The Resource An algorithmic theory of numbers, graphs, and convexity, László Lovász, (electronic resource)

An algorithmic theory of numbers, graphs, and convexity, László Lovász, (electronic resource)

Label
An algorithmic theory of numbers, graphs, and convexity
Title
An algorithmic theory of numbers, graphs, and convexity
Statement of responsibility
László Lovász
Creator
Contributor
Provider
Subject
Language
eng
Summary
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
Member of
Cataloging source
CaBNVSL
http://library.link/vocab/creatorDate
1948-
http://library.link/vocab/creatorName
Lovász, László
Index
no index present
LC call number
QA241
LC item number
.L68 1986eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Society for Industrial and Applied Mathematics
  • Society for Industrial and Applied Mathematics
Series statement
CBMS-NSF regional conference series in applied mathematics
Series volume
50
http://library.link/vocab/subjectName
  • Number theory
  • Graph theory
  • Convex domains
Target audience
adult
Label
An algorithmic theory of numbers, graphs, and convexity, László Lovász, (electronic resource)
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 87-91)
Color
black and white
Contents
How to round numbers -- Preliminaries: on algorithms involving numbers -- Diophantine approximation, problems -- Lattices, bases, and the reduction problem -- Diophantine approximation and rounding -- What is a real number how to round a convex body -- Preliminaries: inputting a set -- Algorithmic problems on convex sets -- The ellipsoid method -- Rational polyhedra -- Some other algorithmic problems on convex sets -- Integer programming in fixed dimension -- Some applications in combinatorics -- Cuts and joins -- Chromatic number, cliques and perfect graphs -- Minimizing a submodular function
Dimensions
unknown
Extent
1 electronic text (iii, 91 p.)
File format
multiple file formats
Form of item
online
Isbn
9781611970203
Other physical details
digital file.
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNVSL)gtp00547315
  • (SIAM)9781611970203
Label
An algorithmic theory of numbers, graphs, and convexity, László Lovász, (electronic resource)
Publication
Bibliography note
Includes bibliographical references (p. 87-91)
Color
black and white
Contents
How to round numbers -- Preliminaries: on algorithms involving numbers -- Diophantine approximation, problems -- Lattices, bases, and the reduction problem -- Diophantine approximation and rounding -- What is a real number how to round a convex body -- Preliminaries: inputting a set -- Algorithmic problems on convex sets -- The ellipsoid method -- Rational polyhedra -- Some other algorithmic problems on convex sets -- Integer programming in fixed dimension -- Some applications in combinatorics -- Cuts and joins -- Chromatic number, cliques and perfect graphs -- Minimizing a submodular function
Dimensions
unknown
Extent
1 electronic text (iii, 91 p.)
File format
multiple file formats
Form of item
online
Isbn
9781611970203
Other physical details
digital file.
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNVSL)gtp00547315
  • (SIAM)9781611970203

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