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Artículo
Cover Contact Graphs
(2007)
We study problems that arise in the context of covering certain geometric objects (so-called seeds, e.g., points or disks) by a set of other geometric objects (a so-called cover, e.g., a set of disks or homothetic triangles). ...
Artículo
A new 2D tessellation for angle problems: The polar diagram
(2006)
The new approach we propose in this paper is a plane partition with similar features to those of the Voronoi Diagram, but the Euclidean minimum distance criterion is replaced for the minimal angle criterion. The result is ...
Artículo
Monochromatic geometric k-factors in red-blue sets with white and Steiner points
(2009)
We study the existence of monochromatic planar geometric k-factors on sets of red and blue points. When it is not possible to find a k-factor we make use of auxiliary points: white points, whose position is given as a datum ...
Artículo
Diagonal flips in outer-triangulations on closed surfaces
(2002)
We show that any two outer-triangulations on the same closed surface can be transformed into each other by a sequence of diagonal flips, up to isotopy, if they have a sufficiently large and equal number of vertices.
Artículo
Dilation-free graphs in the l1 metric
(2007)
The dilation-free graph of a planar point set S is a graph that spans S in such a way that the distance between two points in the graph is no longer than their planar distance. Metrically speaking, those graphs are equivalent ...
Artículo
Transforming triangulations on non planar-surfaces
(2003)
We consider whether any two triangulations of a polygon or a point set on a non-planar surface with a given metric can be transformed into each other by a sequence of edge flips. The answer is negative in general with some ...