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How Many Steiner Terminals Can You Connect in 20 Years?

Please always quote using this URN: urn:nbn:de:0297-zib-42524
  • Steiner trees are constructed to connect a set of terminal nodes in a graph. This basic version of the Steiner tree problem is idealized, but it can effectively guide the search for successful approaches to many relevant variants, from both a theoretical and a computational point of view. This article illustrates the theoretical and algorithmic progress on Steiner tree type problems on two examples, the Steiner connectivity and the Steiner tree packing problem.

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Author:Ralf BorndörferORCiD, Nam-Dung Hoang, Marika Karbstein, Thorsten KochORCiD, Alexander Martin
Document Type:ZIB-Report
Tag:Steiner connectivity; Steiner tree; Steiner tree packing
MSC-Classification:90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C11 Mixed integer programming
90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C35 Programming involving graphs or networks [See also 90C27]
90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C90 Applications of mathematical programming
Date of first Publication:2013/09/20
Series (Serial Number):ZIB-Report (13-57)
ISSN:1438-0064
Published in:Appeared in: Facets of Combinatorial Optimization Festschrift for Martin Grötschel. Jünger, Michael; Reinelt, Gerhard (Eds.) Springer 2013, pp. 215-244
DOI:https://doi.org/10.1007/978-3-642-38189-8_10
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