Statistical Mechanics of Complex Networks

Romualdo Pastor-Satorras, Miguel Rubi, Albert Diaz-Guilera (eds.)3540403728, 9783540403722

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.

Table of contents :
Introduction….Pages 1-2
Rate Equation Approach for Growing Networks….Pages 3-22
Directed and Non-directed Scale-Free Networks….Pages 23-45
Hierarchical Organization of Modularity in Complex Networks….Pages 46-65
Mixing Patterns and Community Structure in Networks….Pages 66-87
Effect of Accelerated Growth on Networks Dynamics….Pages 88-113
Optimization in Complex Networks….Pages 114-126
Epidemic Spreading in Complex Networks with Degree Correlations….Pages 127-147
Food Web Structure and the Evolution of Complex Networks….Pages 148-166
Social Networks: From Sexual Networks to Threatened Networks….Pages 167-174
Search and Congestion in Complex Networks….Pages 175-194
Membrane Clusters of Ion Channels: Size Effects for Stochastic Resonance….Pages 195-206