Abstract :
In this paper, we investigate representations of sets of integers as subset sums of other sets of minimal size, achieving results on the nature of the representing set as well as providing several reformulations of the problem. We apply one of these reformulations to prove a conjecture and extend a theorem of David Moulton concerning the case when the set to be represented consists of a geometric sequence. Finally, we provide a number of interesting questions for possible future research in this relatively new area.
