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SIAMDM
2011
13 years 1 months ago
On Maximal S-Free Convex Sets
Let S ⊆ Zn satisfy the property that conv(S) ∩ Zn = S. Then a convex set K is called an S-free convex set if int(K) ∩ S = ∅. A maximal S-free convex set is an S-free convex...
Diego A. Morán R., Santanu S. Dey
COMPGEOM
2005
ACM
13 years 8 months ago
Maximizing the overlap of two planar convex sets under rigid motions
Hee-Kap Ahn, Otfried Cheong, Chong-Dae Park, Chan-...
MOR
2010
93views more  MOR 2010»
13 years 1 months ago
Maximal Lattice-Free Convex Sets in Linear Subspaces
Amitabh Basu, Michele Conforti, Gérard Corn...
SIAMDM
2010
105views more  SIAMDM 2010»
13 years 1 months ago
Minimal Inequalities for an Infinite Relaxation of Integer Programs
We show that maximal S-free convex sets are polyhedra when S is the set of integral points in some rational polyhedron of Rn . This result extends a theorem of Lov
Amitabh Basu, Michele Conforti, Gérard Corn...
SODA
1996
ACM
121views Algorithms» more  SODA 1996»
13 years 7 months ago
Optimal Placement of Convex Polygons to Maximize Point Containment
Given a convex polygon P with m vertices and a set S of n points in the plane, we consider the problem of nding a placement of P that contains the maximum number of points in S. W...
Matthew Dickerson, Daniel Scharstein