Title page for ETD etd-021408-102227

Document Type thesis

Author Name Potter, John R

URN etd-021408-102227

Title Pseudo-Triangulations On Closed Surfaces

Degree MS

Department Mathematical Sciences

Advisors
Brigitte Servatius, Advisor

Keywords
Embeddings
Graph Theory
Pseudo-Triangulations

Date of Presentation/Defense 2007-12-12

Availability unrestricted

Abstract
Shifting attention from the plane to the sphere and torus, we extend the study of pseudo-triangulations. Planar representations of each surface are used. A number of theorems and concepts are taken from the plane and applied to the sphere and torus not only for pseudo-triangulations but for triangulations as well. We found the number of edges and faces in a triangulation on n vertices in the plane, on the sphere and on the torus.

Files
Potter.pdf

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Document Type	thesis
Author Name	Potter, John R
URN	etd-021408-102227
Title	Pseudo-Triangulations On Closed Surfaces
Degree	MS
Department	Mathematical Sciences
Advisors	Brigitte Servatius, Advisor
Keywords	Embeddings Graph Theory Pseudo-Triangulations
Date of Presentation/Defense	2007-12-12
Availability	unrestricted
Abstract Shifting attention from the plane to the sphere and torus, we extend the study of pseudo-triangulations. Planar representations of each surface are used. A number of theorems and concepts are taken from the plane and applied to the sphere and torus not only for pseudo-triangulations but for triangulations as well. We found the number of edges and faces in a triangulation on n vertices in the plane, on the sphere and on the torus.
Files	Potter.pdf