Computational Complexity of Counting and Sampling

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A01=Istvan Miklos
advanced counting and sampling techniques
Aperiodic Markov Chain
Approximation Algorithms
Author_Istvan Miklos
Category=PBV
Category=UMB
Combinatorics
complexity theory applications
Convex Body
Counting and Sampling
Counting Problems
discrete mathematics
DNF
enumerative combinatorics
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eq_computing
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
graduate level textbook
Hamiltonian Cycles
Holographic Algorithms
Independent Set
Input Vertices
Isolated Vertex
Markov Chain
Markov Chain Monte Carlo Method
Markov Graph
Np Complete Problem
Output Vertices
Planar Bipartite Graph
Planar Graph
Polynomial Time
Polynomially Reducible
Problem Instance
random generation methods
Rejection Sampling
Satisfying Assignment
stochastic algorithms
Tensor Product
Total Variation Distance

Product details

  • ISBN 9781138035577
  • Weight: 598g
  • Dimensions: 156 x 234mm
  • Publication Date: 20 Feb 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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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

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.

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