AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH
G. Nivetha, T. Tharma raj, A. Gowri · DergiPark (Istanbul University) · 2025
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 $f:E(G)\rightarrow\{1,2,3,...,q\}$ such that the induced vertex mapping $f^*:V(G)\rightarrow N$, where N is a natural number by $f^*(r)=\sum_k f(e_k)$ taken over all edges $e_k$ 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.