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COMPGEOM
2004
ACM
14 years 1 months ago
On distinct distances from a vertex of a convex polygon
Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
Adrian Dumitrescu
ORL
2011
13 years 2 months ago
The split closure of a strictly convex body
The Chv´atal-Gomory closure and the split closure of a rational polyhedron are rational polyhedra. It was recently shown that the Chv´atal-Gomory closure of a strictly convex bo...
D. Dadush, Santanu S. Dey, Juan Pablo Vielma
CCCG
2007
13 years 9 months ago
On the Number of Empty Pseudo-Triangles in Point Sets
We analyze the minimum and maximum number of empty pseudo-triangles defined by any planar point set. We consider the cases where the three convex vertices are fixed and where th...
Marc J. van Kreveld, Bettina Speckmann
ECCV
2010
Springer
14 years 28 days ago
Convex Relaxation for Multilabel Problems with Product Label Spaces
Convex relaxations for continuous multilabel problems have attracted a lot of interest recently [1–5]. Unfortunately, in previous methods, the runtime and memory requirements sca...
FOCS
2007
IEEE
14 years 2 months ago
Linear Equations Modulo 2 and the L1 Diameter of Convex Bodies
We design a randomized polynomial time algorithm which, given a 3-tensor of real numbers A = {aijk}n i,j,k=1 such that for all i, j, k ∈ {1, . . . , n} we have ai jk = aik j = a...
Subhash Khot, Assaf Naor