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Forbidden Configurations in Discrete Geometry
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kr 30
Forbidden Configurations in Discrete Geometry
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.
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: 153mm
Højde: 228mm
Oplagsdato: 17 maj 2018
Forfatter(e) David (University of California Eppstein, David Eppstein


Kategori Diskret matematik


Sprog Engelsk


Indbinding Paperback


Sider 238


Udgave


Længde 15mm


Bredde 153mm


Højde 228mm


Udg. Dato 17 maj 2018


Oplagsdato 17 maj 2018

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