| Article ID: | iaor20108767 |
| Volume: | 35 |
| Issue: | 4 |
| Start Page Number: | 786 |
| End Page Number: | 794 |
| Publication Date: | Nov 2010 |
| Journal: | Mathematics of Operations Research |
| Authors: | Eisenbrand Friedrich, Rothvo Thomas, Hhnle Nicolai, Razborov Alexander |
| Keywords: | polyhedra |
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.