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dc.contributor.authorKim, Eun Jung
dc.contributor.authorLanger, Alexander
dc.contributor.authorPaul, Christophe
dc.contributor.authorReidl, Felix
dc.contributor.authorRossmanith, Peter
dc.contributor.authorSau Valls, Ignasi
dc.date.accessioned2020-05-27T13:38:26Z
dc.date.available2020-05-27T13:38:26Z
dc.date.issued2016
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20789
dc.language.isoenen
dc.subjectTheory of computationen
dc.subjectDesign and analysis of algorithmsen
dc.subjectParameterized complexity and exact algorithmsen
dc.subjectFixed parameter tractabilityen
dc.subject.ddc511en
dc.titleLinear Kernels and Single-Exponential Algorithms Via Protrusion Decompositionsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe present a linear-time algorithm to compute a decomposition scheme for graphs G that have a set X⊆V(G), called a treewidth-modulator, such that the treewidth of G − X is bounded by a constant. Our decomposition, called a protrusion decomposition, is the cornerstone in obtaining the following two main results. Our first result is that any parameterized graph problem (with parameter k) that has a finite integer index and such that Yes-instances have a treewidth-modulator of size O(k) admits a linear kernel on the class of H-topological-minor-free graphs, for any fixed graph H. This result partially extends previous meta-theorems on the existence of linear kernels on graphs of bounded genus and H-minor-free graphs. Let F be a fixed finite family of graphs containing at least one planar graph. Given an n-vertex graph G and a non-negative integer k, Planar-F-Deletion asks whether G has a set X⊆V(G) such that |X| ⩽ k and G − X is H-minor-free for every H ϵ F. As our second application, we present the first single-exponential algorithm to solve Planar-F-Deletion. Namely, our algorithm runs in time 2O(k) · n2, which is asymptotically optimal with respect to k. So far, single-exponential algorithms were only known for special cases of the family F.en
dc.relation.isversionofjnlnameACM Transactions on Algorithms
dc.relation.isversionofjnlvol12en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2016
dc.relation.isversionofdoi10.1145/2797140en
dc.identifier.urlsitehttps://hal-lirmm.ccsd.cnrs.fr/lirmm-01288472en
dc.subject.ddclabelPrincipes généraux des mathématiquesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewednonen
dc.relation.Isversionofjnlpeerreviewednonen
dc.date.updated2020-05-27T13:34:32Z
hal.person.labIds989
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