Evolutionary graph theory (EGT), studies the ability of a mutant gene to overtake a nite structured population. In this review, we describe the original framework for EGT and the major work that has followed it. This review looks at the calculation of the \xation probability" - the probability of a mutant taking over a population and focuses on game-theoretic applications. We look at varying topics such as alternate evolutionary dynamics, time to xation, special topological cases, and game theoretic results. Throughout the review, we examine several interesting open problems that warrant further research.
['Paulo Shakarian', 'P.G. Roos', 'Anthony N. Johnson']
A Review of Evolutionary Graph Theory With Applications to Game Theory