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Phase transitions for modified Erdős–Rényi processes
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2012 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 50, no 2, 305-329 p.Article in journal (Refereed) Published
Abstract [en]

A fundamental and very well studied region of the Erdős–Rényi process is the phase transition at mn/2 edges in which a giant component suddenly appears. We examine the process beginning with an initial graph. We further examine the Bohman–Frieze process in which edges between isolated vertices are more likely. While the positions of the phase transitions vary, the three processes belong, roughly speaking, to the same universality class. In particular, the growth of the giant component in the barely supercritical region is linear in all cases.

Place, publisher, year, edition, pages
2012. Vol. 50, no 2, 305-329 p.
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URN: urn:nbn:se:uu:diva-181995DOI: 10.1007/s11512-011-0157-1ISI: 000307958200008OAI: oai:DiVA.org:uu-181995DiVA: diva2:559460
Available from: 2012-10-09 Created: 2012-10-02 Last updated: 2012-10-09Bibliographically approved

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Janson, Svante
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Analysis and Applied Mathematics
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