2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74612This paper discusses the complexity of graph pebbling, dealing with both traditional pebbling and the recently introduced game of cover pebbling. Determining whether a configuration is solvable according to either the traditional definition or the cover pebbling definition is shown to be NP-complete. The problem of determining the cover pebbling number for an arbitrary demand configuration is shown to be NP-hard.20 pages, 3 figuresCombinatorics05C99, 05C35, 68Q17The Complexity of Pebbling and Cover Pebblingtext