University of Kashan Mathematics Interdisciplinary Research 2538-3639 4 2 2019 12 01 A Multiplicative Version of Forgotten Topological Index 193 211 102000 10.22052/mir.2019.176557.1126 EN Asghar Yousefi ‎Department of Mathematics‎, ‎Science and Research Branch, ‎Islamic Azad University, ‎Tehran‎, ‎Iran Ali Iranmanesh ‎Department of Mathematics‎, Tarbiat Modares University, ‎Tehran‎, ‎Iran Andrey Dobrynin ‎Sobolev Institute of Mathematics, ‎Siberian Branch of the Russian Academy of Sciences, ‎Novosibirsk‎, ‎Russia Abolfazl Tehranian ‎Department of Mathematics‎, ‎Science and Research Branch, ‎Islamic Azad University, ‎Tehran‎, ‎Iran Journal Article 2019 03 18 In this paper, we present upper bounds for the multiplicative forgotten topological index of several graph operations such as sum, Cartesian product, corona product, composition, strong product, disjunction and symmetric difference in terms of the F–index and the first Zagreb index of their components. Also, we give explicit formulas for this new graph invariant under two graph operations such as union and Tensor product. Moreover, we obtain the expressions for this new graph invariant of subdivision graphs and vertex – semitotal graphs. Finally, we compare the discriminating ability of indices. topological index multiplicative forgotten topological index Graph operations subdivision graphs vertex – semitotal graphs https://mir.kashanu.ac.ir/article_102000_e2b2c1124183c3b89ccf0bc81f103cf6.pdf