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Table of Contents
Vol. 3, No. 1-3, 2006
Issue release date: August 2006
Section title: Network modelling
ComPlexUs 2006;3:131–146

Spreading on Networks: A Topographic View

Canright G.S. · Engø-Monsen K.
Telenor R&D, Fornebu, Norway
email Corresponding Author

Geoffrey S. Canright

Telenor R&D, B6d, Snarøyveien 30

NO–1331 Fornebu (Norway)

Tel. +47 91 81 5638, Fax +47 96 21 1086, E-Mail geoffrey.canright@telenor.com

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We apply our previously developed method of ‘topographic’ analysis of networks to the problem of epidemic spreading. We consider the simplest form of epidemic spreading, namely the ‘SI’ model. We argue that the eigenvector centrality of a node is a good indicator of that node’s spreading power. From this we develop seven specific predictions. In particular, we predict that each region (as defined by our approach) will have its own S curve for cumulative adoption over time, and we describe the various phases of the S curve in terms of motion of the infection over the region. Our predictions are well supported by simulations. In particular, the significance of regions to epidemic spreading is clear. Finally, we develop a mathematical theory, giving partial support to our picture. The theory includes a precise quantitative definition of the spreading power of a node, and some approximate analytical results for epidemic spreading.

© 2006 S. Karger AG, Basel

Article / Publication Details

First-Page Preview
Abstract of Network modelling

Published online: September 01, 2006
Issue release date: August 2006

Number of Print Pages: 16
Number of Figures: 8
Number of Tables: 0

ISSN: 1424-8492 (Print)
eISSN: 1424-8506 (Online)

For additional information: http://www.karger.com/CPU

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