Type of Document	Dissertation
Author	Ison, Molly E.
URN	etd-10072005-173425
Title	Two Aspects of Topology in Graph Configuration Spaces
Degree	Master of Science
Department	Mathematics
Advisory Committee	Advisor Name Title Peter Haskell Committee Chair Daniel Farkas Committee Member Ezra Brown Committee Member
Keywords	braid group manifold pseudomanifold with boundary fundamental group graph configuration space
Date of Defense	2005-10-07
Availability	unrestricted
Abstract A 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.
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