The inspection of the networks and graphs through structural properties is a broad research topic with developing significance. One of the methods in analyzing structural properties is obtaining quantitative measures that encode data of the whole network by a real quantity. A large quantity of graph-associated numerical invariants has been used to examine the whole structure of networks. In this analysis, degree-related topological indices have a significant place in nanotechnology and theoretical chemistry. Thereby, the computation of indices is one of the successful branches of research. The noncomplete extended - sum of graphs is a famous general graph product. In this paper, we investigated the exact formulas of general zeroth-order Randi?, Randi?, and the first multiplicative Zagreb indices for of graphs.
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