Browsing Electronic Theses and Dissertations by Author "C. Bruce Hughes"

Now showing items 1-2 of 2

    • Hamilton cycle embeddings of complete tripartite graphs and their applications 
      Schroeder, Justin Zane (2012-03-28)
      Department: Mathematics
      A central problem in topological graph theory is determining the (orientable or nonorientable) genus of a given graph <i>G</i>. For a general graph <i>G</i>, this problem is very difficult (in fact, it is NP-complete). ...
    • Subgroups and Quotients of Fundamental Groups 
      Corson, Samuel Mark (2016-04-09)
      Department: Mathematics
      We explore the descriptive set theory of subgroups of fundamental groups, giving theorems regarding dichotomies on cardinality. In paticular, we show that the quotient of the fundamental group of a path connected, locally ...