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We study the problem of designing kinetic data structures (KDS's for short) when event times cannot be computed exactly and events may be processed in a wrong order. In tradi...
Mohammad Ali Abam, Pankaj K. Agarwal, Mark de Berg...
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 present a kinetic data structure for maintaining a (1+ )-spanner of size O(n/2 ) for a set of n moving points in the plane. Assuming the trajectories of the points can be descr...
Mohammad Ali Abam, Mark de Berg, Joachim Gudmundss...
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
We design compact and responsive kinetic data structures for detecting collisions between n convex fat objects in 3-dimensional space that can have arbitrary sizes. Our main result...
Mohammad Ali Abam, Mark de Berg, Sheung-Hung Poon,...