2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/59237Given a properly embedded graph Gamma in a ball B and a punctured sphere Sigma properly embedded in B - Gamma, we examine the conditions on Gamma that are necessary to assure that Sigma is boundary parallel.22 pages, numerous figures, to appear in Journal of Knot theory and its RamificationsGeometric Topology57M99text