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.2019.42
URN: urn:nbn:de:0030-drops-109867
URL: https://drops.dagstuhl.de/opus/volltexte/2019/10986/
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Eiben, Eduard ; Ganian, Robert ; Hamm, Thekla ; Kwon, O-joung

Measuring what Matters: A Hybrid Approach to Dynamic Programming with Treewidth

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LIPIcs-MFCS-2019-42.pdf (0.6 MB)

Abstract

We develop a framework for applying treewidth-based dynamic programming on graphs with "hybrid structure", i.e., with parts that may not have small treewidth but instead possess other structural properties. Informally, this is achieved by defining a refinement of treewidth which only considers parts of the graph that do not belong to a pre-specified tractable graph class. Our approach allows us to not only generalize existing fixed-parameter algorithms exploiting treewidth, but also fixed-parameter algorithms which use the size of a modulator as their parameter. As the flagship application of our framework, we obtain a parameter that combines treewidth and rank-width to obtain fixed-parameter algorithms for Chromatic Number, Hamiltonian Cycle, and Max-Cut.

BibTeX - Entry

@InProceedings{eiben_et_al:LIPIcs:2019:10986,
  author =	{Eduard Eiben and Robert Ganian and Thekla Hamm and O-joung Kwon},
  title =	{{Measuring what Matters: A Hybrid Approach to Dynamic Programming with Treewidth}},
  booktitle =	{44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)},
  pages =	{42:1--42:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-117-7},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{138},
  editor =	{Peter Rossmanith and Pinar Heggernes and Joost-Pieter Katoen},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10986},
  URN =		{urn:nbn:de:0030-drops-109867},
  doi =		{10.4230/LIPIcs.MFCS.2019.42},
  annote =	{Keywords: Parameterized complexity, treewidth, rank-width, fixed-parameter algorithms}
}

Keywords: Parameterized complexity, treewidth, rank-width, fixed-parameter algorithms
Collection: 44th International Symposium on Mathematical Foundations of Computer Science (MFCS 2019)
Issue Date: 2019
Date of publication: 20.08.2019

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