Intersection and Decomposition Algorithms for Planar Arrangements

Pankaj K. Agarwal (Duke University, North Carolina)

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English

Cambridge University Press
11 August 2011

Combinatorics & graph theory

Summary
Details

Several geometric problems can be formulated in terms of the arrangement of a collection of curves in a plane, which has made this one of the most widely studied topics in computational geometry. This book, first published in 1991, presents a study of various problems related to arrangements of lines, segments, or curves in the plane. The first problem is a proof of almost tight bounds on the length of (n,s)-Davenport–Schinzel sequences, a technique for obtaining optimal bounds for numerous algorithmic problems. Then the intersection problem is treated. The final problem is improving the efficiency of partitioning algorithms, particularly those used to construct spanning trees with low stabbing numbers, a very versatile tool in solving geometric problems. A number of applications are also discussed. Researchers in computational and combinatorial geometry should find much to interest them in this book.

By: Pankaj K. Agarwal (Duke University North Carolina)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm, Spine: 17mm
Weight: 440g
ISBN: 9780521168472
ISBN 10: 0521168473
Pages: 296
Publication Date: 11 August 2011
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active