2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144853Lagrangian relaxation has been used extensively in the design of approximation algorithms. This paper studies its strengths and limitations when applied to Partial Cover.20 pages, extended abstract appeared in STACS 2008Data Structures and AlgorithmsDiscrete MathematicsG.2.1text