Forbidden Configurations in Discrete Geometry

Forbidden Configurations in Discrete Geometry

EnglishPaperback / softback
Eppstein David
Cambridge University Press
EAN: 9781108439138
On order
Delivery on Friday, 24. of January 2025
€44.89
Common price €49.88
Discount 10%
pc
Do you want this product today?
Oxford Bookshop Banská Bystrica
not available
Oxford Bookshop Bratislava
not available
Oxford Bookshop Košice
not available

Detailed information

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.
EAN 9781108439138
ISBN 1108439136
Binding Paperback / softback
Publisher Cambridge University Press
Publication date May 17, 2018
Pages 238
Language English
Dimensions 228 x 152 x 10
Country United Kingdom
Readership Professional & Scholarly
Authors Eppstein David
Illustrations Worked examples or Exercises