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.2022.26
URN: urn:nbn:de:0030-drops-169642
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Bożyk, Łukasz ; Pilipczuk, Michał

Polynomial Kernel for Immersion Hitting in Tournaments

LIPIcs-ESA-2022-26.pdf (0.8 MB)


For a fixed simple digraph H without isolated vertices, we consider the problem of deleting arcs from a given tournament to get a digraph which does not contain H as an immersion. We prove that for every H, this problem admits a polynomial kernel when parameterized by the number of deleted arcs. The degree of the bound on the kernel size depends on H.

BibTeX - Entry

  author =	{Bo\.{z}yk, {\L}ukasz and Pilipczuk, Micha{\l}},
  title =	{{Polynomial Kernel for Immersion Hitting in Tournaments}},
  booktitle =	{30th Annual European Symposium on Algorithms (ESA 2022)},
  pages =	{26:1--26:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-247-1},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{244},
  editor =	{Chechik, Shiri and Navarro, Gonzalo and Rotenberg, Eva and Herman, Grzegorz},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-169642},
  doi =		{10.4230/LIPIcs.ESA.2022.26},
  annote =	{Keywords: kernelization, graph immersion, tournament, protrusion}

Keywords: kernelization, graph immersion, tournament, protrusion
Collection: 30th Annual European Symposium on Algorithms (ESA 2022)
Issue Date: 2022
Date of publication: 01.09.2022

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