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  • Let $(X_1,X_2)$ be an exact $k$--separation of a matroid $N$. If $M$ is a matroid that contains $N$ as a minor and the $k$--separation $(X_1,X_2)$ does not extend to a $k$--separation in $M$ then we say that $M$ {\em bridges} the $k$--separation $(X_1,X_2)$ in $N$. One would hope that a minor minimal bridge for $(X_1,X_2)$ would not be much larger than $N$. Unfortunately there are instances in which one can construct arbitaraily large minor minimal bridges. We restrict our attention to the class of matroids representable over a fixed finite field and show that here minor minimal bridges are bounded in size.
  • Let $(X_1,X_2)$ be an exact $k$--separation of a matroid $N$. If $M$ is a matroid that contains $N$ as a minor and the $k$--separation $(X_1,X_2)$ does not extend to a $k$--separation in $M$ then we say that $M$ {\em bridges} the $k$--separation $(X_1,X_2)$ in $N$. One would hope that a minor minimal bridge for $(X_1,X_2)$ would not be much larger than $N$. Unfortunately there are instances in which one can construct arbitaraily large minor minimal bridges. We restrict our attention to the class of matroids representable over a fixed finite field and show that here minor minimal bridges are bounded in size. (en)
Title
  • Bridging Separations in Matroids
  • Bridging Separations in Matroids (en)
skos:prefLabel
  • Bridging Separations in Matroids
  • Bridging Separations in Matroids (en)
skos:notation
  • RIV/00216224:14330/05:00028918!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/05/0050)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 514174
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/05:00028918
http://linked.open...riv/jazykVysledku
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  • matroid; separation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [E7D39C814FD3]
http://linked.open...i/riv/nazevZdroje
  • SIAM Journal on Discrete Mathematics
http://linked.open...in/vavai/riv/obor
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 18
http://linked.open...iv/tvurceVysledku
  • Hliněný, Petr
  • Whittle, Geoff
  • Geelen, Jim
http://linked.open...ain/vavai/riv/wos
  • 000228918000018
issn
  • 0895-4801
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
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