Abstract
The unit graph of a ring [Formula: see text] is the simple graph, denoted by [Formula: see text], whose vertex set is [Formula: see text], and in which two distinct vertices [Formula: see text] and [Formula: see text] are adjacent if and only if [Formula: see text] is a unit of [Formula: see text]. In this paper, we completely determine the domination number of [Formula: see text] when [Formula: see text] has exactly three prime divisors.
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