Random Graphs (Wiley Series in Discrete Mathematics and Optimization)
Janson, Svante; Luczak, Tomasz; Rucinski, Andrzej
ISBN 10: 0471175412 ISBN 13: 9780471175414
Published by Wiley-Interscience, 2000
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Synopsis:
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
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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Title: Random Graphs (Wiley Series in Discrete ...
Publisher: Wiley-Interscience
Publication Date: 2000
Binding: Hardcover
Condition: New
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Random Graphs
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Random Graphs (Hardcover)
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Hardcover. Condition: new. Hardcover. 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 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780471175414
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Random Graphs (Hardcover)
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ISBN 10: 0471175412
ISBN 13: 9780471175414
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Hardcover. Condition: new. Hardcover. 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 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780471175414
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Gebunden. Condition: New. 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. (Bulleti. Seller Inventory # 446914907