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.FSTTCS.2021.23
URN: urn:nbn:de:0030-drops-155344
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/15534/
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Gupta, Chetan ; Jain, Rahul ; Tewari, Raghunath

Time Space Optimal Algorithm for Computing Separators in Bounded Genus Graphs

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Abstract

A graph separator is a subset of vertices of a graph whose removal divides the graph into small components. Computing small graph separators for various classes of graphs is an important computational task. In this paper, we present a polynomial-time algorithm that uses O(g^{1/2} n^{1/2} log n)-space to find an O(g^{1/2} n^{1/2})-sized separator of a graph having n vertices and embedded on an orientable surface of genus g.

BibTeX - Entry

@InProceedings{gupta_et_al:LIPIcs.FSTTCS.2021.23,
  author =	{Gupta, Chetan and Jain, Rahul and Tewari, Raghunath},
  title =	{{Time Space Optimal Algorithm for Computing Separators in Bounded Genus Graphs}},
  booktitle =	{41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)},
  pages =	{23:1--23:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-215-0},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{213},
  editor =	{Boja\'{n}czy, Miko{\l}aj and Chekuri, Chandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/15534},
  URN =		{urn:nbn:de:0030-drops-155344},
  doi =		{10.4230/LIPIcs.FSTTCS.2021.23},
  annote =	{Keywords: Graph algorithms, space-bounded algorithms, surface embedded graphs, reachability, Euler genus, algorithmic graph theory, computational complexity theory}
}

Keywords: Graph algorithms, space-bounded algorithms, surface embedded graphs, reachability, Euler genus, algorithmic graph theory, computational complexity theory
Collection: 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)
Issue Date: 2021
Date of publication: 29.11.2021

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