Super Edge Magic Graceful Labeling of Generalized Petersen Graphs

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(uv)|=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.