| Handbook of Large-Scale Random Networks 2009 Edition Contributor(s): Bollobas, Bela (Editor), Kozma, Robert (Editor), Miklos, Dezso (Editor) |
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ISBN: 3540693947 ISBN-13: 9783540693949 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: July 2009 Annotation: This handbook describes advances in large scale network studies, that have taken place in the past 5 years since the publication of the a oeHandbook of Graphs and Networksa by Wiley-VCH in 2003. The book 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, applying concepts of large-scale networks. Applications span from microscopic to mesoscopic, and macroscopic models. The book is based on material of an NSF workshop on Large-scale Random Graphs that was held at the Alfred Renyi Institute of Mathematics of the Hungarian Academy of Sciences in Budapest in 2006. |
| Additional Information |
| BISAC Categories: - Science | System Theory - Mathematics | Combinatorics - Mathematics | Graphic Methods |
| Dewey: 511.5 |
| Series: Bolyai Society Mathematical Studies |
| Physical Information: 1.3" H x 6.9" W x 9.3" (2.20 lbs) 600 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: With the advent of digital computers more than half a century ago, - searchers working in a wide range of scienti?c disciplines have obtained an extremely powerful tool to pursue deep understanding of natural processes in physical, chemical, and biological systems. Computers pose a great ch- lenge to mathematical sciences, as the range of phenomena available for rigorous mathematical analysis has been enormously expanded, demanding the development of a new generation of mathematical tools. There is an explosive growth of new mathematical disciplines to satisfy this demand, in particular related to discrete mathematics. However, it can be argued that at large mathematics is yet to provide the essential breakthrough to meet the challenge. The required paradigm shift in our view should be compa- ble to the shift in scienti?c thinking provided by the Newtonian revolution over 300 years ago. Studies of large-scale random graphs and networks are critical for the progress, using methods of discrete mathematics, probabil- tic combinatorics, graph theory, and statistical physics. Recent advances in large scale random network studies are described in this handbook, which provides a signi?cant update and extension - yond the materials presented in the "Handbook of Graphs and Networks" published in 2003 by Wiley. The present volume puts special emphasis on large-scale networks and random processes, which deemed as crucial for - tureprogressinthe?eld. Theissuesrelatedtorandomgraphsandnetworks pose very di?cult mathematical questions. |