Ramsey Theory

Ramsey theory is a branch of mathematics that focuses on the appearance of order in a substructure given a structure of a specific size. This paper will explore some basic definitions of and history behind Ramsey theory, but will focus on a subsection of Ramsey theory known as Ramsey numbers. A discussion of what Ramsey numbers are, some examples of their relevance in real-life scenarios, and a computational method for determining Ramsey numbers will be provided in an attempt to create an accessible, easy to understand look at an interesting topic.