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Télécharger "An Algorithmic Theory of Numbers, Graphs and Convexity" de Laszlo Lovasz Livre eBook France


Auteur : Laszlo Lovasz
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais


A study of how complexity questions in computing interact with classical mathematics in the numerical analysis of issues in algorithm design. Algorithmic designers concerned with linear and nonlinear combinatorial optimization will find this volume especially useful. Two algorithms are studied in detail: the ellipsoid method and the simultaneous diophantine approximation method. Although both were developed to study, on a theoretical level, the feasibility of computing some specialized problems in polynomial time, they appear to have practical applications. The book first describes use of the simultaneous diophantine method to develop sophisticated rounding procedures. Then a model is described to compute upper and lower bounds on various measures of convex bodies. Use of the two algorithms is brought together by the author in a study of polyhedra with rational vertices. The book closes with some applications of the results to combinatorial optimization.

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An Algorithmic Theory of Numbers, Graphs and Convexity ~ An Algorithmic Theory of Numbers, Graphs and Convexity Manage this Book. Add to my favorites. Download Citations . Track Citations . There is little doubt that the present explosion of interest in the algorithmic aspects of mathematics is due to the development of computers — even though special algorithms and their study can be traced back all the way through the history of mathematics .

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An Algorithmic Theory of Numbers, Graphs and Convexity ~ Algorithmic problems on convex sets. The Ellipsoid Method. Rational polyhedra. Some other algorithmic problems on convex sets Integer programming in a fixed dimension. iter 3. Some Applications in Combinatorics Cuts and joins. Chromatic number, cliques, and perfect graphs. Minimizing a submodular function. 87 References v . László Lovász Eötvös Loránd University Budapest, Hungary An .

An algorithmic theory of numbers, graphs, and convexity ~ An algorithmic theory of numbers, graphs, and convexity Laszlo Lovasz A study of how complexity questions in computing interact with classical mathematics in the numerical analysis of issues in algorithm design.

An Algorithmic Theory of Numbers, Graphs and Convexity ~ 1.0. Preliminaries: On algorithms involving numbers. The most common objects of mathematics (be it algorithmic or descriptive) are numbers. It is in fact somewhat difficult to convince a non-mathematician that mathematics is concerned with many other kinds of objects: groups, geometric configurations, graphs, etc.

An algorithmic theory of numbers, graphs, and convexity ~ A study of how complexity questions in computing interact with classical mathematics in the numerical analysis of issues in algorithm design. Algorithmic designers concerned with linear and nonlinear combinatorial optimization will find this volume especially useful. Two algorithms are studied in detail: the ellipsoid method and the simultaneous diophantine approximation method.

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An Algorithmic Theory of Numbers, Graphs and Convexity ~ An Algorithmic Theory of Numbers, Graphs and Convexity 作者 : Laszlo Lovasz 出版社: Society for Industrial and Applied Mathematics 出版年: 1987-1-1 页数: 97 定价: USD 43.00 装帧: Paperback ISBN: 9780898712032

CiNii 図書 - An algorithmic theory of numbers, graphs and ~ An algorithmic theory of numbers, graphs and convexity László Lovász (CBMS-NSF regional conference series in applied mathematics, 50) Society for Industrial and Applied Mathematics, 1986

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An Algorithmic Theory of Numbers, Graphs, and Convexity ~ An Algorithmic Theory of Numbers, Graphs, and Convexity. László Lovász. Publisher: SIAM. Publication Date: 1986. Number of Pages: 91. Format: Paperback. Series: C B M S - N S F Regional Conference Series in Applied Mathematics 50. Price: 33.50. ISBN: 0-89871-203-3 . Category: Textbook. MAA Review; Table of Contents; We do not plan to review this book. How to Round Numbers; Preliminaries: On .

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