ABSTRACT
Let G be a graph with p vertices and q edges. The nth centered triangular number is denoted by 𝑀𝑛, where 𝑀𝑛 = 1/2 (3n2 – 3n + 2). A centered triangular sum labeling of a graph G is a one-to-one function : V (G) → N ∪{0} that induces a bijection f *: E(G) →{𝑀1,𝑀2,…𝑀𝑞} of the edges of G defined by f * (uv) = f(u) + f(v), for all e = uv ε E(G). The graph which admits such labeling is called a centered triangular sum graph. In this article, the centered triangular sum labeling of union of some graphs are studied.
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