A SIMPLE PROOF OF THE PLANAR RECTILINEAR STEINER RATIO

被引：2
|
作者：
SALOWE, JS
机构：
[1] Department of Computer Science, University of Virginia, Charlottesville, VA 22903, Thornton Hall
来源：
OPERATIONS RESEARCH LETTERS | 1992年 / 12卷 / 04期
基金：
美国国家科学基金会;
关键词：
NETWORK THEORY; DISTANCE ALGORITHMS; HEURISTICS; TREE ALGORITHMS;
D O I：
10.1016/0167-6377(92)90053-6
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The rectilinear Steiner ratio is the worst-case ratio of the length of a rectilinear minimum spanning tree to the length of a rectilinear Steiner minimal tree. Hwang proved that the ratio for point sets in the plane is 3/2. We provide a simple proof of the 3/2-bound.
引用
收藏
页码：271 / 274
页数：4
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