• Title of article

    On the first extended zeroth-order connectivity index of trees

  • Author/Authors

    Wang، S نويسنده Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803-4918, USA Wang, S , Zhou، B نويسنده 2Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China Zhou, B

  • Issue Information
    فصلنامه با شماره پیاپی 0 سال 2014
  • Pages
    7
  • From page
    213
  • To page
    219
  • Abstract
    The first extended zeroth-order connectivity index of a graph G is defined as 0 1/2 1 ( ) ( ) , v v V G ? G D? ? ? ? where V (G) is the vertex set of G, and v D is the sum of degrees of neighbors of vertex v in G. We give a sharp lower bound for the first extended zeroth-order connectivity index of trees with given numbers of vertices and pendant vertices, and characterize the extremal trees. We also determine the n-vertex trees with the first three smallest first extended zeroth-order connectivity indices.
  • Journal title
    Iranian Journal of Science and Technology Transaction A: Science
  • Serial Year
    2014
  • Journal title
    Iranian Journal of Science and Technology Transaction A: Science
  • Record number

    1501712