Format:
1 Online-Ressource (ix, 230 Seiten)
ISBN:
9781108539180
Content:
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
Additional Edition:
ISBN 9781108423915
Additional Edition:
ISBN 9781108439138
Additional Edition:
Erscheint auch als Druck-Ausgabe Eppstein, David, 1963 - Forbidden configurations in discrete geometry Cambridge, United Kingdom : Cambridge University Press, 2018 ISBN 9781108423915
Additional Edition:
ISBN 9781108439138
Language:
English
Keywords:
Diskrete Geometrie
;
Planarer Graph
;
Konfiguration
DOI:
10.1017/9781108539180
URL:
Volltext
(lizenzpflichtig)
Author information:
Eppstein, David 1963-
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