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DCG
2010
93views more  DCG 2010»
13 years 7 months ago
The Number of Generalized Balanced Lines
Let S be a set of r red points and b = r +2 blue points in general position in the plane. A line determined by them is said to be balanced if in each open half-plane bounded by th...
David Orden, Pedro Ramos, Gelasio Salazar
COMGEO
2008
ACM
13 years 7 months ago
Covering point sets with two disjoint disks or squares
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 ...
Sergio Cabello, José Miguel Díaz-B&a...
CCCG
2010
13 years 8 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
13 years 8 months ago
Blocking delaunay triangulations
Given a set B of n blue points in general position, we say that a set of red points R blocks B if in the Delaunay triangulation of B R there is no edge connecting two blue points...
Oswin Aichholzer, Ruy Fabila Monroy, Thomas Hackl,...
CCCG
2010
13 years 8 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...
JCDCG
2000
Springer
13 years 11 months ago
Generalized Balanced Partitions of Two Sets of Points in the Plane
We consider the following problem. Let n 2, b 1 and q 2 be integers. Let R and B be two disjoint sets of n red points and bn blue points in the plane, respectively, such that no...
Atsushi Kaneko, Mikio Kano
COMPGEOM
2004
ACM
14 years 23 days ago
Geodesic ham-sandwich cuts
Let P be a simple polygon with m vertices, k of which are reflex, and which contains r red points and b blue points in its interior. Let n = m + r + b. A ham-sandwich geodesic is ...
Prosenjit Bose, Erik D. Demaine, Ferran Hurtado, J...