Svante Janson, Tomasz Luczak, Andrzej Rucinski

Random Graphs

• Gebundenes Buch

Produktbeschreibung

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

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Produktdetails

• Wiley-Interscience Series in Discrete Mathematics and Optimization
• Verlag: Wiley & Sons
• 1. Auflage
• Seitenzahl: 348
• Erscheinungstermin: 13. März 2000
• Englisch
• Abmessung: 240mm x 161mm x 23mm
• Gewicht: 580g
• ISBN-13: 9780471175414
• ISBN-10: 0471175412
• Artikelnr.: 09411808

Autorenporträt

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.

Inhaltsangabe

Preliminaries.
Exponentially Small Probabilities.
Small Subgraphs.
Matchings.
The Phase Transition.
Asymptotic Distributions.
The Chromatic Number.
Extremal and Ramsey Properties.
Random Regular Graphs.
Zero-One Laws.
References.
Indexes.

Rezensionen

"Details developments in the theory of random graphs over the past decade, providing a much-needed overview of this area of combinatorics." (SciTech Book News, Vol. 24, No. 4, December 2000)
The book is well written, and the material is well chosen. (Bulletin of the London Mathematical Society, Volume 33, 2001)
"It is fifteen years since Bollobas's monograph appeared, and this new definitive work should take us through the next fifteen. Such is the importance and appeal of this book that is should find its way onto the shelves no only of those working directly in the area of random graphs, but also anyone with a more general interest in combinatorics, probability theory, or certain aspects of computer science." (Mathematical Reviews, Issue 2001k)
"...a beautiful presentation of new developments in the asymptotic theory of random graphs." (Zentralblatt MATH, Vol. 968, 2001/18)
"An introduction to the subject as well as a resource for those working in the field." (American Mathematical Monthly, January 2002)