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CCCG
2010
15 years 1 months ago
Towards a dynamic data structure for efficient bounded line range search
We present a data structure for efficient axis-aligned orthogonal range search on a set of n lines in a bounded plane. The algorithm requires O(log n + k) time in the worst case t...
Thuy Le, Bradford G. Nickerson
CCCG
2010
15 years 1 months ago
Connected dominating sets on dynamic geometric graphs
We propose algorithms for efficiently maintaining a constant-approximate minimum connected dominating set (MCDS) of a geometric graph under node insertions and deletions. Assuming...
Leonidas J. Guibas, Nikola Milosavljevic, Arik Mot...
CCCG
2010
15 years 1 months ago
Hausdorff core of a one reflex vertex polygon
In this paper we present a polynomial time algorithm for computing a Hausdorff core of a polygon with a single reflex vertex. A Hausdorff core of a polygon P is a convex polygon Q...
Robert Fraser, Patrick K. Nicholson
CCCG
2010
15 years 1 months ago
Finding monochromatic l-shapes in bichromatic point sets
Given a set R of red points and a set B of blue points in the plane of total size n, we study the problem of determining all angles for which there exists an L-shape containing al...
Farnaz Sheikhi, Mark de Berg, Ali Mohades, Mansoor...
CCCG
2010
15 years 1 months ago
On polygons excluding point sets
By a polygonization of a finite point set S in the plane we understand a simple polygon having S as the set of its vertices. Let B and R be sets of blue and red points, respective...
Radoslav Fulek, Balázs Keszegh, Filip Moric...