| Intersection and Decomposition Algorithms for Planar Arrangements Contributor(s): Agarwal, Pankaj K. (Author), Pankaj K., Agarwal (Author) |
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ISBN: 0521404460 ISBN-13: 9780521404464 Publisher: Cambridge University Press OUR PRICE: $133.00 Product Type: Hardcover - Other Formats Published: April 1991 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - General - Mathematics | Discrete Mathematics |
| Dewey: 516.13 |
| LCCN: 91155565 |
| Physical Information: 0.8" H x 6.1" W x 9.2" (1.20 lbs) 294 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 |