2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210576A new bound for the rank of the intersection of finitely generated subgroups of a free group is given, formulated in topological terms, and very much in the spirit of Stallings. The bound is a contribution to (although unfortunately not a solution of) the strengthened Hanna Neumann conjecture.J. Group Theory (to appear)Group TheoryGraphs, free groups and the Hanna Neumann conjecturetext