Abstract
Let G be a finite Abelian group and S be a subset of G. The Cayley sum graph Cay+(G, S) of G with respect to S is a graph whose vertex set is G and two vertices g and h are joined by an edge if and only if g + h є S. In this paper, we prove some basic facts on the domination and total domination numbers of Cayley sum graphs. Then, we find the sharp bounds for domination number of Cay+(Zn, S), where S = {1, 2,..., k} and , k are positive integers with 1 ≤ k ≤ (n - 1)/2.
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