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  Solving Dominating Set in Larger Classes of Graphs: FPT Algorithms and Polynomial Kernels

Philip, G., Raman, V., & Sikdar, S. (2009). Solving Dominating Set in Larger Classes of Graphs: FPT Algorithms and Polynomial Kernels. In A. Fiat, & P. Sanders (Eds.), Algorithms - ESA 2009 (pp. 694-705). Berlin: Springer. doi:10.1007/978-3-642-04128-0_62.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0019-DC09-F Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0019-DC0A-D
Genre: Conference Paper
Latex : Solving Dominating Set in Larger Classes of Graphs: {FPT} Algorithms and Polynomial Kernels

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 Creators:
Philip, Geevarghese1, Author           
Raman, Venkatesh1, Author
Sikdar, Somnath1, Author
Affiliations:
1External Organizations, ou_persistent22              

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 Abstract: We show that the \nounk-Dominating Set} problem is fixed parameter tractable (FPT) and has a polynomial kernel for any class of graphs that exclude K_{i,j as a subgraph, for any fixed i,j≥1. This strictly includes every class of graphs for which this problem has been previously shown to have FPT algorithms and/or polynomial kernels. In particular, our result implies that the problem restricted to bounded-degenerate graphs has a polynomial kernel, solving an open problem posed by Alon and Gutner.

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Language(s): eng - English
 Dates: 20092009
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1007/978-3-642-04128-0_62
BibTex Citekey: PhilipRamanSikdar2009
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Title: ESA 2009
Place of Event: Copenhagen, Denmark
Start-/End Date: 2009-09-07 - 2009-09-09

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Title: Algorithms - ESA 2009
  Subtitle : 17th Annual European Symposium, Copenhagen, Denmark, September 7-9, 2009. Proceedings
  Abbreviation : ESA 2009
Source Genre: Proceedings
 Creator(s):
Fiat, Amos1, Editor
Sanders, Peter1, Editor           
Affiliations:
1 External Organizations, ou_persistent22            
Publ. Info: Berlin : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 694 - 705 Identifier: ISBN: 978-3-642-04127-3

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Title: Lecture Notes in Computer Science
  Abbreviation : LNCS
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 5757 Sequence Number: - Start / End Page: - Identifier: -