%0 Journal Article %T Difference divisor graph of the finite group %J International Journal of Research in Industrial Engineering %I Ayandegan Institute of Higher Education %Z 2783-1337 %A V M S S Kiran Kumar, R. %A Chalapathi, T. %D 2018 %\ 09/01/2018 %V 7 %N 2 %P 235-242 %! Difference divisor graph of the finite group %K Divisor graph %K Difference divisor graph %K Hamilton cycle %K GCD-Graph %K Cayley graph %R 10.22105/riej.2018.133136.1042 %X 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 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 have proved that the difference divisor graph Diff (Zn, Dn) is not a Cayley graph. %U https://www.riejournal.com/article_69250_1d00716160a19ba1d9e33ac758593c00.pdf