A new approach to the dynamic maintenance of maximal points in a plane
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.
Frederickson, GN; Rodger, S
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