Lattice Structures in Finite Graph Topologies

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dc.contributor.advisorHart, Jamesen_US
dc.contributor.authorFrazier, Brian Phillipen_US
dc.contributor.committeememberYe, Dongen_US
dc.contributor.committeememberStephens, Chrisen_US
dc.contributor.committeememberSeo, Suken_US
dc.contributor.departmentBasic & Applied Sciencesen_US
dc.date.accessioned2015-06-12T19:04:12Z
dc.date.available2015-06-12T19:04:12Z
dc.date.issued2015-08-15en_US
dc.description.abstractIn his 2005 dissertation, Antoine Vella studied the relationships between hypergraphsen_US
dc.description.abstractand a topological space defined using graph-theoretical concepts called the classicalen_US
dc.description.abstracttopology. In this paper, we take this process a step further to open set latticesen_US
dc.description.abstractconstructed from these topological spaces. In this paper, we will characterize theen_US
dc.description.abstractstructure of these lattices entirely for finite simple graphs. We then use these resultsen_US
dc.description.abstractto conjecture on a possible relationship between hypergraphs and open set lattices.en_US
dc.description.degreeM.S.en_US
dc.identifier.urihttp://jewlscholar.mtsu.edu/handle/mtsu/4461
dc.publisherMiddle Tennessee State Universityen_US
dc.subjectBoolean Latticesen_US
dc.subjectGraph Theoryen_US
dc.subjectGraph Topologyen_US
dc.subjectLattice Theoryen_US
dc.subjectOrder Theoryen_US
dc.subjectTopologyen_US
dc.subject.umiMathematicsen_US
dc.thesis.degreegrantorMiddle Tennessee State Universityen_US
dc.thesis.degreelevelMastersen_US
dc.titleLattice Structures in Finite Graph Topologiesen_US
dc.typeThesisen_US

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