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Algorithms for Random Generation and Counting: A Markov Chain Approach (Progress in Theoretical Computer Science), by A. Sinclair
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This monograph is a slightly revised version of my PhD thesis [86], com pleted in the Department of Computer Science at the University of Edin burgh in June 1988, with an additional chapter summarising more recent developments. Some of the material has appeared in the form of papers [50,88]. The underlying theme of the monograph is the study of two classical problems: counting the elements of a finite set of combinatorial structures, and generating them uniformly at random. In their exact form, these prob lems appear to be intractable for many important structures, so interest has focused on finding efficient randomised algorithms that solve them ap proxim~ly, with a small probability of error. For most natural structures the two problems are intimately connected at this level of approximation, so it is natural to study them together. At the heart of the monograph is a single algorithmic paradigm: sim ulate a Markov chain whose states are combinatorial structures and which converges to a known probability distribution over them. This technique has applications not only in combinatorial counting and generation, but also in several other areas such as statistical physics and combinatorial optimi sation. The efficiency of the technique in any application depends crucially on the rate of convergence of the Markov chain.
- Sales Rank: #4284758 in Books
- Brand: Brand: Birkhäuser
- Published on: 1993-02-01
- Original language: English
- Number of items: 1
- Dimensions: 9.21" h x .50" w x 6.14" l, .89 pounds
- Binding: Hardcover
- 147 pages
- Used Book in Good Condition
About the Author
Upton Sinclair (1878-1968), novelist and journalist, is best known for his novel about the Chicago meatpacking industry, "The Jungle". A paperback edition of his "I, Candidate for Governor" is available from California. Jules Tygiel is the author of "The Great Los Angeles Swindle: Oil, Stocks, and Scandal during the Roaring Twenties" (paperback California, 1996) and "The Great Experiment: Jackie Robinson and His Legacy". He is Professor of History at San Francisco State University.
April Sinclair is the author of "Coffee Will Make You Black and "Ain't Gonna Be the Same Fool Twice. She has been a fellow at the Djerassi, Yaddo, MacDowell, and Ragdale artist colonies. "Coffee Will Make You Black was named Book of the Year (Young Adult Fiction) for 1994 by the American Library Association. Sinclair also received the Carl Sandburg Award from the Friends of the Chicago Public Library for "Coffee Will Make You Black. She is a Chicago native and now lives in Berkeley, California.
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