2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68437We study s(k,n), the maximum size of A+A where A is a k-subset of [n]. A few known functions from additive number theory can be expressed via s(k,n). For example, our estimates of s(k,n) imply new bounds on the maximum size of quasi-Sidon sets, a problem posed by Erdos and Freud [J. Number Th.38 (1991) 196-205]. Also, applications to so-called edge-magic labellings of graphs are given.19 pages; 4 figuresCombinatoricsNumber Theory05C78; 11B75text