"The purpose of the book is to give a comprehensive and detailed introduction to the computational complexity of counting and sampling. The book will consist of three main topics: I. Counting problems that are solvable in polynomial running time, II. Approximation algorithms for counting and sampling, III. Holographic algorithms"--
مندرجات
Background on computational complexity -- Algebraic dynamic programming and monotone computations -- Linear algebraic algorithms. The power of subtracting -- #P-complete counting problems -- Holographic algorithms -- Methods of random generations -- Mixing of Markov chains and their applications in the theory of counting and sampling -- Approximable counting and sampling problems
