
A new approach to the dynamic maintenance of maximal points in a plane
Publication
, Journal Article
Frederickson, GN; Rodger, S
Published in: Discrete & Computational Geometry
December 1, 1990
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.
Duke Scholars
Published In
Discrete & Computational Geometry
DOI
EISSN
1432-0444
ISSN
0179-5376
Publication Date
December 1, 1990
Volume
5
Issue
1
Start / End Page
365 / 374
Related Subject Headings
- Computation Theory & Mathematics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Frederickson, G. N., & Rodger, S. (1990). A new approach to the dynamic maintenance of maximal points in a plane. Discrete & Computational Geometry, 5(1), 365–374. https://doi.org/10.1007/BF02187797
Frederickson, G. N., and S. Rodger. “A new approach to the dynamic maintenance of maximal points in a plane.” Discrete & Computational Geometry 5, no. 1 (December 1, 1990): 365–74. https://doi.org/10.1007/BF02187797.
Frederickson GN, Rodger S. A new approach to the dynamic maintenance of maximal points in a plane. Discrete & Computational Geometry. 1990 Dec 1;5(1):365–74.
Frederickson, G. N., and S. Rodger. “A new approach to the dynamic maintenance of maximal points in a plane.” Discrete & Computational Geometry, vol. 5, no. 1, Dec. 1990, pp. 365–74. Scopus, doi:10.1007/BF02187797.
Frederickson GN, Rodger S. A new approach to the dynamic maintenance of maximal points in a plane. Discrete & Computational Geometry. 1990 Dec 1;5(1):365–374.

Published In
Discrete & Computational Geometry
DOI
EISSN
1432-0444
ISSN
0179-5376
Publication Date
December 1, 1990
Volume
5
Issue
1
Start / End Page
365 / 374
Related Subject Headings
- Computation Theory & Mathematics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0101 Pure Mathematics