The Torus and Graph Theory

Authors

Kyla Davis, The College of Wooster

Abstract

Often we find properties of planar graphs that can be generalized for other surfaces. This study explores and compares such properties of planar graphs with toroidal graphs, with notable topics such as the Euler characteristic and formula, Kuratowski's Theorem and the Four Color Theorem.

Advisor

Moynihan, Matthew

Department

Mathematics

Recommended Citation

Davis, Kyla, "The Torus and Graph Theory" (2013). Senior Independent Study Theses. Paper 957.
https://openworks.wooster.edu/independentstudy/957

Disciplines

Applied Mathematics

Keywords

torus, graph theory, graph, planar, embeddable, toroidal, euler, kuratowski

Publication Date

2013

Degree Granted

Bachelor of Arts

Document Type

Senior Independent Study Thesis