ON THE BASIC PROPERTIES OF THE COMPRESSED ANNIHILATOR GRAPH OF Zn

For a commutative ring R, the compressed annihilator graph AGE(R) is defined by, taking the equivalence classes of zero divisors of R as the vertex set and two distinct vertices [a] and [b] are adjacent if and only if ann(a) ∪ ann(b) ⊂ ann(ab). In this paper, we discuss some of the basic properties such as degree of the vertices, Eulerian, regularity, domination number and planarity of AGE(Zn), where Zn is the ring of integer modulo n.