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Probability Theory of Classical Euclidean Optimization Problems

Name: Probability Theory of Classical Euclidean Optimization Problems
Brand: Springer, Berlin
SKU: 01566497
Price: 36.1 EUR
Availability: InStock
Author: Joseph E. Yukich
ISBN: 9783540636663

Joseph E. Yukich

Language

English

Book Paperback

Libristo code: 01566497

Publishers Springer, Berlin, November 1997

This monograph describes the stochastic behavior of the solutions to the classic problems of Euclide... Full description

Libristo code: 01566497

88 b

36.10 €

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This monograph describes the stochastic behavior of the solutions to the classic problems of Euclidean combinatorial optimization, computational geometry, and operations research. Using two-sided additivity and isoperimetry, it formulates general methods describing the total edge length of random graphs in Euclidean space. The approach furnishes strong laws of large numbers, large deviations, and rates of convergence for solutions to the random versions of various classic optimization problems, including the traveling salesman, minimal spanning tree, minimal matching, minimal triangulation, two-factor, and k-median problems. Essentially self-contained, this monograph may be read by probabilists, combinatorialists, graph theorists, and theoretical computer scientists.