Super Edge Magic Graceful Labeling of Generalized Petersen Graphs

Abstract A ( p , q ) graph G is edge magic graceful if there exists a bijection f : V ( G ) ∪ E ( G ) → { 1 , 2 , … , p + q } such that | f ( u ) + f ( v ) − f ( u v ) | = k , a constant for any edge uv of G. G is said to be super edge magic graceful if f ( V ( G ) ) = { 1 , 2 , … , p } . This paper considers such a labeling applied to generalized Petersen graphs.