Diameter of Polyhedra: Limits of Abstraction

被引：0
|
作者：
Eisenbrand, Friedrich [1 ]
Haehnle, Nicolai [1 ]
Rothvoss, Thomas [1 ]
机构：
[1] Ecole Polytech Fed Lausanne, Inst Math, CH-1015 Lausanne, Switzerland
来源：
PROCEEDINGS OF THE TWENTY-FIFTH ANNUAL SYMPOSIUM ON COMPUTATIONAL GEOMETRY (SCG'09) | 2009年
关键词：
convex geometry; disjoint coverings; Hirsch conjecture; polyhedra; SIMPLEX ALGORITHM; GRAPHS;
D O I：
10.1145/1542362.1542428
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the diameter of a natural abstraction of the 1-skeleton of polyhedra. Although this abstraction is simpler than other abstractions that were previously studied in the literature, the best 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 a superlinear lower bound.
引用
收藏
页码：386 / 392
页数：7
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