Two Aspects of Topology in Graph Configuration Spaces

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dc.contributor.authorIson, Molly Elizabethen
dc.contributor.committeechairHaskell, Peter E.en
dc.contributor.committeememberBrown, Ezra A.en
dc.contributor.committeememberFarkas, Daniel R.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:17:09Zen
dc.date.adate2005-11-01en
dc.date.available2014-03-14T20:17:09Zen
dc.date.issued2005-10-07en
dc.date.rdate2005-11-01en
dc.date.sdate2005-10-07en
dc.description.abstractA graph configuration space is generated by the movement of a finite number of robots on a graph. These configuration spaces of points in a graph are topologically interesting objects. By using local, combinatorial properties, we define a new classification of graphs whose configuration spaces are pseudomanifolds with boundary. In algebraic topology, graph configuration spaces are closely related to classical braid groups, which can be described as fundamental groups of configuration spaces of points in the plane. We examine this relationship by finding a presentation for the fundamental group of one graph configuration space.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-10072005-173425en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10072005-173425/en
dc.identifier.urihttp://hdl.handle.net/10919/29214en
dc.publisherVirginia Techen
dc.relation.haspartMolly_Ison_thesis.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectfundamental groupen
dc.subjectpseudomanifold with boundaryen
dc.subjectmanifolden
dc.subjectbraid groupen
dc.subjectgraphen
dc.subjectconfiguration spaceen
dc.titleTwo Aspects of Topology in Graph Configuration Spacesen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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