Key points are not available for this paper at this time.
Let s be a positive integer. Our goal is to find all finite abelian groups G that contain a 2-subset A for which the undirected Cayley graph (G, A) has diameter at most s. We provide a complete answer when G is cyclic, and a conjecture and some partial answers when G is noncyclic.
Bajnok et al. (Thu,) studied this question.