2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139422For any finite abelian group $G$ and any subset $S\seq G$, we determine the connectivity of the addition Cayley graph induced by $S$ on $G$. Moreover, we show that if this graph is not complete, then it possesses a minimum vertex cut of a special, explicitly described form.CombinatoricsNumber Theory11B75;05C25;11P70text