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arXiv · 2008.02398

An Evolver program for weighted Steiner trees

Henrique Botelho·Francisco Zampirolli·Valério Ramos Batista
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Abstract

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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Henrique Botelho, Francisco Zampirolli, Valério Ramos Batista. 2020-08-05. An Evolver program for weighted Steiner trees. https://arxiv.org/abs/2008.02398

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