One of the most powerful and popular tools used in combinatorics is the probabilistic method. Describes current algorithmic techniques, applying both the classical method and the modern tools it uses. Along with a detailed description of the techniques used in probabilistic arguments, it includes ba
The probabilistic method in combinatorics
β Scribed by Alon N., Spencer J.H.
- Year
- 1990
- Tongue
- English
- Leaves
- 252
- Edition
- draft
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The probabilistic method has undergone intensive development in the wake of the increasing significance of randomness in theoretical computer science. This text features detailed descriptions of algorithmic techniques combined with a study of the classical method and the modern tools commonly applied in it.
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Probabilistic methods have become a vital tool in the arsenal of every combinatorialist. The theory of random graphs is still a prime area for the use of probabilistic methods, and, over the years, these methods have also proved of paramount importance in many associated areas such as the design