Statistical Mechanics of Complex Networks

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

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.

• complex networks
• correlation
• evolution
• graphs
• mechanics
• network topology
• optimization

"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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