Title of article :
A Multiplicative Version of Forgotten Topological Index
Author/Authors :
Yousefi, Asghar Department of Mathematics - Science and Research Branch - Islamic Azad University , Iranmanesh , Ali Department of Mathematics -, Tarbiat Modares University , Dobrynin, Andrey A Sobolev Institute of Mathematics - Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia , Tehranian, Abolfazl Department of Mathematics - Science and Research Branch - Islamic Azad University
Abstract :
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.
Keywords :
Topological index , multiplicative forgotten topological index , graph operations , subdivision graphs , vertex-semitotal graphs
