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  • It has been proved by the author that all matroid properties definable in the monadic second-order (MSO) logic can be recognized in polynomial time for matroids of bounded branch-width which are represented by matrices over finite fields. (This result extends so called ``$MS_2$-theorem'' of graphs by Courcelle and others.) In this work we review the MSO theory of finite matroids and show some interesting matroid properties which are MSO-definable. In particular, all minor-closed properties are recognizable in such way.
  • It has been proved by the author that all matroid properties definable in the monadic second-order (MSO) logic can be recognized in polynomial time for matroids of bounded branch-width which are represented by matrices over finite fields. (This result extends so called ``$MS_2$-theorem'' of graphs by Courcelle and others.) In this work we review the MSO theory of finite matroids and show some interesting matroid properties which are MSO-definable. In particular, all minor-closed properties are recognizable in such way. (en)
Title
  • On matroid properties definable in the MSO logic
  • On matroid properties definable in the MSO logic (en)
skos:prefLabel
  • On matroid properties definable in the MSO logic
  • On matroid properties definable in the MSO logic (en)
skos:notation
  • RIV/61989100:27240/03:00008404!RIV/2004/MSM/272404/N
http://linked.open.../vavai/riv/strany
  • 470-479
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM 272400013)
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
  • 619378
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/03:00008404
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • matroid, branch-width, MSO logic, parametrized complexity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [E037E96D5335]
http://linked.open...v/mistoKonaniAkce
  • Berlin
http://linked.open...i/riv/mistoVydani
  • Berlin Heidelberg
http://linked.open...i/riv/nazevZdroje
  • Math Foundations of Computer Science MFCS 2003, Lecture Notes in Computer Science 2747
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Hliněný, Petr
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag. (Berlin; Heidelberg)
http://localhost/t...ganizacniJednotka
  • 27240
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