2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116147A polynomial time algorithm that determines for a fixed integer k whether or not a P5-free graph can be k-colored is presented in this paper. If such a coloring exists, the algorithm will produce a valid k-coloring.Discrete MathematicsData Structures and AlgorithmsG.2.2text