2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131995The Hamiltonian cycle problem in digraph is mapped into a matching cover bipartite graph. Based on this mapping, it is proved that determining existence a Hamiltonian cycle in graph is $O(n^3)$.6 papersData Structures and AlgorithmsComputational ComplexityDiscrete MathematicsThe Complexity of Determining Existence a Hamiltonian Cycle is $O(n^3)$text