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A Couple of Simple Algorithms for -Dispersion
Ke Chen, Adrian Dumitrescu
Given a set of points in , and a positive integer , the -dispersion problem is that of selecting of the given points so that the minimum inte…
Arcs with increasing chords in
Adrian Dumitrescu, Zsolt Lángi
A curve that connects and has the increasing chord property if whenever lie in that order on . For planar curves, the length of such a cur…
General Position Subset Selection in Line Arrangements
Adrian Dumitrescu
Given a set of points in the plane, the \textsc{General Position Subset Selection} problem is that of finding a maximum-size subset of points in general position, i.e., with no thr…
A Purely Geometric Variant of the Gale-Berlekamp Switching Game
Adrian Dumitrescu, Jeck Lim, János Pach +1
We introduce the following variant of the Gale-Berlekamp switching game. Let be a set of n noncollinear points in the plane, each of them having weight or . At each st…
Two trees are better than one
Adrian Dumitrescu, János Pach, Géza Tóth
We consider partitions of a point set into two parts, and the lengths of the minimum spanning trees of the original set and of the two parts. If denotes the length of a mini…