On Variant Clique Problems and their Applications

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dc.contributor.authorXiao, Zhuoli
dc.contributor.supervisorUlrike, Stege
dc.date.accessioned2018-11-13T20:49:53Z
dc.date.available2018-11-13T20:49:53Z
dc.date.copyright2018en_US
dc.date.issued2018-11-13
dc.degree.departmentDepartment of Computer Science
dc.degree.levelMaster of Applied Science M.A.Sc.en_US
dc.description.abstractClique-based problems, often called cluster problems, receive more and more attention in computer science as well as many of its application areas. Clique-based problems can be used to model a number of real-world problems and with this comes the motivation to provide algorithmic solutions for them. While one can nd quite a lot of literature on clique-based problems in general, only for few speci c versions exact algorithmic solutions are discussed in detail. In this project, we survey such cliquebased problems from the literature, investigate their properties, their exact algorithms and respective running times, and discuss some of their applications. In particular, in depth we consider the two NP-complete clique-based problems Edge Clique Partition and Edge Clique Cover. For their natural parameterizations, k-Edge Clique Partition and k-Edge Clique Cover, we present xedparameter algorithms based on results in the literature, suggest some pre-processing rules (also called reduction rules) that we have not seen in the literature, as well as discuss some of their current and potential real-world applications.en_US
dc.description.scholarlevelGraduateen_US
dc.identifier.urihttp://hdl.handle.net/1828/10295
dc.language.isoenen_US
dc.rightsAvailable to the World Wide Weben_US
dc.subjectCliquesen_US
dc.subjectClustersen_US
dc.subjectParameterized Complexityen_US
dc.subjectNP-Completeen_US
dc.subjectEdge Clique Partitionen_US
dc.subjectEdge Clique Coveren_US
dc.subjectApplicationsen_US
dc.subjectGraph Theoryen_US
dc.titleOn Variant Clique Problems and their Applicationsen_US
dc.typeProjecten_US

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