**ABSTRACT**

Let G be a simple graph. supp(v) is defined by Σ𝑢∈𝑁(𝑣)𝑑𝑒𝑔𝑢. supp(G) is defined by Σ𝑣∈𝑉(𝐺) 𝑠𝑢𝑝𝑝(𝑣). 𝑠𝑢𝑝𝑝[𝑣] is defined by Σ𝑢∈𝑁[𝑣]𝑑𝑒𝑔𝑢. Supp[G] is defined by Σ𝑣∈𝑉[𝐺]𝑠𝑢𝑝𝑝[𝑣]. mult(𝑣) is defined by Π𝑢∈𝑁(𝑣)𝑑𝑒𝑔𝑢. and mult(𝐺) is defined by Π𝑣∈𝑉(𝐺)𝑚𝑢𝑙𝑡(𝑣). 𝑚𝑢𝑙𝑡 [𝑣] is defined by Π𝑢∈𝑁[𝑣]𝑑𝑒𝑔𝑢. 𝑚𝑢𝑙𝑡 [𝐺] is defined 𝑏𝑦 Π𝑣∈𝑉[𝐺]𝑚𝑢𝑙𝑡[𝑣]. In this paper, open and closed support of some of star related graphs under addition and multiplication are studied.

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