Date of Award

Spring 2022

Thesis Type

Open Access

Degree Name

Honors Bachelor of Arts

Department

Mathematics

Sponsor

Mark Anderson

Committee Member

Sheri Boyd

Committee Member

Lixia Wang

Abstract

We develop a method for determining whether certain kinds of Cayley maps can exist by using multi-digraph representations of the data in the Cayley maps. Euler tours of these multi-digraphs correspond exactly to the permutations which define Cayley maps. We also begin to classify which 3-regular multi-digraphs have "non-backtracking" Euler tours in general.

Share

COinS