Show simple item record

dc.contributor.authorIson, Molly Elizabethen_US
dc.date.accessioned2014-03-14T20:17:09Z
dc.date.available2014-03-14T20:17:09Z
dc.date.issued2005-10-07en_US
dc.identifier.otheretd-10072005-173425en_US
dc.identifier.urihttp://hdl.handle.net/10919/29214
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_US
dc.publisherVirginia Techen_US
dc.relation.haspartMolly_Ison_thesis.pdfen_US
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to Virginia Tech or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectfundamental groupen_US
dc.subjectpseudomanifold with boundaryen_US
dc.subjectmanifolden_US
dc.subjectbraid groupen_US
dc.subjectgraphen_US
dc.subjectconfiguration spaceen_US
dc.titleTwo Aspects of Topology in Graph Configuration Spacesen_US
dc.typeThesisen_US
dc.contributor.departmentMathematicsen_US
dc.description.degreeMaster of Scienceen_US
thesis.degree.nameMaster of Scienceen_US
thesis.degree.levelmastersen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineMathematicsen_US
dc.contributor.committeechairHaskell, Peter E.en_US
dc.contributor.committeememberBrown, Ezra A.en_US
dc.contributor.committeememberFarkas, Daniel R.en_US
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10072005-173425/en_US
dc.date.sdate2005-10-07en_US
dc.date.rdate2005-11-01
dc.date.adate2005-11-01en_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record