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.ISAAC.2022.20
URN: urn:nbn:de:0030-drops-173056
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2022/17305/
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Gima, Tatsuya ; Otachi, Yota

Extended MSO Model Checking via Small Vertex Integrity

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LIPIcs-ISAAC-2022-20.pdf (0.9 MB)


Abstract

We study the model checking problem of an extended MSO with local and global cardinality constraints, called MSO^GL_Lin, introduced recently by Knop, Koutecký, Masařík, and Toufar [Log. Methods Comput. Sci., 15(4), 2019]. We show that the problem is fixed-parameter tractable parameterized by vertex integrity, where vertex integrity is a graph parameter standing between vertex cover number and treedepth. Our result thus narrows the gap between the fixed-parameter tractability parameterized by vertex cover number and the W[1]-hardness parameterized by treedepth.

BibTeX - Entry

@InProceedings{gima_et_al:LIPIcs.ISAAC.2022.20,
  author =	{Gima, Tatsuya and Otachi, Yota},
  title =	{{Extended MSO Model Checking via Small Vertex Integrity}},
  booktitle =	{33rd International Symposium on Algorithms and Computation (ISAAC 2022)},
  pages =	{20:1--20:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-258-7},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{248},
  editor =	{Bae, Sang Won and Park, Heejin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2022/17305},
  URN =		{urn:nbn:de:0030-drops-173056},
  doi =		{10.4230/LIPIcs.ISAAC.2022.20},
  annote =	{Keywords: vertex integrity, monadic second-order logic, cardinality constraint, fixed-parameter tractability}
}

Keywords: vertex integrity, monadic second-order logic, cardinality constraint, fixed-parameter tractability
Collection: 33rd International Symposium on Algorithms and Computation (ISAAC 2022)
Issue Date: 2022
Date of publication: 14.12.2022


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