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.ESA.2020.42
URN: urn:nbn:de:0030-drops-129088
URL: https://drops.dagstuhl.de/opus/volltexte/2020/12908/
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Eiben, Eduard ; Lochet, William

A Polynomial Kernel for Line Graph Deletion

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LIPIcs-ESA-2020-42.pdf (0.6 MB)


Abstract

The line graph of a graph G is the graph L(G) whose vertex set is the edge set of G and there is an edge between e,f ∈ E(G) if e and f share an endpoint in G. A graph is called line graph if it is a line graph of some graph. We study the Line-Graph-Edge Deletion problem, which asks whether we can delete at most k edges from the input graph G such that the resulting graph is a line graph. More precisely, we give a polynomial kernel for Line-Graph-Edge Deletion with O(k⁵) vertices. This answers an open question posed by Falk Hüffner at Workshop on Kernels (WorKer) in 2013.

BibTeX - Entry

@InProceedings{eiben_et_al:LIPIcs:2020:12908,
  author =	{Eduard Eiben and William Lochet},
  title =	{{A Polynomial Kernel for Line Graph Deletion}},
  booktitle =	{28th Annual European Symposium on Algorithms (ESA 2020)},
  pages =	{42:1--42:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-162-7},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{173},
  editor =	{Fabrizio Grandoni and Grzegorz Herman and Peter Sanders},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12908},
  URN =		{urn:nbn:de:0030-drops-129088},
  doi =		{10.4230/LIPIcs.ESA.2020.42},
  annote =	{Keywords: Kernelization, line graphs, H-free editing, graph modification problem}
}

Keywords: Kernelization, line graphs, H-free editing, graph modification problem
Collection: 28th Annual European Symposium on Algorithms (ESA 2020)
Issue Date: 2020
Date of publication: 26.08.2020


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