### Square Sum And Square Difference Labelings Of Semitotal-block Graph For Some Class Of Graphs

#### Abstract

A graph G is said to be square sum and square difference labeling, if there exists a bijection f from V (G) to {1, 2, 3, ..., (p − 1)} which induces the injective function f ∗ from E(G) to N, defined by f ∗(uv) = f(u)2 + f(v)2 and f ∗(uv) = f(u)2 − f(v)2 respectively, for each uv ∈ E(G) and the resulting edges are distinctly labeled. G is said to be square sum and square difference graph, if it asdmits a square sum and square difference labeling respectively. The present work investigates, square sum and square difference labeling

of semitotal-block graph for some class of graphs which are proved using number theory concept.

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DOI: http://dx.doi.org/10.23755/rm.v47i0.804

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