Computational Complexity of Counting and Sampling

Istvan Miklos (Renyi Institute, Budapest, Hungary)

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Hardback

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English

CRC Press
18 February 2019

Combinatorics & graph theory; Algorithms & data structures

Series: Discrete Mathematics and Its Applications

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

By: Istvan Miklos (Renyi Institute Budapest Hungary)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 453g
ISBN: 9781138070837
ISBN 10: 1138070831
Series: Discrete Mathematics and Its Applications
Pages: 408
Publication Date: 18 February 2019
Audience: College/higher education , General/trade , Primary , ELT Advanced
Format: Hardback
Publisher's Status: Active

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.