Austin Williams is a student of mathematics at Portland State University. This paper is the result of his undergraduate honors thesis project which he finished during the Spring 2011 academic term. He is now a graduate student working towards an MS in Mathematics. His academic interests include graph theory, algebra, number theory, combinatorics, game theory, complexity theory, and financial mathematics. When he's not doing math he enjoys day hikes with his wife, Niki.
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Faculty Sponsor: Steven A. Bleiler, Fariborz Maseeh Department of Mathematics and Statistics, Portland State University