Worcester Polytechnic Institute Electronic Theses and Dissertations Collection

Title page for ETD etd-021408-102227


Document Typethesis
Author NamePotter, John R
URNetd-021408-102227
TitlePseudo-Triangulations On Closed Surfaces
DegreeMS
DepartmentMathematical Sciences
Advisors
  • Brigitte Servatius, Advisor
  • Keywords
  • Embeddings
  • Graph Theory
  • Pseudo-Triangulations
  • Date of Presentation/Defense2007-12-12
    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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