Absorbing Angles, Steiner Minimal Trees, and Antipodality

被引：0
|
作者：
H. Martini
K. J. Swanepoel
P. Oloff de Wet
机构：
[1] Technische Universität Chemnitz,Fakultät für Mathematik
[2] University of South Africa,Department of Decision Sciences
来源：
Journal of Optimization Theory and Applications | 2009年 / 143卷
关键词：
Steiner minimal trees; Absorbing angles; Antipodality; Face antipodality; Minkowski geometry;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give a new proof that a star {opi:i=1,…,k} in a normed plane is a Steiner minimal tree of vertices {o,p1,…,pk} if and only if all angles formed by the edges at o are absorbing (Swanepoel in Networks 36: 104–113, 2000). The proof is simpler and yet more conceptual than the original one.
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页码：149 / 157
页数：8
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