Abstract
The first reformulated Zagreb index EM<sub>1</sub>(G) of a simple graph G is defined as the sum of the terms (d<sub>u</sub>+d<sub>v</sub><span style="font-family: symbol;">-</span>2)<sup>2</sup> over all edges uv of G. In 2017, Sarala et al. introduced four new operations (F-product) of graphs. In this paper, we study the first reformulated Zagreb index for the F-product of some special well-known graphs such as subdivision and total graph.
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