Year: 2020
Type: preprint
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.
Source: arXiv (Cornell University)
Institution: Universidade Federal do ABC
Language: English
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Awards: G6518201654, G8262246763
OpenAlex ID: W3047520496