### Inverse Closed Domination on the Unitary Cayley Graphs

#### Abstract

Let be a ﬁnite group and *e *be its identity. Let *S *be a generating set of *G* such that and for all . Then the Cayley Graph is deﬁned by , where and denoted by . The *Unitary Cayley Graph, *is deﬁned by the additive group of the ring of integers modulo *n *and the multiplicative group of of its units. If we represent the elements ofby the integers, then it is known that . So has a vertex set and the edge set

In this paper, the domination in graph is extended to a Unitary Cayley graphs, in particular the inverse closed domination on the Unitary Cayley Graphs*.*

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