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 ...

In 2012, when Knowledge Graph first debuted, its visual was a panel that appeared on the side of the screen alongside the standard Google search results. The information in the panel ranged from ...

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 ...

In honor of college graduation season, we made a graph. It answers a few questions we had: What is the mix of bachelor's degrees awarded today, and how has the mix changed over the past several ...

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 ...