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Network Tomography

dc.contributor.advisorBerenstein, Carlos Aen_US
dc.contributor.authorGavilanez, Franklinen_US
dc.date.accessioned2006-09-12T06:07:25Z
dc.date.available2006-09-12T06:07:25Z
dc.date.issued2006-08-24en_US
dc.identifier.urihttp://hdl.handle.net/1903/3938
dc.description.abstractWhile conventional tomography is associated to the Radon transform in Euclidean spaces, electrical impedance tomography, or EIT, is associated to the Radon transform in the hyperbolic plane. In this dissertation, we discuss some recent work on network tomography that can be associated to a problem similar to EIT on graphs and indicate how in some sense it may be also associated to the Radon transform on trees. We develop a strategy to determine the weight w for the case of general weighted graphs. We begin by considering relatively simple regions of interest in a graph and suitable choices for the data of the w-Neumann boundary value problem to produce a linear system of equations for the values of w.en_US
dc.format.extent463481 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoen_US
dc.titleNetwork Tomographyen_US
dc.typeDissertationen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentMathematicsen_US
dc.subject.pqcontrolledMathematicsen_US
dc.subject.pqcontrolledEngineering, Electronics and Electricalen_US
dc.subject.pquncontrolledTomographyen_US
dc.subject.pquncontrolledelectrical impednce tomographyen_US
dc.subject.pquncontrolledw-harmonic functionsen_US
dc.subject.pquncontrollednetwork monitoringen_US
dc.subject.pquncontrolledRadon transformsen_US
dc.subject.pquncontrolledinverse problems in finite graphs and treesen_US


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