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dc.contributor.authorHajiaghayi, Mohammad Taghi
dc.contributor.authorDemaine, Erik D.
dc.contributor.authorThilikos Touloupas, Dimitrios
dc.identifier.citationHajiaghayi, M., Demaine, E., Thilikos, D. "Exponential speedup of fixed parameter algorithms on K_{3,3}-minor-free or K_{5}-minor-free graphs". 2002.
dc.description.abstractWe present a fixed parameter algorithm that constructively solves the k-dominating set problem on graphs excluding one of the K_{5} or K_3,3 as a minor in time O(3^{6sqrt{34 k}}n^{O(1)}). In fact, we present our algorithm for any H-minor-free graph where H is a single-crossing graph (can be drawn on the plane with at most one crossing) and obtain the algorithm for K_{3,3} (K_{5})-minor-free graphs as a special case. As a consequence, we extend our results to several other problems such as vertex cover, edge dominating set, independent set, clique-transversal set, kernels in digraphs, feedback vertex set and a series of vertex removal problems. Our work generalizes and extends the recent result of exponential speedup in designing fixed-parameter algorithms on planar graphs due to Alber et al. to other (non-planar) classes of graphs.
dc.format.extent22 p.
dc.subjectÀrees temàtiques de la UPC::Informàtica::Programació
dc.subject.otherFixed parameter algorithm
dc.subject.otherExponential speedup
dc.titleExponential speedup of fixed parameter algorithms on K_{3,3}-minor-free or K_{5}-minor-free graphs
dc.typeExternal research report
dc.contributor.groupUniversitat Politècnica de Catalunya. ALBCOM - Algorismia, Bioinformàtica, Complexitat i Mètodes Formals
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
local.citation.authorHajiaghayi, M.; Demaine, E.; Thilikos, D.

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