University of KashanMathematics Interdisciplinary Research2538-36394220191201A Multiplicative Version of Forgotten Topological Index19321110200010.22052/mir.2019.176557.1126ENAsgharYousefiDepartment of Mathematics, Science and Research Branch, Islamic Azad University,
Tehran, IranAliIranmaneshDepartment of Mathematics, Tarbiat Modares University,
Tehran, IranAndreyDobryninSobolev Institute of Mathematics,
Siberian Branch of the Russian Academy of Sciences,
Novosibirsk, RussiaAbolfazlTehranianDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranJournal Article20190318In 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.https://mir.kashanu.ac.ir/article_102000_e2b2c1124183c3b89ccf0bc81f103cf6.pdf