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Computational Complexity of Counting and Sampling

Computational Complexity of Counting and Sampling

Authors
Publisher Taylor & Francis Ltd
Year 20/02/2019
Pages 390
Version paperback
Readership level College/higher education
ISBN 9781138035577
Categories Combinatorics & graph theory, Algorithms & data structures
$143.33 (with VAT)
537.00 PLN / €118.07 / £105.08
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Book description

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

Computational Complexity of Counting and Sampling

Table of contents

1. Background on computational complexity
2. Algebraic dynamic programming and monotone computations
3. Linear algebraic algorithms. The power of subtracting
4. #P-complete counting problems
5. Holographic algorithms
6. Methods of random generations
7. Mixing of Markov chains and their applications in the theory of
counting and sampling
8. Approximable counting and sampling problems

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