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Networks that optimize a trade-off between efficiency and dynamical resilience

Brede, Markus and de Vries, Bert J.M. (2009) Networks that optimize a trade-off between efficiency and dynamical resilience Physics Letters A, 373, (43), pp. 3910-3914. (doi:10.1016/j.physleta.2009.08.049).

Record type: Article

Abstract

In this Letter we study networks that have been optimized to realize a trade-off between communication efficiency and dynamical resilience. While the first is related to the average shortest pathlength, we argue that the second can be measured by the largest eigenvalue of the adjacency matrix of the network. Best efficiency is realized in star-like configurations, while enhanced resilience is related to the avoidance of short loops and degree homogeneity. Thus crucially, very efficient networks are not resilient while very resilient networks lack in efficiency. Networks that realize a trade-off between both limiting cases exhibit core-periphery structures, where the average degree of core nodes decreases but core size increases as the weight is gradually shifted from a strong requirement for efficiency and limited resilience towards a smaller requirement for efficiency and a strong demand for resilience. We argue that both, efficiency and resilience are important requirements for network design and highlight how networks can be constructed that allow for both.

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Published date: 19 October 2009
Keywords: networks, efficiency, resilience, optimization
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 272852
URI: http://eprints.soton.ac.uk/id/eprint/272852
ISSN: 0375-9601
PURE UUID: df455c7c-c6ec-4362-9fa6-8c8ec0a782b9

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Date deposited: 26 Sep 2011 16:04
Last modified: 18 Jul 2017 06:19

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Contributors

Author: Markus Brede
Author: Bert J.M. de Vries

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