Add to ORKGIn the first part of the paper we survey some far reaching applications of the basis facts of linear programming to the combinatorial theory of simple polytopes. In the second part we discuss some recent developments concurring the simplex algorithm. We describe sub-exponential randomized pivot roles and upper bounds on the diameter of graphs of polytopes
The Simplex algorithm is one of the most important algorithms in discrete optimization, and is the m...
Circuit-augmentation algorithms are generalizations of the simplex method, where in each step one is...
We solve a 20-year old problem posed by Yannakakis and prove that no polynomial-size linear program ...
In the first part of the paper we survey some far reaching applications of the basis facts of linear...
In the first part of the paper we survey some far-reaching applications of the basic facts of linear...
In the rst part of the paper we survey some far-reaching applications of the basic facts of linear p...
Linear programming is perhaps the most useful tool in optimization, much of it's success owed to the...
We investigate the behavior of randomized simplex algorithms on special linear programs. For this, w...
This dissertation discusses several problems motivated by the simplex method, one of the most influe...
Abstract. Viewed geometrically, the simplex algorithm on a (primally and dually non-degenerate) line...
AbstractMany combinatorial optimization problems call for the optimization of a linear function over...
We show that a variant of the random-edge pivoting rule results in a strongly polynomial time simple...
The thesis begins by giving background in linear programming and Simplex methods. Topics covered inc...
This dissertation investigates the geometric combinatorics of convex polytopes and connecti...
The smoothed analysis of algorithms is concerned with the expected running time of an algor...
The Simplex algorithm is one of the most important algorithms in discrete optimization, and is the m...
Circuit-augmentation algorithms are generalizations of the simplex method, where in each step one is...
We solve a 20-year old problem posed by Yannakakis and prove that no polynomial-size linear program ...
In the first part of the paper we survey some far reaching applications of the basis facts of linear...
In the first part of the paper we survey some far-reaching applications of the basic facts of linear...
In the rst part of the paper we survey some far-reaching applications of the basic facts of linear p...
Linear programming is perhaps the most useful tool in optimization, much of it's success owed to the...
We investigate the behavior of randomized simplex algorithms on special linear programs. For this, w...
This dissertation discusses several problems motivated by the simplex method, one of the most influe...
Abstract. Viewed geometrically, the simplex algorithm on a (primally and dually non-degenerate) line...
AbstractMany combinatorial optimization problems call for the optimization of a linear function over...
We show that a variant of the random-edge pivoting rule results in a strongly polynomial time simple...
The thesis begins by giving background in linear programming and Simplex methods. Topics covered inc...
This dissertation investigates the geometric combinatorics of convex polytopes and connecti...
The smoothed analysis of algorithms is concerned with the expected running time of an algor...
The Simplex algorithm is one of the most important algorithms in discrete optimization, and is the m...
Circuit-augmentation algorithms are generalizations of the simplex method, where in each step one is...
We solve a 20-year old problem posed by Yannakakis and prove that no polynomial-size linear program ...