The degree distance of a connected graph G with vertex set V(G) is defined as $\sum\limits_{u \in V\left( G \right)} {{d_G}} \left( u \right){D_G}\left( u \right)$, where dG(u) is the degree of vertex ...

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 ...

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 ...

A couple of weeks ago, I attended and spoke at the first stop in the Neo4j GraphTour in Washington D.C. and I was able to get the best answer yet to a question that I’d been pondering: what’s the ...