On the structure of the adjacency matrix of the line digraph of a regular digraph

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99873We show that the adjacency matrix M of the line digraph of a d-regular digraph D on n vertices can be written as M=AB, where the matrix A is the Kronecker product of the all-ones matrix of dimension d with the identity matrix of dimension n and the matrix B is the direct sum of the adjacency matrices of the factors in a dicycle factorization of D.5 pagesCombinatoricsOn the structure of the adjacency matrix of the line digraph of a regular digraphtext