DOI
https://doi.org/10.25772/PKGJ-6461
Defense Date
2020
Document Type
Thesis
Degree Name
Master of Science
Department
Mathematical Sciences
First Advisor
Richard Hammack
Abstract
In this thesis we consider a problem in Graph Theory known as the Dollar Game. The Dollar game was first introduced by Matthew Baker of the Georgia Institute of Technology in 2010. It is a game of solitaire, played on a graph, and is a variation of chip firing, or sand-piling games. Baker approached the problem within the context of Algebraic Geometry. It is the goal of this paper to provide an overview of the necessary graph theory to understand the problem presented in this game, as well as background on chip firing games, their history and evolution. Finally we will present a variety of results about the Dollar Game from a graph theoretical standpoint.
Rights
© The Author
Is Part Of
VCU University Archives
Is Part Of
VCU Theses and Dissertations
Date of Submission
5-17-2020