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Forbidden Configurations in Discrete Geometry

Af: David Eppstein Engelsk Paperback

Forbidden Configurations in Discrete Geometry

Af: David Eppstein Engelsk Paperback
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This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of this unified view. Written with minimal prerequisites and featuring plenty of figures, this engaging book will be of interest to undergraduate students and researchers in mathematics and computer science. Most topics are introduced with a related puzzle or brain-teaser. The topics range from abstract issues of collinearity, convexity, and general position to more applied areas including robust statistical estimation and network visualization, with connections to related areas of mathematics including number theory, graph theory, and the theory of permutation patterns. Pseudocode is included for many algorithms that compute properties of point sets.
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This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of this unified view. Written with minimal prerequisites and featuring plenty of figures, this engaging book will be of interest to undergraduate students and researchers in mathematics and computer science. Most topics are introduced with a related puzzle or brain-teaser. The topics range from abstract issues of collinearity, convexity, and general position to more applied areas including robust statistical estimation and network visualization, with connections to related areas of mathematics including number theory, graph theory, and the theory of permutation patterns. Pseudocode is included for many algorithms that compute properties of point sets.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 238
ISBN-13: 9781108439138
Indbinding: Paperback
Udgave:
ISBN-10: 1108439136
Kategori: Diskret matematik
Udg. Dato: 17 maj 2018
Længde: 15mm
Bredde: 228mm
Højde: 153mm
Forlag: Cambridge University Press
Oplagsdato: 17 maj 2018
Forfatter(e): David Eppstein
Forfatter(e) David Eppstein

Kategori Diskret matematik

ISBN-13 9781108439138

Sprog Engelsk

Indbinding Paperback

Sider 238

Udgave

Længde 15mm

Bredde 228mm

Højde 153mm

Udg. Dato 17 maj 2018

Oplagsdato 17 maj 2018

Forlag Cambridge University Press