Browsing Electronic Theses and Dissertations by Author "C. Bruce Hughes"
Now showing items 1-2 of 2
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Schroeder, Justin Zane (2012-03-28)Department: MathematicsA 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). ...
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Corson, Samuel Mark (2016-04-09)Department: MathematicsWe 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 ...