Random Graphs

By: Svante JansonContributor(s): Tomasz Łuczak | Andrzej RucinskiMaterial type: TextTextPublication details: New Delhi: Wiley & Sons Inc., [c2000]Description: 333 pISBN: 9788126568383Subject(s): MathematicsLOC classification: QA166.17
Contents:
1. Preliminaries 2. Exponentially Small Probabilities 3. Small Subgraphs 4. Matchings 5. The Phase Transition (Pages: 103-138) 6. Asymptotic Distributions 7. The Chromatic Number 8. Extremal and Ramsey Properties 9. Random Regular Graphs 10. Zero-One Laws
Summary: A unified, modern treatment of the theory of random graphs-includes 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. -- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA166.17 (Browse shelf (Opens below)) Available Billno:IN 004 702; Billdate: 2018-03-08 01022
Total holds: 0

1. Preliminaries
2. Exponentially Small Probabilities
3. Small Subgraphs
4. Matchings
5. The Phase Transition (Pages: 103-138)
6. Asymptotic Distributions
7. The Chromatic Number
8. Extremal and Ramsey Properties
9. Random Regular Graphs
10. Zero-One Laws

A unified, modern treatment of the theory of random graphs-includes 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. -- summary provided by publisher

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