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 d₁ ≥ d₂ ≥ ··· ≥ dn be the degree sequence of a graph G of order n and μ₁ ≥ μ₂ ≥ ··· ≥ μn = 0 be the Laplacian eigenvalues of G. In this paper, we propose a new conjecture that for any graph G ...

A uniformly random graph on n vertices with a fixed degree sequence, obeying a γ subpower law, is studied. It is shown that, for γ > 3, in a subcritical phase with ...

One of the most striking college graphs I've ever seen came from Michael Greenstone and Adam Looney at the Hamilton Project. They compared the rate of return from an associate and bachelor's degree ...