An algorithm, described by Sedgewick, finds the distance between the closest pair of n given points in a plane using a variant of mergesort. This takes O(n log n) time. To prove t...
We present simple, fully dynamic and kinetic data structures, which are variants of a dynamic two-dimensional range tree, for maintaining the closest pair and all nearest neighbors...
We develop data structures for dynamic closest pair problems with arbitrary (not necessarily geometric) distance functions, based on a technique previously used by the author for ...
We consider a generalization of geometric range searching, with the goal of generating an informative "summary" of the objects contained in a query range via the applica...
Ravi Janardan, Prosenjit Gupta, Yokesh Kumar, Mich...
This paper addresses the problem of finding the K closest pairs between two spatial data sets, where each set is stored in a structure belonging in the R-tree family. Five diffe...
Antonio Corral, Yannis Manolopoulos, Yannis Theodo...