arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.02398cs.CG
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加权Steiner树的Evolver程序

An Evolver program for weighted Steiner trees

Henrique Botelho, Francisco Zampirolli, Valério Ramos Batista

摘要:

我们提出了一个算法,以寻找近最优加权Steiner最小树在平面上。该算法在Evolver程序设计语言中实现,该语言已经包含许多内置的能量最小化例程。有些是在程序中调用的,这使得它只包含183行源代码。我们的算法再现了物理实验的肥皂膜脱离连接引脚走向一个稳定的配置。在非加权的情况下,与GeoSteiner的比较是针对形成图案的端子绘制的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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