Abstract
Graph theory is the study of a class of mathematical objects known as graphs. Unlike the graphs referred to in common speech, mathematical graphs are not adiagram. Rathertheyarea,typicallyfinite,collectionofverticesalongwitha a collection of edges connecting those vertices. We will be examining topics in topological graph theory, a branch of graph theory which deals with embeddings of graphs into surfaces. In particular, we will be examining the unsolved Earth-Moon problem, as well as related problems in this field. We attain bounds on the Earth-Moon problem, and we also find exact solutions for some of the related problems. In order to attain the desired results, we often use results from fields such as topology and combinatorics.
Advisor
Bowen, Jennifer
Department
Mathematics
Recommended Citation
Gates, Robert H., "The Earth-Moon Problem: A Study In Topological Graph Theory" (2017). Senior Independent Study Theses. Paper 11798.
https://openworks.wooster.edu/independentstudy/11798
Disciplines
Discrete Mathematics and Combinatorics | Geometry and Topology
Publication Date
2017
Degree Granted
Bachelor of Arts
Document Type
Senior Independent Study Thesis
© Copyright 2017 Robert H. Gates