Probabilistic Methods for Algorithmic Discrete Mathematics

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 mak...

Full description

Bibliographic Details
Other Authors: Habib, Michel (Editor), McDiarmid, Colin (Editor), Ramirez-Alfonsin, Jorge (Editor), Reed, Bruce (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1998, 1998
Edition:1st ed. 1998
Series:Algorithms and Combinatorics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 02681nmm a2200385 u 4500
001 EB000690858
003 EBX01000000000000000543940
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9783662127889 
100 1 |a Habib, Michel  |e [editor] 
245 0 0 |a Probabilistic Methods for Algorithmic Discrete Mathematics  |h Elektronische Ressource  |c edited by Michel Habib, Colin McDiarmid, Jorge Ramirez-Alfonsin, Bruce Reed 
250 |a 1st ed. 1998 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 1998, 1998 
300 |a XVII, 325 p  |b online resource 
505 0 |a 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 
653 |a Symbolic and Algebraic Manipulation 
653 |a Computer science 
653 |a Computer science / Mathematics 
653 |a Probability Theory 
653 |a Discrete Mathematics 
653 |a Discrete mathematics 
653 |a Theory of Computation 
653 |a Probabilities 
700 1 |a McDiarmid, Colin  |e [editor] 
700 1 |a Ramirez-Alfonsin, Jorge  |e [editor] 
700 1 |a Reed, Bruce  |e [editor] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Algorithms and Combinatorics 
028 5 0 |a 10.1007/978-3-662-12788-9 
856 4 0 |u https://doi.org/10.1007/978-3-662-12788-9?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 511.1 
520 |a 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