Bolyai Society Mathematical Studies

Handbook of Large-Scale Random Networks

Editors: Bollobas, Bela, Kozma, Robert, Miklós, Dezső (Eds.)

  • 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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eBook $159.00
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  • ISBN 978-3-540-69395-6
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  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-3-540-69394-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
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  • ISBN 978-3-642-24229-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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

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)

  • Random Graphs and Branching Processes

    Bollobás, Béla (et al.)

    Pages 15-115

  • Percolation, Connectivity, Coverage and Colouring of Random Geometric Graphs

    Balister, Paul (et al.)

    Pages 117-142

  • Scaling Properties of Complex Networks and Spanning Trees

    Cohen, Reuven (et al.)

    Pages 143-169

  • Random Tree Growth with Branching Processes — A Survey

    Rudas, Anna (et al.)

    Pages 171-202

  • Reaction-diffusion Processes in Scale-free Networks

    Catanzaro, Michele (et al.)

    Pages 203-237

Buy this book

eBook $159.00
price for USA
  • ISBN 978-3-540-69395-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $209.00
price for USA
  • ISBN 978-3-540-69394-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $209.00
price for USA
  • ISBN 978-3-642-24229-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Handbook of Large-Scale Random Networks
Editors
  • 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