2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73717A toroidal grid graph is a Cartesian product of cycles, and the run length of a Hamiltonian cycle in a grid graph is defined to be the maximum number r such that any r consecutive edges include no more than one edge in any dimension. By constructive methods, we place bounds on the maximum run length possible for a Hamiltonian cycle in several families of grid graphs.8 pages, 2 figuresCombinatorics05C38Maximum run length in a toroidal grid graphtext