License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2023.63
URN: urn:nbn:de:0030-drops-181156
URL: https://drops.dagstuhl.de/opus/volltexte/2023/18115/
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Friggstad, Zachary ; Mousavi, Ramin

An O(log k)-Approximation for Directed Steiner Tree in Planar Graphs

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LIPIcs-ICALP-2023-63.pdf (1 MB)


Abstract

We present an O(log k)-approximation for both the edge-weighted and node-weighted versions of Directed Steiner Tree in planar graphs where k is the number of terminals. We extend our approach to Multi-Rooted Directed Steiner Tree, in which we get a O(R+log k)-approximation for planar graphs for where R is the number of roots.

BibTeX - Entry

@InProceedings{friggstad_et_al:LIPIcs.ICALP.2023.63,
  author =	{Friggstad, Zachary and Mousavi, Ramin},
  title =	{{An O(log k)-Approximation for Directed Steiner Tree in Planar Graphs}},
  booktitle =	{50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)},
  pages =	{63:1--63:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-278-5},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{261},
  editor =	{Etessami, Kousha and Feige, Uriel and Puppis, Gabriele},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/18115},
  URN =		{urn:nbn:de:0030-drops-181156},
  doi =		{10.4230/LIPIcs.ICALP.2023.63},
  annote =	{Keywords: Directed Steiner tree, Combinatorial optimization, approximation algorithms}
}

Keywords: Directed Steiner tree, Combinatorial optimization, approximation algorithms
Collection: 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)
Issue Date: 2023
Date of publication: 05.07.2023


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