ABSTRACT
Let G = (V,E) be a graph. An open support of a graph G under addition is defined by and it is denoted by supp Similarly an open support of a graph G under multiplication is defined by and it is denoted by mult A closed support G of a graph under addition is defined by 𝑣∈(𝐺) 𝑠𝑢𝑝𝑝[𝑣] and it is denoted by 𝑠𝑢𝑝𝑝[𝐺]. A closed support of a graph G under multiplication is defined by and it is denoted by mult In this article, the authors studied these four invariants of bistar by duplicating all the vertices, duplicating the central edge, duplicating all the vertices by edges, duplicating all the edges by vertices under addition and multiplication.
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