3 papers
math.GR2026
Constructing solvable groups whose character degree graphs generalize the bowtie
Jacob Laubacher, Mark L. Lewis, Lorenzo Ravaglia +1
We present here a generalized construction of a finite solvable group whose prime character degree graph has the shape and structure of the bowtie graph. As with the original bowti…
math.GR2026
Classifying Prime Character Degree Graphs With Eight Vertices
Mark L. Lewis, Andrew Summers
In this paper, an effort is made to classify which prime character degree graphs having eight vertices occur for some finite solvable group. To approach this, we compile known resu…
math.GR2017
Classifying Character Degree Graphs With 6 Vertices
Mark W. Bissler, Jacob Laubacher, Mark L. Lewis
We investigate prime character degree graphs of solvable groups that have six vertices. There are one hundred twelve non-isomorphic connected graphs with six vertices, of which all…