About: Computing the Tutte Polynomial on Graphs of Bounded Clique-Width (extended abstract)     Goto   Sponge   NotDistinct   Permalink

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  • The Tutte polynomial is a notoriously hard graph invariant, and efficient algorithms for it are known only for a few special graph classes, like for those of bounded tree-width. The notion of clique-width extends the definition of cograhs (graphs without induced P4), and it is a more general notion than that of tree-width. We show a subexponential algorithm (running in time expO(n2/3) ) for computing the Tutte polynomial on cographs. The algorithm can be extended to a subexponential algorithm computing the Tutte polynomial on on all graphs of bounded clique-width. In fact, our algorithm computes the more general U-polynomial.
  • The Tutte polynomial is a notoriously hard graph invariant, and efficient algorithms for it are known only for a few special graph classes, like for those of bounded tree-width. The notion of clique-width extends the definition of cograhs (graphs without induced P4), and it is a more general notion than that of tree-width. We show a subexponential algorithm (running in time expO(n2/3) ) for computing the Tutte polynomial on cographs. The algorithm can be extended to a subexponential algorithm computing the Tutte polynomial on on all graphs of bounded clique-width. In fact, our algorithm computes the more general U-polynomial. (en)
Title
  • Computing the Tutte Polynomial on Graphs of Bounded Clique-Width (extended abstract)
  • Computing the Tutte Polynomial on Graphs of Bounded Clique-Width (extended abstract) (en)
skos:prefLabel
  • Computing the Tutte Polynomial on Graphs of Bounded Clique-Width (extended abstract)
  • Computing the Tutte Polynomial on Graphs of Bounded Clique-Width (extended abstract) (en)
skos:notation
  • RIV/00216224:14330/05:00012661!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
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  • 516144
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/05:00012661
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Tutte polynomial; cographs; clique-width; subexponential algorithm; U polynomial (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [991AEC72389F]
http://linked.open...v/mistoKonaniAkce
  • Metz, France
http://linked.open...i/riv/mistoVydani
  • Berlin
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  • WG 2005
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  • Hliněný, Petr
  • Gimenez, Omer
  • Noy, Marc
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000234875500006
http://linked.open.../riv/zahajeniAkce
number of pages
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  • Springer-Verlag
https://schema.org/isbn
  • 978-3-540-31000-6
http://localhost/t...ganizacniJednotka
  • 14330
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