论文标题

加权施罐树的Evolver程序

An Evolver program for weighted Steiner trees

论文作者

Botelho, Henrique, Zampirolli, Francisco, Batista, Valério Ramos

论文摘要

我们提出了一种算法,可以在飞机上找到近乎最佳的加权施泰纳最小树。该算法以Evolver编程语言实现,该语言已经包含许多内置的能量最小化例程。该程序中有些调用,使其仅由183行源代码组成。我们的算法再现了从连接的引脚到稳定构型的肥皂膜的物理实验。在非加权的情况下,与吉斯代人进行了比较,用于形成模式的终端。

We present an algorithm to find near-optimal weighted Steiner minimal trees in the plane. The algorithm is implemented in Evolver programming language, which already contains many built-in energy minimisation routines. Some are invoked in the program, which enable it to consist of only 183 lines of source code. Our algorithm reproduces the physical experiment of a soap film detaching from connected pins towards a stable configuration. In the non-weighted case comparisons with GeoSteiner are drawn for terminals that form a pattern.

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