The disc covering problem asks to cover a set of points on the plane with a minimum number of fix-sized discs. We develop an O(n(log n)2 (log log n)2 ) deterministic time 2.8334-a...
We study the following problem: Given a set of red points and a set of blue points on the plane, find two unit disks CR and CB with disjoint interiors such that the number of red ...
In this paper, we show some properties of a pseudotriangle and present three combinatorial bounds: the ratio of the size of minimum pseudotriangulation of a point set S and the siz...
Given a set P of n points in the plane, we wish to find a set Q P of k points for which the convex hull conv(Q) has the minimum area. We solve this, and the related problem of fi...
The following planar minimum disk cover problem is considered in this paper: given a set D of n disks and a set P of m points in the Euclidean plane, where each disk covers a subse...