Difference divisor graph of the finite group

Difference divisor graph of the finite group

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Let (Zn, +) be a finite group of integers modulo n and Dn a non-empty subset of Zn containing proper TV Mounting Kit devisors of n.In this paper, we have introduced the difference divisor graph Diff (Zn, Dn) associated with Zn whose vertices coincide with Zn such that two distinct vertices are adjacent if and only if either a-b belongs to Dn or b-a belongs to Dn.We have investigated its algebraic Platter and graph theoretic properties.

Further, we have proved that the difference divisor graph Diff (Zn, Dn) is not a Cayley graph.