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» The Complexity of Separating Points in the Plane
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SIAMCOMP
2000
86views more  SIAMCOMP 2000»
13 years 4 months ago
On the Relative Complexity of Resolution Refinements and Cutting Planes Proof Systems
An exponential lower bound for the size of tree-like cutting planes refutations of a certain family of conjunctive normal form (CNF) formulas with polynomial size resolution refuta...
Maria Luisa Bonet, Juan Luis Esteban, Nicola Gales...
CCCG
2010
13 years 6 months ago
Maximum geodesic routing in the plane with obstacles
Do convex obstacles in the plane always leave 3 separate escape routes? Here, an escape route is a locally geodesic path that avoids the obstacles; escape routes are separate if t...
David L. Millman, Matthew O'Meara, Jack Snoeyink, ...
ICCSA
2003
Springer
13 years 10 months ago
Red-Blue Separability Problems in 3D
In this paper we study the problems of separability of two disjoint point sets in 3D by multiple criteria extending some notions on separability of two disjoint point sets in the ...
Ferran Hurtado, Carlos Seara, Saurabh Sethia
ICCTA
2007
IEEE
13 years 11 months ago
Covering a Set of Points in a Plane Using Two Parallel Rectangles
We consider the problem of finding two parallel rectangles, in arbitrary orientation, covering a given set of n points in a plane, such that the area of the larger rectangle is m...
Chandan Saha, Sandip Das
SODA
1992
ACM
140views Algorithms» more  SODA 1992»
13 years 5 months ago
Separation and Approximation of Polyhedral Objects
Given a family of disjoint polygons P1, P2, : : :, Pk in the plane, and an integer parameter m, it is NP-complete to decide if the Pi's can be pairwise separated by a polygon...
Joseph S. B. Mitchell, Subhash Suri