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In this paper, we discuss spectrum and energy of Arithmetic function signed graphs with respect to an arithmetical function and present some results. [ABSTRACT FROM AUTHOR]

Let h be an arithmetical function. We define arithmetic function graph Gh(G) of a given finite group G with respect to h, as a graph with vertex set V (Gh(G)) = G and any two distinct vertices a and b are adjacent in Gh(G) if and only if h(|a||b|) = h(|a|)h(|b|). It is observed that the order prime graph of a finite group is nothing but the arithmetic function graph with respect to the Euler's ɸ-function. In this paper, we investigate some results regrading arithmetic function graphs of finite groups. [ABSTRACT FROM AUTHOR]