Computational Complexity of Counting and Sampling (Discrete Mathematics and Its Applications) - Softcover

Miklos, Istvan

Softcover

ISBN 10: 1138035572 ISBN 13: 9781138035577

Publisher: Chapman and Hall/CRC, 2019

Synopsis

Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared toward researchers in enumerative combinatorics, discrete mathematics, and theoretical computer science.

The book covers the following topics: Counting and sampling problems that are solvable in polynomial running time, including holographic algorithms; #P-complete counting problems; and approximation algorithms for counting and sampling.

First, it opens with the basics, such as the theoretical computer science background and dynamic programming algorithms. Later, the book expands its scope to focus on advanced topics, like stochastic approximations of counting discrete mathematical objects and holographic algorithms. After finishing the book, readers will agree that the subject is well covered, as the book starts with the basics and gradually explores the more complex aspects of the topic.

Features:

• Each chapter includes exercises and solutions
• Ideally written for researchers and scientists
• Covers all aspects of the topic, beginning with a solid introduction, before shifting to computational complexity’s more advanced features, with a focus on counting and sampling

About this title

About the Author

István Miklós is a Hungarian mathematician and bioinformatician at the Rényi Institute in Budapest. He holds a Ph.D. from Eotvos University in Budapest. His research interests lie in theoretical and applied computer science and combinatorics, particularly in the study of Markov chain, Monte Carlo methods and in sampling and counting combinatorial objects appearing in applied mathematics. He has more than 50 peer-reviewed scientific papers.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2019
• Language: English
• ISBN 10: 1138035572
• ISBN 13: 9781138035577
• Binding: Paperback
• Edition number: 1
• Number of pages: 408