3 papers
math.GR2023
Classifying character degree graphs with seven vertices
Jacob Laubacher, Mark Medwid, Dylan Schuster
We study here the graphs with seven vertices in an effort to classify which of them appear as the prime character degree graphs of finite solvable groups. This classification is co…
math.GR2021
On prime character degree graphs occurring within a family of graphs (ii)
Sara DeGroot, Jacob Laubacher, Mark Medwid
In this paper, we continue the classification work done in the first paper of the same name. With careful modifications of our previous approach, we are able to deduce (with two no…
math.GR2020
On prime character degree graphs occurring within a family of graphs
Jacob Laubacher, Mark Medwid
In this paper we investigate families of connected graphs which do not contain an odd cycle in their complement. Specifically, we consider graphs formed by two complete graphs conn…