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Full-Text Articles in Physical Sciences and Mathematics

Structure And Properties Of Maximal Outerplanar Graphs., Benjamin Allgeier Aug 2009

Structure And Properties Of Maximal Outerplanar Graphs., Benjamin Allgeier

Electronic Theses and Dissertations

Outerplanar graphs are planar graphs that have a plane embedding in which each vertex lies on the boundary of the exterior region. An outerplanar graph is maximal outerplanar if the graph obtained by adding an edge is not outerplanar. Maximal outerplanar graphs are also known as triangulations of polygons. The spine of a maximal outerplanar graph G is the dual graph of G without the vertex that corresponds to the exterior region. In this thesis we study metric properties involving geodesic intervals, geodetic sets, Steiner sets, different concepts of boundary, and also relationships between the independence numbers and domination numbers …


Electrochemically Mediated Charge Transfer Effects On Single-Walled Carbon Nanotubes., Buddika Ka. Abeyweera 1980- May 2009

Electrochemically Mediated Charge Transfer Effects On Single-Walled Carbon Nanotubes., Buddika Ka. Abeyweera 1980-

Electronic Theses and Dissertations

This thesis is based on experimental work on electrochemically mediated charge transfer effects on Single-walled carbon nanotube bundles. The study of these effects are very important towards understanding the sensitivity of gases on nanostructures like single-walled carbon nanotubes. Chapter one covers the introduction and overview of carbon nanostructures including single-walled carbon nanotubes. Chapter two covers the experimental techniques involving sample preparation, experimental setup and data acquisition. Chapter three consists of Results and the Discussions explaining the mechanisms based on charge transfer mechanism. In the final chapter, implications and the importance of the study are explained. Single-walled carbon nanotubes are used …