JCT

2006

13 years 5 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 5 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 5 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 6 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 7 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 7 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 9 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 9 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

14 years 1 days 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...