Probabilistic method / Noga Alon and Joel H. Spencer.
Material type: TextPublication details: New Jersey : John Wiley, ©2016.Edition: 4th edDescription: xiv, 375 pages : illustrations ; 24 cmISBN:- 9781119061953
- 511.6 23 Al454
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
Books | ISI Library, Kolkata | 511.6 Al454 (Browse shelf(Opens below)) | Available | 138030 |
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511.6 Ai289 Combinatorial theory | 511.6 Al454 Probabilistic method | 511.6 Al454 Probabilistic method | 511.6 Al454 Probabilistic method / | 511.6 Al462 Algorithmic aspects of combinatorics | 511.6 Ap648 Traveling salesman problem a computational study | 511.6 Ap648 Traveling salesman problem a computational study |
Includes bibliographical references and indexes.
1. The basic method --
2. Linearity of expectation --
3. Alterations --
4. The second moment --
5. The local lemma --
6. Correlation inequalities --
7. Martingales and tight concentration --
8. The Poisson paradigm --
9. Quasirandomness --
10. Random graphs --
11. The Erdos-Renyi phase transition --
12 Circuit complexity --
13. Discrepancy --
14. Geometry --
15. Codes, games and entropy --
16. Derandomization --
17. Graph property testing --
Appendices.
This is a classic in probabilistic methods as applied specifically to combinatorics and computations. The specific applications of the probabilistic methods in number theory have novel presentation hard to find elsewhere.
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