2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/134632For finite sets of integers $A_1, A_2 ... A_n$ we study the cardinality of the $n$-fold sumset $A_1+... +A_n$ compared to those of $n-1$-fold sumsets $A_1+... +A_{i-1}+A_{i+1}+... A_n$. We prove a superadditivity and a submultiplicativity property for these quantities. We also examine the case when the addition of elements is restricted to an addition graph between the sets.9 pagesCombinatoricsCommutative Algebra11B50; 11B75; 11P70text