ABSTRACT
Numbers of the form (π(π+1)(2π+1))/6 for all nβ₯1 are called square pyramidal numbers. Let G be a graph with p vertices and q edges. Let Ο : V(G) β{0, 1, 2β¦ ππ} where ππ is the ππ‘β square pyramidal number be an injective function. Define the function Ο*:E(G)β{1,5,14,.., ππ} such that Ο *(uv) = |Ο (u)- Ο (v)| for all edges uvΟ΅E(G). If Ο *(E(G)) is a sequence of distinct consecutive square pyramidal numbers {π1,π2, β¦, ππ}, then the function Ο is said to be square pyramidal graceful labeling and the graph which admits such a labeling is called a square pyramidal graceful graph. In this paper, some special results for square pyramidal graceful graphs is studied.
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