Handbook of Large-Scale Random Networks (eBook, PDF)

Redaktion: Bollobas, Bela; Miklos, Dezso; Kozma, Robert

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 600
• Erscheinungstermin: 17. Mai 2010
• Englisch
• ISBN-13: 9783540693956
• Artikelnr.: 37371954

Inhaltsangabe

Random Graphs and Branching Processes.- Percolation, Connectivity, Coverage and Colouring of Random Geometric Graphs.- Scaling Properties of Complex Networks and Spanning Trees.- Random Tree Growth with Branching Processes - A Survey.- Reaction-diffusion Processes in Scale-free Networks.- Toward Understanding the Structure and Function of Cellular Interaction Networks.- Scale-Free Cortical Planar Networks.- Reconstructing Cortical Networks: Case of Directed Graphs with High Level of Reciprocity.- k-Clique Percolation and Clustering.- The Inverse Problem of Evolving Networks - with Application to Social Nets.- Learning and Representation: From Compressive Sampling to the 'Symbol Learning Problem'.- Telephone Call Network Data Mining: A Survey with Experiments.

Rezensionen

From the reviews:

"It is a collection of papers on advances in the field of large-scale networks ... . The material presented here is based on a workshop organized in Budapest in 2006. ... An ideal reader of the book may be a mathematician ... ." (Miklós Bóna, The Mathematical Association of America, February, 2010)

"The volume is an outcome of a U.S.-Hungarian workshop on complex networks held at the Rényi Istitute in Budapest in 2006. ... I quite enjoyed reading the book. The choice of topics and presentations is illustrative of the type of work taking place in this area ... . are likely to be useful to the theoretical computer scientist interested in random structures and algorithms, but most of the chapters were reasonably interesting to me." (Gabriel Istrate, SIGACT News, April, 2012)