Steiner trees and spanning trees in six-pin soap films

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dc.creatorDutta, Prasun
dc.creatorKhastgir, S. Pratik
dc.creatorRoy, Anushree
dc.date2008-06-08
dc.date.accessioned2026-07-07T09:44:19Z
dc.date.available2026-07-07T09:44:19Z
dc.descriptionWe have studied the Steiner tree problem using six-pin soap films in detail. We extend the existing method of experimental realisation of Steiner trees in $n$-terminal problem through soap films to observe new non-minimal Steiner trees. We also produced spanning tree configurations for the first time by our method. Experimentally, by varying the pin diameter, we have achieved these new stable soap film configurations. A new algorithm is presented for creating these Steiner trees theoretically. Exact lengths of these Steiner tree configurations are calculated using a geometrical method. An exact two-parameter empirical formula is proposed for estimating the lengths of these soap film configurations in six-pin soap film problem.
dc.identifierhttps://arxiv.org/abs/0806.1340
dc.identifierhttp://arxiv.org/abs/0806.1340
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162830
dc.subjectComputational Geometry
dc.subjectOther Condensed Matter
dc.subjectClassical Physics
dc.titleSteiner trees and spanning trees in six-pin soap films
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