Eisenbrand, Friedrich
HĂ¤hnle, Nicolai
Razborov, Alexander
Rothvoss, Thomas
Diameter of Polyhedra: Limits of Abstraction
Mathematics of Operations Research
Mathematics of Operations Research
Mathematics of Operations Research
Mathematics of Operations Research
35
4
convex geometry
disjoint coverings
Hirsch conjecture
polyhedra
D-Step Conjecture
Simplex Algorithm
Polytopes
Graphs
Cubes
2010
2010
We investigate the diameter of a natural abstraction of the 1-skeleton of polyhedra. Even if this abstraction is more general than other abstractions previously studied in the literature, known upper bounds on the diameter of polyhedra continue to hold here. On the other hand, we show that this abstraction has its limits by providing an almost quadratic lower bound.
1526-5471
Mathematics of Operations Research
Journal Articles
10.1287/moor.1100.0470