Browsing Theses by Author "Mullin, Natalie Ellen"
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Self-Complementary Arc-Transitive Graphs and Their Imposters
Mullin, Natalie Ellen (University of Waterloo, 2009-01-28)This thesis explores two infinite families of self-complementary arc-transitive graphs: the familiar Paley graphs and the newly discovered Peisert graphs. After studying both families, we examine a result of Peisert which ... -
Uniform Mixing of Quantum Walks and Association Schemes
Mullin, Natalie Ellen (University of Waterloo, 2013-09-26)In recent years quantum algorithms have become a popular area of mathematical research. Farhi and Gutmann introduced the concept of a quantum walk in 1998. In this thesis we investigate mixing properties of continuous-time ...