An adjacent edge graceful labeling of pentagonal snake graph

Abstract

Let G be a graph with p vertices and q edges. The graph G is said to be an adjacent edge graceful graph if there exists bijection mapping f : E(G) → {1, 2, 3, ..., q} such that the induced vertex mapping f*: V (G) → N, where N is a natural number by f*(r) = Σk f(ek) taken over all edges ek incident to adjacent vertices of r is an injection. In this article we will go to prove the Pentagonal snake, Alternative Pentagonal Snake, Double Pentagonal snake and Alternative Double Pentagonal Snake are Adjacent Edge Graceful graph.