JCT
2006
13 years 4 months ago
2006
We introduce revlex-initial 0/1-polytopes as the convex hulls of reverse-lexicographically initial sets of 0/1-vectors. Thus for each n 2d , we consider the 0/1-knapsack polytope ...
DCG
2007
13 years 4 months ago
2007
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
CORR
2010
Springer
13 years 4 months ago
2010
Springer
We reexamine fundamental problems from computational geometry in the word RAM model, where input coordinates are integers that fit in a machine word. We develop a new algorithm fo...
BMVC
2000
13 years 5 months ago
2000
A new object recognition method, the Invariant Pixel Set Signature (IPSS), is introduced. Objects are represented with a probability density on the space of invariants computed fr...
IPCO
2010
13 years 6 months ago
2010
We introduce the framework of polyhedral branching systems that can be used in order to construct extended formulations for polyhedra by combining extended formulations for other p...
COMPGEOM
2005
ACM
13 years 6 months ago
2005
ACM
We initiate the study of exact geometric algorithms that require limited storage and make only a small number of passes over the input. Fundamental problems such as lowdimensional...
GECCO
2006
Springer
13 years 8 months ago
2006
Springer
This papers presents a novel representation of classifier conditions based on convex hulls. A classifier condition is represented by a sets of points in the problem space. These p...
COMPGEOM
1996
ACM
13 years 8 months ago
1996
ACM
We show that in the worst case, (ndd=2e;1 +n logn) sidedness queries are required to determine whether the convex hull of n points in IRd is simplicial, or to determine the number ...
COMPGEOM
2009
ACM
13 years 11 months ago
2009
ACM
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...