Cascading Divide-and-Conquer: A Technique for Designing Parallel Algorithms

Mikhail J. Atallah, Richard Cole

ISBN 10: 1332870325 / ISBN 13: 9781332870325

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book presents a powerful technique called cascading divide-and-conquer, a set of efficient algorithms for solving geometric problems in parallel. It improves on existing methods by offering reduced time complexity for a wide range of problems, including segment intersection detection, trapezoidal decomposition, and planar point location. The book also introduces new techniques: fractional cascading, and plane sweep tree construction. It shows how to apply cascading divide-and-conquer to solve the challenging 3D maxima, 2-set dominance counting, and visibility from a point problems. All of the algorithms presented run in O (log n) time with either linear or sub-linear processors in the CREW PRAM model. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781332870325_0

Bibliographic Details

• Title: Cascading Divide-and-Conquer: A Technique for Designing Parallel Algorithms
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1332870325
• ISBN 13: 9781332870325
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Geometry

About this title

Synopsis

Excerpt from Cascading Divide-and-Conquer: A Technique for Designing Parallel Algorithms (Classic Reprint)

Visibility from a Point: Given n line segments such that no two intersect (except possibly at endpoints) and a point p, determine that part of the plane visible from p if all the segments are opaque. A (log nlog log n,u) solution was given in We improve this to (log n,u).

About the Author

Atallah, Computer Science Department, Purdue University, West Lafayette, Indiana.

Richard Cole was the tour manager for Led Zeppelin for twelve years. He has also traveled with other rock bands and artists, including Black Sabbath, The Who, Eric Clapton, The Yardbirds, Ozzy Osbourne, and, most recently, Crazy Town. He now divides his time between Venice, California, and London.

Goodrich of Johns Hopkins University