Forbidden Configurations in Discrete Geometry (Paperback)

David Eppstein

ISBN 10: 1108439136 / ISBN 13: 9781108439138

Published by Cambridge University Press, Cambridge, 2018

About this Item

Paperback. 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. This engaging book unifies mathematical and computational properties of finite sets of points in the plane using forbidden configurations, which are patterns that cannot appear in sets with a given property, and helps students and researchers explore the implications of this unified view of discrete geometry. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Seller Inventory # 9781108439138

Bibliographic Details

• Title: Forbidden Configurations in Discrete Geometry (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2018
• Language: English
• ISBN 10: 1108439136
• ISBN 13: 9781108439138
• Binding: Paperback
• Condition: new

About this title

Synopsis

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.

About the Author

David Eppstein is Chancellor's Professor of Computer Science at the University of California, Irvine. He has over 350 publications on subjects including discrete and computational geometry, graph theory, graph algorithms, data structures, robust statistics, social network analysis and visualization, mesh generation, biosequence comparison, exponential algorithms, and recreational mathematics. He has been the moderator for data structures and algorithms on arXiv.org since 2006, and is a major contributor to Wikipedia's articles on mathematics and theoretical computer science. He was elected as an ACM fellow in 2012.