2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61780A graph embedded in the 3-sphere is called irreducible if it is non-splittable and for any 2-sphere embedded in the 3-sphere that intersects the graph at one point the graph is contained in one of the 3-balls bounded by the 2-sphere. We show that irreducibility is preserved under certain deformations of embedded graphs. We show that certain embedded graphs are irreducible.4 pages, 4 figuresGeometric Topology57M25text