Linear kernels for (connected) dominating set on graphs with excluded topological subgraphs

Authors Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, Dimitrios M. Thilikos



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LIPIcs.STACS.2013.92.pdf
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Author Details

Fedor V. Fomin
Daniel Lokshtanov
Saket Saurabh
Dimitrios M. Thilikos

Cite As Get BibTex

Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, and Dimitrios M. Thilikos. Linear kernels for (connected) dominating set on graphs with excluded topological subgraphs. In 30th International Symposium on Theoretical Aspects of Computer Science (STACS 2013). Leibniz International Proceedings in Informatics (LIPIcs), Volume 20, pp. 92-103, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013) https://doi.org/10.4230/LIPIcs.STACS.2013.92

Abstract

We give the first linear kernels for Dominating Set and Connected Dominating Set problems on graphs excluding a fixed graph H as a topological minor.

Subject Classification

Keywords
  • Parameterized complexity
  • kernelization
  • algorithmic graph minors
  • dominating set
  • connected dominating set

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