A graph theoretical model for the analysis of the game of football and a discussion of applications thereof

Abstract

In this dissertation an epidemiological approach is used to develop a graph theoretical model for the game of football. This model is a preliminary model due to the limitation of available resources. Even in its preliminary form, it is evident that significant information is obtained and easily displayed using graphs and adjacency matrices. A similar approach may be used in other game-like situations where coaches (manipulators) make decisions about strategy and tactics in order to prevail over opponents. In our case, the goal is to create a package of tools for the working professional in the field, i.e., the football coach and his assistants. As a study, this paper discusses its construction and methods, including procedures used to collect the data, analysis of the data, conclusions drawn, and commentary on future designs.