On Variant Clique Problems and their Applications

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dc.contributor.author Xiao, Zhuoli
dc.date.accessioned 2018-11-13T20:49:53Z
dc.date.available 2018-11-13T20:49:53Z
dc.date.copyright 2018 en_US
dc.date.issued 2018-11-13
dc.identifier.uri https://dspace.library.uvic.ca//handle/1828/10295
dc.description.abstract Clique-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.language.iso en en_US
dc.rights Available to the World Wide Web en_US
dc.subject Cliques en_US
dc.subject Clusters en_US
dc.subject Parameterized Complexity en_US
dc.subject NP-Complete en_US
dc.subject Edge Clique Partition en_US
dc.subject Edge Clique Cover en_US
dc.subject Applications en_US
dc.subject Graph Theory en_US
dc.title On Variant Clique Problems and their Applications en_US
dc.type Project en_US
dc.contributor.supervisor Ulrike, Stege
dc.degree.department Department of Computer Science en_US
dc.degree.level Master of Applied Science M.A.Sc. en_US
dc.description.scholarlevel Graduate en_US

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