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Description
  • We study the computational complexity of the FO model checking problem on interval graphs, i.e., intersection graphs of intervals on the real line. The main positive result is that this problem can be solved in time O(n log n) for n-vertex interval graphs with representations containing only intervals with lengths from a prescribed finite set. We complement this result by showing that the same is not true if the lengths are restricted to any set that is dense in some open subset, e.g., in the set (1, 1+epsilon).
  • We study the computational complexity of the FO model checking problem on interval graphs, i.e., intersection graphs of intervals on the real line. The main positive result is that this problem can be solved in time O(n log n) for n-vertex interval graphs with representations containing only intervals with lengths from a prescribed finite set. We complement this result by showing that the same is not true if the lengths are restricted to any set that is dense in some open subset, e.g., in the set (1, 1+epsilon). (en)
Title
  • FO Model Checking of Interval Graphs
  • FO Model Checking of Interval Graphs (en)
skos:prefLabel
  • FO Model Checking of Interval Graphs
  • FO Model Checking of Interval Graphs (en)
skos:notation
  • RIV/00216224:14330/13:00066379!RIV14-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GAP202/11/0196)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
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http://linked.open...dnocenehoVysledku
  • 75378
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/13:00066379
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • interval graphs; first-order logic; parameterized complexity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [51B665B3A33E]
http://linked.open...v/mistoKonaniAkce
  • Riga, Latvia
http://linked.open...i/riv/mistoVydani
  • Berlin Heidelberg
http://linked.open...i/riv/nazevZdroje
  • ICALP (2) 2013
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
  • Kráľ, Daniel
  • Teska, Jakub
  • Schwartz, Jarett
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-39212-2_24
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 9783642392115
http://localhost/t...ganizacniJednotka
  • 14330
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