• SUPER FIBONACCI GRACEFUL LABELING FOR (a, m)- SHELLGRAPH

Abstract

A(p,q)-graph G=(V, E) has  super Fibonacci graceful labeling if there exists an injective map f:V(G) →{F₀,F₁,F₂,…,F_q} where F_k is the k^th Fibonacci  number of the Fibonacci series such that its induced map f⁺: E(G) →{F₁,F₂,…,F_q} defined by f⁺(xy) =│f(x) – f(y)│for all edge xy in G, is injective. In this paper, the existence of super Fibonacci graceful labeling for the various types of (a, m) – shell graph and all the above (a, m) - shell graph merged with a fan.