Date of Award
Level of Access Assigned by Author
Master of Arts (MA)
Second Committee Member
Third Committee Member
The purpose of this thesis is to study embeddings of Harary graphs in orientable surfaces. In particular, our goal is to provide a complete description of one method of constructing a maximal embedding in an orientable surface for any Harary graph. Rotation systems, which describe the ordering of edges around the vertices of a graph, can be used to represent graph embeddings in orientable surfaces. Together with the Boundary Walk Algorithm, this representation provides a method of constructing a corresponding graph embedding. By switching adjacent edges in a rotation system, we can control the genus of the constructed embedding surface. We will explore how certain series of adjacent edge switches may be used to take standard rotation systems (which will be defined) to rotation systems corresponding to maximal embeddings of Harary graphs.
Smith, Christopher Allen, "Embeddings of Harary Graphs in Orientable Surfaces" (2019). Electronic Theses and Dissertations. 3106.
Files over 10MB may be slow to open. For best results, right-click and select "save as..."