A note on zero divisor graph of amalgamated duplication of a ring along an ideal
Abstract Let R be a commutative ring and I be a non zero ideal of R Let R I be the subring of R x R consisting of the elements r r i for r R and i I In this paper we characterize all isomorphism classes of finite commutative rings R with identity and ideal I such that G R I is planar. We determine the number of vertices of G R I a necessary and sufficient condition for the graph G R I to be outerplanar and the domination number of G R I
AKCE Int. J. Graphs Comb.