The Coprime Graph of Groups
College
College of Arts and Sciences
Department
Mathematics
Abstract
Recently, investigation of the coprime graph of a group was initiated. The coprime graph of a group is a graph with vertices as group elements and an edge between two vertices if and only if their order (in the group) is relatively prime. We will explore chromatic, clique, and independence number for certain classes of finite groups. In addition, we classify which abelian groups give rise to perfect coprime graphs. We obtain a partial result on the class of nonabelian groups.
Honors Thesis Committee
Jessica Hamm, Ph.D.; Arran Hamm, Ph.D.; and Kristen Abernathy, Ph.D.
Start Date
20-4-2018 1:30 PM
The Coprime Graph of Groups
West 221
Recently, investigation of the coprime graph of a group was initiated. The coprime graph of a group is a graph with vertices as group elements and an edge between two vertices if and only if their order (in the group) is relatively prime. We will explore chromatic, clique, and independence number for certain classes of finite groups. In addition, we classify which abelian groups give rise to perfect coprime graphs. We obtain a partial result on the class of nonabelian groups.
