The topological indices are useful part in the investigations of quantitative structure property relationship (QSPR) and quantitative structure activity relationship (QSAR) in mathematical chemistry. During this paper, the expressions for the Second Redefined Zagreb Index of the Generalized Transformation Graphs Gxy and its supplement graphs are acquired. Keywords: Second Redefined Zagreb index; Redefined Zagreb index; generalized transformation graphs Mathematics Subject Classification: 05C76, 05C07, 92E10
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