| Dewey Class |
511.1 |
| Title |
Probabilistic Methods for Algorithmic Discrete Mathematics ([EBook] /) / edited by Michel Habib, Colin McDiarmid, Jorge Ramirez-Alfonsin, Bruce Reed. |
| Added Personal Name |
Habib, Michel editor. |
| McDiarmid, Colin editor. |
| Ramirez-Alfonsin, Jorge editor. |
| Reed, Bruce editor. |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1998. |
| Physical Details |
XVII, 325 p. : online resource. |
| Series |
Algorithms and Combinatorics 0937-5511 ; ; 16 |
| ISBN |
9783662127889 |
| Summary Note |
The book gives an accessible account of modern pro- babilistic methods for analyzing combinatorial structures and algorithms. Each topic is approached in a didactic manner but the most recent developments are linked to the basic ma- terial. Extensive lists of references and a detailed index will make this a useful guide for graduate students and researchers. Special features included: - a simple treatment of Talagrand inequalities and their applications - an overview and many carefully worked out examples of the probabilistic analysis of combinatorial algorithms - a discussion of the "exact simulation" algorithm (in the context of Markov Chain Monte Carlo Methods) - a general method for finding asymptotically optimal or near optimal graph colouring, showing how the probabilistic method may be fine-tuned to explit the structure of the underlying graph - a succinct treatment of randomized algorithms and derandomization techniques.: |
| Contents note |
The Probabilistic Method -- Probabilistic Analysis of Algorithms -- An Overview of Randomized Algorithms -- Mathematical Foundations of the Markov Chain Monte Carlo Method -- Percolation and the Random Cluster Model: Combinatorial and Algorithmic Problems -- Concentration -- Branching Processes and Their Applications in the Analysis of Tree Structures and Tree Algorithms -- Author Index. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-662-12788-9 |
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