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Random Graphs

Random Graphs

Random Graphs
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Random Graphs Hardback - 2000

by Svante Janson

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Details

  • Title Random Graphs
  • Author Svante Janson
  • Binding Hardback
  • Edition 1st
  • Condition New
  • Pages 348
  • Volumes 1
  • Language ENG
  • Publisher Wiley-Interscience, ^^ in Stock: we Ship at Once fr. IL USA;
  • Publication date 2000-03-13
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • Bookseller's Inventory # 31133
  • ISBN 9780471175414 / 0471175412
  • Weight 1.25 lbs (0.57 kg)
  • Dimensions 9.7 x 6.4 x 0.82 in (24.64 x 16.26 x 2.08 cm)
  • Category Mathematics
  • Library of Congress subjects Random graphs
  • Library of Congress Catalogue Number 99089121
  • Dewey Decimal Code 511.5
  • Quantity available 5

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Reader reviews for Random Graphs

From the publisher

Die Theorie der Zufallsgraphen hat sich als eigenstndiges Fachgebiet der diskreten Mathematik zwischen der Graphentheorie, der Kombinatorik und der Wahrscheinlichkeitsrechnung etabliert. Diese verstndlich geschriebene Einfhrung bringt das moderne Thema auch fortgeschrittenen Studenten nahe. Grundlagen werden dabei ebenso ausfhrlich behandelt wie neueste Entwicklungen. (05/00)

First line

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From the rear cover

A unified, modern treatment of the theory of random graphs-including recent results and techniques
Since its inception in the 1960s, the theory of random graphs has evolved into a dynamic branch of discrete mathematics. Yet despite the lively activity and important applications, the last comprehensive volume on the subject is Bollobas's well-known 1985 book. Poised to stimulate research for years to come, this new work covers developments of the last decade, providing a much-needed, modern overview of this fast-growing area of combinatorics. Written by three highly respected members of the discrete mathematics community, the book incorporates many disparate results from across the literature, including results obtained by the authors and some completely new results. Current tools and techniques are also thoroughly emphasized. Clear, easily accessible presentations make Random Graphs an ideal introduction for newcomers to the field and an excellent reference for scientists interested in discrete mathematics and theoretical computer science. Special features include:
* A focus on the fundamental theory as well as basic models of random graphs
* A detailed description of the phase transition phenomenon
* Easy-to-apply exponential inequalities for large deviation bounds
* An extensive study of the problem of containing small subgraphs
* Results by Bollobas and others on the chromatic number of random graphs
* The result by Robinson and Wormald on the existence of Hamilton cycles in random regular graphs
* A gentle introduction to the zero-one laws
* Ample exercises, figures, and bibliographic references

Media reviews

Citations

  • Scitech Book News, 12/01/2000, Page 35

About the author

SVANTE JANSON, PhD, is Professor of Mathematics at Uppsala University, Sweden.

TOMASZ LUCZAK, PhD, is Professor of Mathematics at Adam Mickiewicz University, Poland, and a visiting professor at Emory University, Atlanta, Georgia.

ANDRZEJ RUCINSKI, PhD, is Professor of Mathematics at Adam Mickiewicz University and a visiting professor at Emory University.

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