The configuration space of two particles moving on a graph

In this thesis we study the configuration space, F (Γ, 2), of two particles moving without collisions on a graph Γ with a view to calculating the Betti numbers of this space. We develop an intersection theory for cycles in graphs inspired by the classical intersection theory for cycles in manifolds a...

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Bibliographic Details
Main Author: Barnett, Kathryn
Published: Durham University 2010
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.512944