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  • Several different measures for digraph width have appeared in the last few years. However, none of them shares all the ``nice'' properties of treewidth: First, being algorithmically useful - say, admitting polynomial-time algorithms for all MSO1-definable problems on digraphs of bounded width. And, second, having nice structural properties such as being monotone under taking subdigraphs and some form of arc contractions. Our main result then is that any reasonable algorithmically useful and structurally nice digraph measure cannot be substantially different from the treewidth of the underlying undirected graph
  • Several different measures for digraph width have appeared in the last few years. However, none of them shares all the ``nice'' properties of treewidth: First, being algorithmically useful - say, admitting polynomial-time algorithms for all MSO1-definable problems on digraphs of bounded width. And, second, having nice structural properties such as being monotone under taking subdigraphs and some form of arc contractions. Our main result then is that any reasonable algorithmically useful and structurally nice digraph measure cannot be substantially different from the treewidth of the underlying undirected graph (en)
Title
  • Are there any good digraph width measures?
  • Are there any good digraph width measures? (en)
skos:prefLabel
  • Are there any good digraph width measures?
  • Are there any good digraph width measures? (en)
skos:notation
  • RIV/00216224:14330/10:00065886!RIV14-MSM-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • O, P(GA201/08/0308), P(GC201/09/J021), S, Z(MSM0021622419)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 247702
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/10:00065886
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • directed graphs; width measures; monadic second order logic; directed graph minors (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [6B8290A549D0]
http://linked.open...v/mistoKonaniAkce
  • Chennai, India
http://linked.open...i/riv/mistoVydani
  • India
http://linked.open...i/riv/nazevZdroje
  • Parameterized and exact computation, IPEC 2010
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Ganian, Robert
  • Hliněný, Petr
  • Obdržálek, Jan
  • Rossmanith, Peter
  • Sikdar, Somnath
  • Kneis, Joachim
  • Meister, Daniel
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000286165700014
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-17493-3_14
http://purl.org/ne...btex#hasPublisher
  • Lecture Notes in Computer Science, Springer-Verlag
https://schema.org/isbn
  • 9783642174926
http://localhost/t...ganizacniJednotka
  • 14330
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