• 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

  • Pages
    19
  • From page
    193
  • To page
    211
  • 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
  • Serial Year
    2019
  • Record number

    2494453