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  • In this paper we look at complexity aspects of the following problem (matroid representability) which seems to play an important role in structural matroid theory: Given a rational matrix representing the matroid $M$, the question is whether $M$ can be represented also over another specific finite field. We prove this problem is hard, and so is the related problem of minor testing in rational matroids. The results hold even if we restrict to matroids of branch-width three.
  • In this paper we look at complexity aspects of the following problem (matroid representability) which seems to play an important role in structural matroid theory: Given a rational matrix representing the matroid $M$, the question is whether $M$ can be represented also over another specific finite field. We prove this problem is hard, and so is the related problem of minor testing in rational matroids. The results hold even if we restrict to matroids of branch-width three. (en)
Title
  • On Matroid Representability and Minor Problems
  • On Matroid Representability and Minor Problems (en)
skos:prefLabel
  • On Matroid Representability and Minor Problems
  • On Matroid Representability and Minor Problems (en)
skos:notation
  • RIV/00216224:14330/06:00015807!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(1M0545), P(GA201/05/0050)
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
  • 490355
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/06:00015807
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • crossing number; crossing minimization; planarization; crossing-critical graphs (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [6249BC341E30]
http://linked.open...v/mistoKonaniAkce
  • Stará Lesná, Slovakia
http://linked.open...i/riv/mistoVydani
  • Berlin
http://linked.open...i/riv/nazevZdroje
  • 31st International Symposium, MFCS 2006
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
  • Hliněný, Petr
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000240271700044
http://linked.open.../riv/zahajeniAkce
number of pages
http://purl.org/ne...btex#hasPublisher
  • Springer-Verlag
https://schema.org/isbn
  • 3-540-37791-3
http://localhost/t...ganizacniJednotka
  • 14330
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