2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79327Two knots in three-space are S-equivalent if they are indistinguishable by Seifert matrices. We show that S-equivalence is generated by the doubled-delta move on knot diagrams. It follows as a corollary that a knot has trivial Alexander polynomial if and only if it can be undone by doubled-delta moves.8 pages, 7 figuresGeometric Topology57M25A move on diagrams that generates S-equivalence of knotstext