Probability Theory of Classical Euclidean Optimization Problems (Lecture Notes in Mathematics, 1675, Band 1675) - Softcover

Yukich, Joseph E.

 
9783540636663: Probability Theory of Classical Euclidean Optimization Problems (Lecture Notes in Mathematics, 1675, Band 1675)
Softcover
ISBN 10: 3540636668 ISBN 13: 9783540636663
Verlag: Springer, 2009

Inhaltsangabe

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.

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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540636668
ISBN 13 
9783540636663
Einband
Taschenbuch
Anzahl der Seiten
164
Kontakt zum Hersteller
Nicht verfügbar
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