(i,j)-step competition graphs

Researchers: Max Black and Carissa Babcock

Mentor: Dr. Kim A.S. Factor

Background

Cohen, in 1968, began modeling ecosystems with competition graphs. Consequently, mathematicians began developing the theory of competition graphs. Competition graphs are, essentially, graphs

Objectives

During this project, we will examine and explore the following:

1. Previous research regarding competition graphs and (1,2)-step competition graphs of food webs
2. Competition graphs and (1,2)-step competition graphs of a specific food web

Additionally, we will further previous research by doing the following:

1. Furthering research on (i,j)-step competition graphs by exploring new theory and computation
2. Applying competition graphs and (i,j)-step competition graphs in new areas