2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111459We show that after one stabilization, a strongly irreducible Heegaard splitting of suitably large genus of a graph manifold is isotopic to an amalgamation along a modified version of the system of canonical tori in the JSJ decomposition. As a corollary, two strongly irreducible Heegaard splittings of a graph manifold of suitably large genus are isotopic after at most one stabilization of the higher genus splitting.53 pages, 37 figuresGeometric Topology57M99text