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List-Edge Coloring Planar Graphs with Bounded Maximum Degree


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dc.contributor.advisorMcDonald, Jessica
dc.contributor.authorHarrelson, Joshua
dc.date.accessioned2019-07-23T17:55:34Z
dc.date.available2019-07-23T17:55:34Z
dc.date.issued2019-07-23
dc.identifier.urihttp://hdl.handle.net/10415/6870
dc.description.abstractIn this thesis we prove that triangulations of maximum degree 5 are 6-list-edge-colorable. We also find necessary conditions for maximum degree to extend a list-edge-precoloring to E(G) for a planar graph G. The techniques used for these two results are the kernel method, the quantitative combinatorial nullstellensatz, and the discharging method.en_US
dc.subjectMathematics and Statisticsen_US
dc.titleList-Edge Coloring Planar Graphs with Bounded Maximum Degreeen_US
dc.typePhD Dissertationen_US
dc.embargo.statusNOT_EMBARGOEDen_US

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