**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.

## Support the magazine and subscribe to the content

This is premium stuff. Subscribe to read the entire article.