dc.contributor.author | Golovach, Petr | |
dc.contributor.author | Thilikos, Dimitrios M. | |
dc.date.accessioned | 2020-08-18T06:58:34Z | |
dc.date.available | 2020-08-18T06:58:34Z | |
dc.date.issued | 2019 | |
dc.Published | Golovach P, Thilikos DM. Clustering to Given Connectivities. Leibniz International Proceedings in Informatics. 2019;148:18:1-18:17 | eng |
dc.identifier.issn | 1868-8969 | en_US |
dc.identifier.uri | https://hdl.handle.net/1956/23835 | |
dc.description.abstract | We define a general variant of the graph clustering problem where the criterion of density for the clusters is (high) connectivity. In Clustering to Given Connectivities, we are given an n-vertex graph G, an integer k, and a sequence Λ = ⟨λ1, . . . , λt⟩ of positive integers and we ask whether it is possible to remove at most k edges from G such that the resulting connected components are exactly t and their corresponding edge connectivities are lower-bounded by the numbers in Λ. We prove that this problem, parameterized by k, is fixed parameter tractable, i.e., can be solved by an f(k) ⋅ n O(1) -step algorithm, for some function f that depends only on the parameter k. Our algorithm uses the recursive understanding technique that is especially adapted so to deal with the fact that we do not impose any restriction to the connectivity demands in Λ. | en_US |
dc.language.iso | eng | eng |
dc.publisher | Schloss Dagstuhl – Leibniz Center for Informatics | en_US |
dc.rights | Attribution CC BY | eng |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | eng |
dc.title | Clustering to Given Connectivities | en_US |
dc.type | Peer reviewed | |
dc.type | Journal article | |
dc.date.updated | 2020-01-17T14:55:07Z | |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright 2019 The Authors | en_US |
dc.identifier.doi | https://doi.org/10.4230/lipics.ipec.2019.18 | |
dc.identifier.cristin | 1774914 | |
dc.source.journal | Leibniz International Proceedings in Informatics | |
dc.relation.project | Norges forskningsråd: 249994 | |
dc.relation.project | Norges forskningsråd: 263317 | |