License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.MFCS.2017.67
URN: urn:nbn:de:0030-drops-80955
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/8095/
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Eiben, Eduard ; Hermelin, Danny ; Ramanujan, M. S.

Lossy Kernels for Hitting Subgraphs

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LIPIcs-MFCS-2017-67.pdf (0.6 MB)

Abstract

In this paper, we study the Connected H-hitting Set and Dominating Set problems from the perspective of approximate kernelization, a framework recently introduced by Lokshtanov et al. [STOC 2017]. For the Connected H-hitting set problem, we obtain an \alpha-approximate kernel for every \alpha>1 and complement it with a lower bound for the natural weighted version. We then perform a refined analysis of the tradeoff between the approximation factor and kernel size for the Dominating Set problem on d-degenerate graphs and provide an interpolation of approximate kernels between the known d^2-approximate kernel of constant size and 1-approximate kernel of size k^{O(d^2)}.

BibTeX - Entry

@InProceedings{eiben_et_al:LIPIcs:2017:8095,
  author =	{Eduard Eiben and Danny Hermelin and M. S. Ramanujan},
  title =	{{Lossy Kernels for Hitting Subgraphs}},
  booktitle =	{42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017)},
  pages =	{67:1--67:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-046-0},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{83},
  editor =	{Kim G. Larsen and Hans L. Bodlaender and Jean-Francois Raskin},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/8095},
  URN =		{urn:nbn:de:0030-drops-80955},
  doi =		{10.4230/LIPIcs.MFCS.2017.67},
  annote =	{Keywords: parameterized algorithms, lossy kernelization, graph theory}
}

Keywords: parameterized algorithms, lossy kernelization, graph theory
Collection: 42nd International Symposium on Mathematical Foundations of Computer Science (MFCS 2017)
Issue Date: 2017
Date of publication: 01.12.2017

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