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Intersection and Decomposition Algorithms for Planar Arrangements

Intersection and Decomposition Algorithms for Planar Arrangements

Hardcover

General MathematicsGeometry

ISBN10: 0521404460
ISBN13: 9780521404464
Publisher: Cambridge University Press
Published: Apr 26 1991
Pages: 294
Weight: 1.20
Height: 0.80 Width: 6.10 Depth: 9.20
Language: English
This book 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.

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Geometry