About: Finding Branch-decompositions and Rank-decompositions     Goto   Sponge   NotDistinct   Permalink

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Description
  • We present a new algorithm that can output the rank-decomposition of width at most k of a graph if such exists. For that we use an algorithm that, for an input matroid represented over a fixed finite field, outputs its branch-decomposition of width at most k if such exists. This algorithm works also for partitioned matroids. Both these algorithms are fixed-parameter tractable, that is, they run in time O(n3) for each fixed value of k where n is the number of vertices / elements of the input.
  • We present a new algorithm that can output the rank-decomposition of width at most k of a graph if such exists. For that we use an algorithm that, for an input matroid represented over a fixed finite field, outputs its branch-decomposition of width at most k if such exists. This algorithm works also for partitioned matroids. Both these algorithms are fixed-parameter tractable, that is, they run in time O(n3) for each fixed value of k where n is the number of vertices / elements of the input. (en)
Title
  • Finding Branch-decompositions and Rank-decompositions
  • Finding Branch-decompositions and Rank-decompositions (en)
skos:prefLabel
  • Finding Branch-decompositions and Rank-decompositions
  • Finding Branch-decompositions and Rank-decompositions (en)
skos:notation
  • RIV/00216224:14330/07:00024655!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita
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  • P(1M0545), P(GA201/05/0050)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 422032
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  • RIV/00216224:14330/07:00024655
http://linked.open...riv/jazykVysledku
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  • matroid; branch-width; parametrized algorithm (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [86E7D3E23BD3]
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Hliněný, Petr
  • Oum, Sang il
http://localhost/t...ganizacniJednotka
  • 14330
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