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 devisors of n.In this paper, we have introduced the difference Internal Hard Drives 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 and graph theoretic properties.Further, we Carving Boards have proved that the difference divisor graph Diff (Zn, Dn) is not a Cayley graph.