Typical Sequences Revisited: Computing Width Parameters of Graphs

Hans L. Bodlaender, Lars Jaffke, Jan Arne Telle

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

In this work, we give a structural lemma on merges of typical sequences, a notion that was introduced in 1991 [Lagergren and Arnborg, Bodlaender and Kloks, both ICALP 1991] to obtain constructive linear time parameterized algorithms for treewidth and pathwidth. The lemma addresses a runtime bottleneck in those algorithms but so far it does not lead to asymptotically faster algorithms. However, we apply the lemma to show that the cutwidth and the modified cutwidth of series parallel digraphs can be computed in 풪(n²) time.
Original languageEnglish
Title of host publication37th International Symposium on Theoretical Aspects of Computer Science, STACS 2020, March 10-13, 2020, Montpellier, France
EditorsChristophe Paul, Markus Bläser
PublisherSchloss Dagstuhl – Leibniz-Zentrum für Informatik GmbH
Pages57:1-57:16
Number of pages16
Volume154
ISBN (Electronic)978-3-95977-140-5
DOIs
Publication statusPublished - 10 Mar 2020

Publication series

NameLIPIcs
PublisherSchloss Dagstuhl - Leibniz-Zentrum für Informatik

Keywords

  • typical sequences
  • treewidth
  • series parallel digraphs
  • cutwidth
  • modified cutwidth

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