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.ESA.2021.47
URN: urn:nbn:de:0030-drops-146286
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/14628/
Georgiadis, Loukas ;
Italiano, Giuseppe F. ;
Kosinas, Evangelos
Computing the 4-Edge-Connected Components of a Graph in Linear Time
Abstract
We present the first linear-time algorithm that computes the 4-edge-connected components of an undirected graph. Hence, we also obtain the first linear-time algorithm for testing 4-edge connectivity. Our results are based on a linear-time algorithm that computes the 3-edge cuts of a 3-edge-connected graph G, and a linear-time procedure that, given the collection of all 3-edge cuts, partitions the vertices of G into the 4-edge-connected components.
BibTeX - Entry
@InProceedings{georgiadis_et_al:LIPIcs.ESA.2021.47,
author = {Georgiadis, Loukas and Italiano, Giuseppe F. and Kosinas, Evangelos},
title = {{Computing the 4-Edge-Connected Components of a Graph in Linear Time}},
booktitle = {29th Annual European Symposium on Algorithms (ESA 2021)},
pages = {47:1--47:17},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-204-4},
ISSN = {1868-8969},
year = {2021},
volume = {204},
editor = {Mutzel, Petra and Pagh, Rasmus and Herman, Grzegorz},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/14628},
URN = {urn:nbn:de:0030-drops-146286},
doi = {10.4230/LIPIcs.ESA.2021.47},
annote = {Keywords: Cuts, Edge Connectivity, Graph Algorithms}
}
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Keywords: |
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Cuts, Edge Connectivity, Graph Algorithms |
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Collection: |
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29th Annual European Symposium on Algorithms (ESA 2021) |
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Issue Date: |
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2021 |
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Date of publication: |
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31.08.2021 |
