share similar properties (represented as node state) and demonstrate that, under certain conditions, network modularity based on state compares well with network modularity based on topology. We show that if nodes rewire their edges based on fixed node states, the network modularity reaches a stable equilibrium which we quantify analytically. Furthermore, if node state is not fixed, but can be adopted from neighbouring nodes, the distribution of group sizes reaches a dynamic equilibrium, which remains stable even as the composition and identity of the groups change. These results show that dynamic networks can maintain the stable community structure that has been observed in many social and biological systems.

PDF Social_Butterfly_Interface.pdf - Version of Record
Download (965kB)

More information

Published date: 2010
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 271552
URI: http://eprints.soton.ac.uk/id/eprint/271552
PURE UUID: 3637521c-880b-425c-bd54-3b9ff81261d2

Catalogue record

Date deposited: 15 Sep 2010 20:25
Last modified: 18 Jul 2017 06:41

Export record

Altmetrics

Contributors

Author: John Bryden
Author: Sebastian Funk
Author: Nicholas Geard
Author: Seth Bullock
Author: Vincent Jansen

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×