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: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/18115/
Friggstad, Zachary ;
Mousavi, Ramin
An O(log k)-Approximation for Directed Steiner Tree in Planar Graphs
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: |
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Directed Steiner tree, Combinatorial optimization, approximation algorithms |
Collection: |
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50th International Colloquium on Automata, Languages, and Programming (ICALP 2023) |
Issue Date: |
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2023 |
Date of publication: |
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05.07.2023 |