Character degree graphs constitute a powerful tool in the study of finite groups, encapsulating the interplay between group representation theory and graph theory. These graphs are constructed by ...

Let G be a finite group, and write cd(G) for the set of degrees of irreducible characters of G. We define Γ(G) to be the graph whose vertex set is cd(G) - {1}, and ...

The tangent is defined as the single point where a straight line meets a curved surface. The tangent can be determined with a collection of mathematical formulas but is most commonly determined by ...

This is a preview. Log in through your library . Abstract This paper is mainly concerned with the realizability of a set of n integers as the degrees of vertices of an n-vertex linear graph. Other ...