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Susceptibility in inhomogeneous random graphs
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2012 (English)In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 19, no 1, P31- p.Article in journal (Refereed) Published
Abstract [en]

We study the susceptibility, i.e., the mean size of the component containing a random vertex, in a general model of inhomogeneous random graphs. This is one of the fundamental quantities associated to (percolation) phase transitions; in practice one of its main uses is that it often gives a way of determining the critical point by solving certain linear equations. Here we relate the susceptibility of suitable random graphs to a quantity associated to the corresponding branching process, and study both quantities in various natural examples.

Place, publisher, year, edition, pages
2012. Vol. 19, no 1, P31- p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-172724ISI: 000300247200001OAI: oai:DiVA.org:uu-172724DiVA: diva2:576682
Available from: 2012-12-13 Created: 2012-04-13 Last updated: 2017-12-06Bibliographically approved

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Janson, Svante

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