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