1 Search Results for "Bosch-Calvo, Miguel"

Document
Track A: Algorithms, Complexity and Games
DOI: 10.4230/LIPIcs.ICALP.2023.29
A 4/3 Approximation for 2-Vertex-Connectivity

Authors: Miguel Bosch-Calvo, Fabrizio Grandoni, and Afrouz Jabal Ameli

Published in: LIPIcs, Volume 261, 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)

Abstract
The 2-Vertex-Connected Spanning Subgraph problem (2VCSS) is among the most basic NP-hard (Survivable) Network Design problems: we are given an (unweighted) undirected graph G. Our goal is to find a subgraph S of G with the minimum number of edges which is 2-vertex-connected, namely S remains connected after the deletion of an arbitrary node. 2VCSS is well-studied in terms of approximation algorithms, and the current best (polynomial-time) approximation factor is 10/7 by Heeger and Vygen [SIDMA'17] (improving on earlier results by Khuller and Vishkin [STOC'92] and Garg, Vempala and Singla [SODA'93]). Here we present an improved 4/3 approximation. Our main technical ingredient is an approximation preserving reduction to a conveniently structured subset of instances which are "almost" 3-vertex-connected. The latter reduction might be helpful in future work.
Cite as

Miguel Bosch-Calvo, Fabrizio Grandoni, and Afrouz Jabal Ameli. A 4/3 Approximation for 2-Vertex-Connectivity. In 50th International Colloquium on Automata, Languages, and Programming (ICALP 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 261, pp. 29:1-29:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2023)

Copy BibTex To Clipboard

@InProceedings{boschcalvo_et_al:LIPIcs.ICALP.2023.29,
  author =	{Bosch-Calvo, Miguel and Grandoni, Fabrizio and Jabal Ameli, Afrouz},
  title =	{{A 4/3 Approximation for 2-Vertex-Connectivity}},
  booktitle =	{50th International Colloquium on Automata, Languages, and Programming (ICALP 2023)},
  pages =	{29:1--29:13},
  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/entities/document/10.4230/LIPIcs.ICALP.2023.29},
  URN =		{urn:nbn:de:0030-drops-180813},
  doi =		{10.4230/LIPIcs.ICALP.2023.29},
  annote =	{Keywords: Algorithm, Network Design, Vertex-Connectivity, Approximation}
}
  • Refine by Author
  • 1 Bosch-Calvo, Miguel
  • 1 Grandoni, Fabrizio
  • 1 Jabal Ameli, Afrouz

  • Refine by Classification
  • 1 Theory of computation → Routing and network design problems

  • Refine by Keyword
  • 1 Algorithm
  • 1 Approximation
  • 1 Network Design
  • 1 Vertex-Connectivity

  • Refine by Type
  • 1 document

  • Refine by Publication Year
  • 1 2023

Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail
© 2023 Schloss Dagstuhl - LZI GmbH Imprint Privacy Contact