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Comparing 17 graph parameters

Bergen Open Research Archive

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dc.contributor.author Sasák, Róbert
dc.date.accessioned 2010-12-02T12:10:41Z
dc.date.available 2010-12-02T12:10:41Z
dc.date.issued 2010-08-02
dc.date.submitted 2010-08-02 en
dc.identifier.uri http://hdl.handle.net/1956/4329
dc.description.abstract Many parametrized problems were decided to be FPT or W-hard. However, there is still thousands of problems and parameters for which we do not know yet whether are FPT or W-hard. In this thesis, we provide a tool for extending existing results to additional parametrized problems. We use the comparison relation for comparing graph parameters, i.e. we say that parameter p1 is bounded by parameter p2 if exists a function f that for every graph G holds p1(G)<=f(p2(G)). This allows us to extend results for parametrized problem P in two ways. If problem P parametrized by p1 is FPT then also P parametrized by p2 is FPT. Or wise-versa, if problem P parametrized by p2 is W-hard then also P parametrized by p1 is W-hard. Moreover, we show whether is a parameter bounded by another parameter for the 17 graph parameters: path-width, tree-width, branch-width, clique-width, rank-width, boolean-width, maximum independent set, minimum dominating set, vertex cover number, maximum clique, chromatic number, maximum matching, maximum induced matching, cut-width, carving-width, degeneracy and tree-depth. To avoid all 272 different comparisons, we introduce methodology for examining graph parameters which rapidly reduce number of comparisons. And finally, we provide comparison diagram for all 17 parameters. en
dc.format.extent 745190 bytes en
dc.format.mimetype application/pdf en
dc.language.iso eng en
dc.publisher The University of Bergen en
dc.rights Copyright the author. All rights reserved en
dc.title Comparing 17 graph parameters en
dc.type Master thesis
dc.type.degree Master i Informatikk en
dc.type.course INF399 en
dc.subject.nsi VDP::Matematikk og Naturvitenskap: 400::Informasjons- og kommunikasjonsvitenskap: 420 en
dc.rightsHolder The author en
dc.subject.archivecode Mastergrad
dc.subject.nus 754199
dc.type.program MAMN-INF


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