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 ...
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 ...
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 ...
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