Handbook of Large-Scale Random Networks
Editors: Bollobas, Bela, Kozma, Robert, Miklós, Dezső (Eds.)
Free Preview- Offers a comprehensive overview of random graphs and networks
- Emphasis is on modeling complex real-world networks such as brains, biological and physical memories, computer systems and communication
- New conjectures are outlined and new directions for future research are defined
- A 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 behavior in networks
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- About this book
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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. - Reviews
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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)
- Table of contents (12 chapters)
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Random Graphs and Branching Processes
Pages 15-115
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Percolation, Connectivity, Coverage and Colouring of Random Geometric Graphs
Pages 117-142
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Scaling Properties of Complex Networks and Spanning Trees
Pages 143-169
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Random Tree Growth with Branching Processes — A Survey
Pages 171-202
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Reaction-diffusion Processes in Scale-free Networks
Pages 203-237
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Handbook of Large-Scale Random Networks
- Editors
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- Bela Bollobas
- Robert Kozma
- Dezső Miklós
- Series Title
- Bolyai Society Mathematical Studies
- Series Volume
- 18
- Copyright
- 2008
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-540-69395-6
- DOI
- 10.1007/978-3-540-69395-6
- Hardcover ISBN
- 978-3-540-69394-9
- Softcover ISBN
- 978-3-642-24229-8
- Series ISSN
- 1217-4696
- Edition Number
- 1
- Number of Pages
- 600
- Topics
