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DM
2010
89views more  DM 2010»
15 years 6 months ago
Polynomial-time dualization of r-exact hypergraphs with applications in geometry
Let H 2V be a hypergraph on vertex set V . For a positive integer r, we call H r-exact, if any minimal transversal of H intersects any hyperedge of H in at most r vertices. This ...
Khaled M. Elbassioni, Imran Rauf
DMTCS
2010
157views Mathematics» more  DMTCS 2010»
15 years 3 months ago
Edge-Removal and Non-Crossing Configurations in Geometric Graphs
A geometric graph is a graph G = (V, E) drawn in the plane, such that V is a point set in general position and E is a set of straight-line segments whose endpoints belong to V . W...
Oswin Aichholzer, Sergio Cabello, Ruy Fabila Monro...
IROS
2006
IEEE
104views Robotics» more  IROS 2006»
15 years 12 months ago
Coverage Diameters of Polygons
— This paper formalizes and proposes an algorithm to compute coverage diameters of polygons in 2D. Roughly speaking, the coverage diameter of a polygon is the longest possible di...
Pawin Vongmasa, Attawith Sudsang
SIBGRAPI
1999
IEEE
15 years 10 months ago
Curvature Operators in Geometric Image Processing
Abstract. In this work we study the problem of reconstructing an image from a perceptual segmentation based on a geometric classification of its points using non-linear curvature f...
Cicero Mota, Jonas Gomes
JCT
2007
90views more  JCT 2007»
15 years 5 months ago
On the maximum number of edges in quasi-planar graphs
A topological graph is quasi-planar, if it does not contain three pairwise crossing edges. Agarwal et al. [2] proved that these graphs have a linear number of edges. We give a sim...
Eyal Ackerman, Gábor Tardos