Direct sum graph of the subspaces of a finite dimensional vector space over finite fields
Direct sum graph of the subspaces of a finite dimensional vector space over finite fields
In this paper, we study a new graph structure, called the [Formula: see text] on a finite-dimensional vector space. We investigate the connectivity, diameter and the completeness of [Formula: see text]. We also determine the degree of each vertex in case the base field is finite. We establish some results …