Honors Thesis Archive

AuthorAlexis Byers
TitleInvestigating the Algebraic Properties of Cayley Digraphs
DepartmentMathematics
AdvisorsBill Higgins, Adam Parker, and Fred Tiffany
Year2014
HonorsDepartmental Honors
Full TextView Thesis (572 KB)
AbstractThis paper utilizes Graph Theory to gain insight into the algebraic structure of a group using a Cayley digraph that depicts the group. Using the properties of Cayley digraphs, we investigate how to tell if a given digraph is a Cayley digraph, and we attempt to build Cayley digraphs. We then use the Cayley digraph to find information about the structure of the corresponding group. Finally, we examine the results of removing generators from a Cayley digraph and what it means if the digraph remains connected or is disconnected by the process.

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