Handbook of Large-Scale Random Networks
This handbook describes advances in large scale network studies that have taken place in the past 5 years since the publication of the Handbook of Graphs and Networks in 2003. It covers all aspects of large-scale networks, including mathematical foundations and rigorous results of random graph theory, modeling and computational aspects of large-scale networks, as well as areas in physics, biology, neuroscience, sociology and technical areas. Applications range from microscopic to mesoscopic and macroscopic models.
The book is based on the material of the NSF workshop on Large-scale Random Graphs held in Budapest in 2006, at the Alfréd Rényi Institute of Mathematics, organized jointly with the University of Memphis.
Offers a comprehensive overview of random graphs and networksEmphasis on modelling complex real-world networks such as brains, biological and physical memories, computer systems and communicationNew conjectures are outlined and new directions for future research are definedA link is established between the fundamental mathematical, graph theoretical approach and the approach based on methods of statistical physics Contains a detailed methodological description of various applications, such as reaction-diffusion equations, cellular regulation and intracellular networks, neural networks and brain networks, social networks, telecommunication and learning behaviors in networks