Diameter of Polyhedra: Limits of Abstraction

Flexible Network Design

计算机科学;物理学;数学

Friedrich Eisenbrand ; Nicolai Hähnle ; Alexander Razborov ; Thomas Rothvo

Others  :  http://drops.dagstuhl.de/opus/volltexte/2010/2724/pdf/10211.EisenbrandFriedrich.ExtAbstract.2724.pdf
PID  :  17924

学科分类：计算机科学（综合）

来源: CEUR

【 摘 要 】

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.