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Explosive Percolation in Random Networks

  • Wei Chen

Part of the Springer Theses book series (Springer Theses)

About this book

Introduction

This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiple phase transitions, and unstable giant components are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology.

Keywords

Bohman-Frieze-Wormald model complex networks critical threshold explosive percolation giant connected component hybrid percolation transition phase transition random graph supercritical percolation

Authors and affiliations

  • Wei Chen
    • 1
  1. 1.Peking UniversityBeijingChina

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-43739-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-662-43738-4
  • Online ISBN 978-3-662-43739-1
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site
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