Probabilistic Methods for Algorithmic Discrete Mathematics [electronic resource] /
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.
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Format: | Texto biblioteca |
Language: | eng |
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Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1998
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Subjects: | Mathematics., Computers., Computer science, Probabilities., Discrete mathematics., Combinatorics., Discrete Mathematics., Computation by Abstract Devices., Symbolic and Algebraic Manipulation., Probability Theory and Stochastic Processes., |
Online Access: | http://dx.doi.org/10.1007/978-3-662-12788-9 |
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KOHA-OAI-TEST:1918562018-07-30T23:16:26ZProbabilistic Methods for Algorithmic Discrete Mathematics [electronic resource] / Habib, Michel. editor. McDiarmid, Colin. editor. Ramirez-Alfonsin, Jorge. editor. Reed, Bruce. editor. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,1998.engThe 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.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.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.Mathematics.Computers.Computer scienceProbabilities.Discrete mathematics.Combinatorics.Mathematics.Discrete Mathematics.Combinatorics.Computation by Abstract Devices.Symbolic and Algebraic Manipulation.Probability Theory and Stochastic Processes.Springer eBookshttp://dx.doi.org/10.1007/978-3-662-12788-9URN:ISBN:9783662127889 |
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Mathematics. Computers. Computer science Probabilities. Discrete mathematics. Combinatorics. Mathematics. Discrete Mathematics. Combinatorics. Computation by Abstract Devices. Symbolic and Algebraic Manipulation. Probability Theory and Stochastic Processes. Mathematics. Computers. Computer science Probabilities. Discrete mathematics. Combinatorics. Mathematics. Discrete Mathematics. Combinatorics. Computation by Abstract Devices. Symbolic and Algebraic Manipulation. Probability Theory and Stochastic Processes. |
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Mathematics. Computers. Computer science Probabilities. Discrete mathematics. Combinatorics. Mathematics. Discrete Mathematics. Combinatorics. Computation by Abstract Devices. Symbolic and Algebraic Manipulation. Probability Theory and Stochastic Processes. Mathematics. Computers. Computer science Probabilities. Discrete mathematics. Combinatorics. Mathematics. Discrete Mathematics. Combinatorics. Computation by Abstract Devices. Symbolic and Algebraic Manipulation. Probability Theory and Stochastic Processes. Habib, Michel. editor. McDiarmid, Colin. editor. Ramirez-Alfonsin, Jorge. editor. Reed, Bruce. editor. SpringerLink (Online service) Probabilistic Methods for Algorithmic Discrete Mathematics [electronic resource] / |
description |
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. |
format |
Texto |
topic_facet |
Mathematics. Computers. Computer science Probabilities. Discrete mathematics. Combinatorics. Mathematics. Discrete Mathematics. Combinatorics. Computation by Abstract Devices. Symbolic and Algebraic Manipulation. Probability Theory and Stochastic Processes. |
author |
Habib, Michel. editor. McDiarmid, Colin. editor. Ramirez-Alfonsin, Jorge. editor. Reed, Bruce. editor. SpringerLink (Online service) |
author_facet |
Habib, Michel. editor. McDiarmid, Colin. editor. Ramirez-Alfonsin, Jorge. editor. Reed, Bruce. editor. SpringerLink (Online service) |
author_sort |
Habib, Michel. editor. |
title |
Probabilistic Methods for Algorithmic Discrete Mathematics [electronic resource] / |
title_short |
Probabilistic Methods for Algorithmic Discrete Mathematics [electronic resource] / |
title_full |
Probabilistic Methods for Algorithmic Discrete Mathematics [electronic resource] / |
title_fullStr |
Probabilistic Methods for Algorithmic Discrete Mathematics [electronic resource] / |
title_full_unstemmed |
Probabilistic Methods for Algorithmic Discrete Mathematics [electronic resource] / |
title_sort |
probabilistic methods for algorithmic discrete mathematics [electronic resource] / |
publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
publishDate |
1998 |
url |
http://dx.doi.org/10.1007/978-3-662-12788-9 |
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_version_ |
1756266251310596096 |