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.
Recommended Citation
Hendrickson, Hannah, "Finding triangular Cayley maps with graph touring" (2022). Honors Program Theses. 186.
https://scholarship.rollins.edu/honors/186