© 2008

Handbook of Large-Scale Random Networks

  • Béla Bollobás
  • Robert Kozma
  • Dezső Miklós

Part of the Bolyai Society Mathematical Studies book series (BSMS, volume 18)

Table of contents

  1. Front Matter
    Pages 1-14
  2. Béla Bollobás, Oliver Riordan
    Pages 15-115
  3. Paul Balister, Amites Sarkar, Béla Bollobás
    Pages 117-142
  4. Reuven Cohen, Shlomo Havlin
    Pages 143-169
  5. Anna Rudas, Bálint Tóth
    Pages 171-202
  6. Michele Catanzaro, Marián Boguñá, Romualdo Pastor-Satorras
    Pages 203-237
  7. Juilee Thakar, Claire Christensen, Réka Albert
    Pages 239-275
  8. Walter J. Freeman, Robert Kozma, Béla Bollobá, Oliver Riordan
    Pages 277-324
  9. Tamás Nepusz, László Négyessy, Gábor Tusnády, Fülöp Bazsó
    Pages 325-368
  10. Gergely Palla, Dániel Ábel, Illés J. Farkas, Péter Pollner, Imre Derényi, Tamás Vicsek
    Pages 369-408
  11. Gábor Csárdi, Katherine J. Strandburg, Jan Tobochnik, Péter Érdi
    Pages 409-443
  12. Miklós Kurucz, László Lukács, Dávid Silklói, András A. Benczúr, Károly Csalogány, András Lukács
    Pages 489-530
  13. Back Matter
    Pages 531-538

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.


Brain Dynamics Criticality Graph Graph theory Phase transitions Random Graphs Scale-free networks Synchrony complex network

Editors and affiliations

  • Béla Bollobás
    • 1
    • 2
  • Robert Kozma
    • 2
  • Dezső Miklós
    • 3
  1. 1.Department of Pure Mathematics & Mathematical StatisticsUniversity of Cambridge, Centre for Mathematical SciencesCambridgeUK
  2. 2.Dept. Mathematical SciencesUniversity of MemphisMemphisUSA
  3. 3.Alfréd Rényi Inst. of MathematicsBudapestHungary

Bibliographic information

Industry Sectors
Finance, Business & Banking


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)