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  • In contrast to undirected width measures (such as treewidth or clique-width), which have provided many important algorithmic applications, analogous measures for digraphs such as DAGwidth or Kelly-width do not seem so successful. Several recent papers, e.g. those of Kreutzer-Ordyniak, Dankelmann-Gutin-Kim, or Lampis-Kaouri-Mitsou, have given some evidence for this. We support this direction by showing that many quite different problems remain hard even on graph classes that are restricted very beyond simply having small DAG-width. To this end, we introduce new measures K-width and DAGdepth. On the positive side, we also note that taking Kanté's directed generalization of rank-width as a parameter makes many problems fixed parameter tractable.
  • In contrast to undirected width measures (such as treewidth or clique-width), which have provided many important algorithmic applications, analogous measures for digraphs such as DAGwidth or Kelly-width do not seem so successful. Several recent papers, e.g. those of Kreutzer-Ordyniak, Dankelmann-Gutin-Kim, or Lampis-Kaouri-Mitsou, have given some evidence for this. We support this direction by showing that many quite different problems remain hard even on graph classes that are restricted very beyond simply having small DAG-width. To this end, we introduce new measures K-width and DAGdepth. On the positive side, we also note that taking Kanté's directed generalization of rank-width as a parameter makes many problems fixed parameter tractable. (en)
Title
  • On Digraph Width Measures in Parameterized Algorithmics
  • On Digraph Width Measures in Parameterized Algorithmics (en)
skos:prefLabel
  • On Digraph Width Measures in Parameterized Algorithmics
  • On Digraph Width Measures in Parameterized Algorithmics (en)
skos:notation
  • RIV/00216224:14330/09:00065869!RIV14-MSM-14330___
http://linked.open...avai/riv/aktivita
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  • P(GA201/08/0308), P(GC201/09/J021), S, Z(MSM0021622419)
http://linked.open...vai/riv/dodaniDat
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  • 331370
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  • RIV/00216224:14330/09:00065869
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  • digraph; DAG-width; bi-rank-width; parameterized complexity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [7655C69053A3]
http://linked.open...v/mistoKonaniAkce
  • Copenhagen, Denmark
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  • Berlin
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  • IWPEC 2009: International Workshop on Parameterized and Exact Computation, Lecture Notes in Computer Science
http://linked.open...in/vavai/riv/obor
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  • Ganian, Robert
  • Hliněný, Petr
  • Obdržálek, Jan
  • Rossmanith, Peter
  • Langer, Alexander
  • Kneis, Joachim
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000278758300015
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-11269-0_15
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  • Springer-Verlag
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  • 9783642112683
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  • 14330
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