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.2023.79
URN: urn:nbn:de:0030-drops-181314
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/18131/
Hyatt-Denesik, Dylan ;
Jabal Ameli, Afrouz ;
Sanità , Laura
Finding Almost Tight Witness Trees
Abstract
This paper addresses a graph optimization problem, called the Witness Tree problem, which seeks a spanning tree of a graph minimizing a certain non-linear objective function. This problem is of interest because it plays a crucial role in the analysis of the best approximation algorithms for two fundamental network design problems: Steiner Tree and Node-Tree Augmentation. We will show how a wiser choice of witness trees leads to an improved approximation for Node-Tree Augmentation, and for Steiner Tree in special classes of graphs.
BibTeX - Entry
@InProceedings{hyattdenesik_et_al:LIPIcs.ICALP.2023.79,
author = {Hyatt-Denesik, Dylan and Jabal Ameli, Afrouz and Sanit\`{a}, Laura},
title = {{Finding Almost Tight Witness Trees}},
booktitle = {50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)},
pages = {79:1--79:16},
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/2023/18131},
URN = {urn:nbn:de:0030-drops-181314},
doi = {10.4230/LIPIcs.ICALP.2023.79},
annote = {Keywords: Algorithms, Network Design, Approximation}
}
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Keywords: |
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Algorithms, Network Design, Approximation |
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Collection: |
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50th International Colloquium on Automata, Languages, and Programming (ICALP 2023) |
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Issue Date: |
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2023 |
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Date of publication: |
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05.07.2023 |
