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Statistical Mechanics of Complex Networks

  • Book
  • © 2003

Overview

Editors:
  1. Romualdo Pastor-Satorras
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    You can also search for this editor in PubMed   Google Scholar

  2. Miguel Rubi
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    You can also search for this editor in PubMed   Google Scholar

  3. Albert Diaz-Guilera
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Part of the book series: Lecture Notes in Physics (LNP, volume 625)

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Table of contents (12 chapters)

  1. Front Matter

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  2. Introduction

    Pages 1-2

  3. Rate Equation Approach for Growing Networks

    • P.L. Krapivsky, S. Redner
    Pages 3-22

  4. Directed and Non-directed Scale-Free Networks

    • Reuven Cohen, Alejandro Fabian Rozenfeld, Nehemia Schwartz, Daniel ben-Avraham, Shlomo Havlin
    Pages 23-45

  5. Hierarchical Organization of Modularity in Complex Networks

    • Albert-László Barabási, Erzsébet Ravasz, Zoltán Oltvai
    Pages 46-65

  6. Mixing Patterns and Community Structure in Networks

    • M.E.J. Newman, M. Girvan
    Pages 66-87

  7. Effect of Accelerated Growth on Networks Dynamics

    • J.F.F. Mendes
    Pages 88-113

  8. Optimization in Complex Networks

    • Ramon Ferrer i Cancho, Ricard V. Solé
    Pages 114-126

  9. Epidemic Spreading in Complex Networks with Degree Correlations

    • Marián Boguá, Romualdo Pastor-Satorras, Alessandro Vespignani
    Pages 127-147

  10. Food Web Structure and the Evolution of Complex Networks

    • Guido Caldarelli, Diego Garlaschelli, Luciano Pietronero
    Pages 148-166

  11. Social Networks: From Sexual Networks to Threatened Networks

    • H. Eugene Stanley, Shlomo Havlin
    Pages 167-174

  12. Search and Congestion in Complex Networks

    • Alex Arenas, Antonio Cabrales, Albert Díaz-Guilera, Roger Guimerà, Fernando Vega-Redondo
    Pages 175-194

  13. Membrane Clusters of Ion Channels: Size Effects for Stochastic Resonance

    • Gerhard Schmid, Igor Goychuk, Peter Hänggi
    Pages 195-206
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Keywords

About this book

Networks can provide a useful model and graphic image useful for the description of a wide variety of web-like structures in the physical and man-made realms, e.g. protein networks, food webs and the Internet. The contributions gathered in the present volume provide both an introduction to, and an overview of, the multifaceted phenomenology of complex networks. Statistical Mechanics of Complex Networks also provides a state-of-the-art picture of current theoretical methods and approaches.

Reviews

"The editors have done a very good job compiling this collection of essays written by leading experts in the field of statistical mechanics of networks. Although a book like this can never be entirely up-to-date, the articles reflect the current state of affairs very well. Most of them are self-contained and define the various terms and quantities carefully before using them. That leads to a certain amount of redundant information and overlap, yet it enables the reader to simply dip in and get a good idea of what the hot topics in complex networks are. I strongly recommend the book to anyone who wants to start her or his own work in complex networks." (Contemporary Physics 2005, 46, page 240-241)

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