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Parallel Algorithms for $K_{5}$-minor Free Graphs

dc.contributor.authorKhuller, Samiren_US
dc.date.accessioned2007-04-23T17:32:16Z
dc.date.available2007-04-23T17:32:16Z
dc.date.issued1988-04en_US
dc.description.abstractFor several problems, restricting attention to special classes of graphs has yielded better algorithms. In particular, restricting to planar graphs yields efficient parallel algorithms for several graph problems. In this paper, we extend these algorithms to $K_{5}$-minor free graphs, showing that the restriction of planarity is not important. The two problems dealt with are: graph coloring and maximal independent sets. We also show that $K_{5}$-minor free graphs are four colorable (this bound is tight). We also give an NC algorithms to recognize $K_{5}$-minor free graphs.en_US
dc.format.extent1216957 bytes
dc.format.extent308530 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/postscript
dc.identifier.citationhttp://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR88-909en_US
dc.identifier.urihttps://hdl.handle.net/1813/6749
dc.language.isoen_USen_US
dc.publisherCornell Universityen_US
dc.subjectcomputer scienceen_US
dc.subjecttechnical reporten_US
dc.titleParallel Algorithms for $K_{5}$-minor Free Graphsen_US
dc.typetechnical reporten_US

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