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SIAMDM
2011
12 years 11 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 6 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»
12 years 11 months ago
Maximal Lattice-Free Convex Sets in Linear Subspaces
Amitabh Basu, Michele Conforti, Gérard Corn...
SIAMDM
2010
105views more  SIAMDM 2010»
12 years 11 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 6 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