Linear-time algorithms for graphs with bounded branchwidth

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dc.contributor.advisorDean, Nathanielen_US
dc.contributor.advisorCook, William J.en_US
dc.creatorChristian, William Anderson, Jren_US
dc.date.accessioned2009-06-04T06:42:54Zen_US
dc.date.available2009-06-04T06:42:54Zen_US
dc.date.issued2003en_US
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.en_US
dc.format.extent108 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH.SCI. 2003 CHRISTIANen_US
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>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/18516en_US
dc.language.isoengen_US
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.en_US
dc.subjectMathematicsen_US
dc.subjectIndustrial engineeringen_US
dc.subjectComputer scienceen_US
dc.titleLinear-time algorithms for graphs with bounded branchwidthen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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