Linear-time algorithms for graphs with bounded branchwidth

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dc.contributor.advisorDean, Nathaniel
dc.contributor.advisorCook, William J.
dc.creatorChristian, William Anderson, Jr
dc.date.accessioned2009-06-04T06:42:54Z
dc.date.available2009-06-04T06:42:54Z
dc.date.issued2003
dc.description.abstractWe present an algorithmic framework (including a single data structure) that is extended into linear-time algorithms to solve several NP-complete graph problems (i.e., INDEPENDENT SET, M AXIMUM CUT, GRAPH COLORING, HAMILTONIAN CYCLE, and DISJOINT PATHS). The linearity is achieved assuming the provision of a branch decomposition of the instance graph. We then modify the framework to create a multithreaded framework that uses the existing problem-specific extensions without any revision. Computational results for the serial and parallel algorithms are provided. In addition, we present a graphical package called JPAD that can display a graph and branch decomposition, show their relationship to each other, and be extended to rim and display the progress and results of algorithms on graphs or on branch decompositions.
dc.format.extent108 p.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS MATH.SCI. 2003 CHRISTIAN
dc.identifier.citationChristian, William Anderson, Jr. "Linear-time algorithms for graphs with bounded branchwidth." (2003) Diss., Rice University. <a href="https://hdl.handle.net/1911/18516">https://hdl.handle.net/1911/18516</a>.
dc.identifier.urihttps://hdl.handle.net/1911/18516
dc.language.isoeng
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
dc.subjectMathematics
dc.subjectIndustrial engineering
dc.subjectComputer science
dc.titleLinear-time algorithms for graphs with bounded branchwidth
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematical Sciences
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy
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