Our investigation involves analyzing circumstances under which a certain Z-matrix, derived from the tree and whose order is one less than the number of vertices ...

Feb 8, 1997 · We characterize all weighted trees whose Laplacian has a group inverse which is an M- matrix. Actually, only a very narrow set of weighted trees ...

The M-Matrix Group Generalized Inverse Problem for Weighted Trees. Kirkland, S.J.; Neumann, M. SIAM Journal on Matrix Analysis and Applications 19(1): 226-234.

Apr 18, 2023 · In this work, we obtain the group inverse of the combinatorial Laplacian matrix of distance-biregular graphs.

Apr 4, 2023 · The works in [11] provide characterizations for all weighted trees whose Moore-Penrose inverse of the combinatorial Laplacian is an M-matrix.

Apr 4, 2023 · Abstract. In this work, we obtain the group inverse of the combinatorial Laplacian matrix of distance- biregular graphs.

Kirkland and M. Neumann, The M-Matrix Group Inverse Problem for Weighted Trees, SIAM Journal on Matrix Analysis and Applications 19 (1998), 226-234. S ...

Apr 1, 2021 · The endeavour of the present work is to study the more general class of all group invertible matrices (not necessarily singular M-matrices) ...

PDF | In this paper we provide the group inverse of the combinatorial Laplacian matrix of distance-biregular graphs using the so-called equilibrium.

Abstract. In two recent works the condition of the diagonal entries of the group inverse of a singular and irreducible M-matrix being uniform (constant) has ...