The Moore-Penrose inverse of the distance matrix of a helm graph
The Moore-Penrose inverse of the distance matrix of a helm graph
In this paper, we give necessary and sufficient conditions for a real symmetric matrix and, in particular, for the distance matrix $D(H_n)$ of a helm graph $H_n$ to have their Moore-Penrose inverses as the sum of a symmetric Laplacian-like matrix and a rank-one matrix. As a consequence, we present a …