A new approach to the dynamic maintenance of maximal points in a plane
Journal Article (Journal Article)
A point pi=(xi, yi) in the x-y plane is maximal if there is no point pj=(xj, yj) such that xj>xi and yj>yi. We present a simple data structure, a dynamic contour search tree, which contains all the points in the plane and maintains an embedded linked list of maximal points so that m maximal points are accessible in O(m) time. Our data structure dynamically maintains the set of points so that insertions take O(log n) time, a speedup of O(log n) over previous results, and deletions take O((log n)2) time. © 1990 Springer-Verlag New York Inc.
Full Text
Duke Authors
Cited Authors
- Frederickson, GN; Rodger, S
Published Date
- December 1, 1990
Published In
Volume / Issue
- 5 / 1
Start / End Page
- 365 - 374
Electronic International Standard Serial Number (EISSN)
- 1432-0444
International Standard Serial Number (ISSN)
- 0179-5376
Digital Object Identifier (DOI)
- 10.1007/BF02187797
Citation Source
- Scopus