Computational Complexity of Counting and Sampling

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 complexityâs more advanced features with a focus on counting and sampling . Language: English