• Title of article

    Degree distance and Gutman index of increasing trees

  • Author/Authors

    Kazemi، Ramin نويسنده Department of statistics,Imam Khomeini International University,Qazvin,Iran , , Khaleghi Meimondari، Leila نويسنده Department of Statistics,Imam Khomeini International University,Qazvin,Iran ,

  • Issue Information
    فصلنامه با شماره پیاپی سال 2016
  • Pages
    9
  • From page
    23
  • To page
    31
  • Abstract
    The Gutman index and degree distance of a connected graph GG are defined as‎ ‎‎‎Gut(G)=∑{u,v}⊆V(G)d(u)d(v)dG(u,v)‎,‎ ‎ ‎and‎ ‎ ‎‎DD(G)=∑{u,v}⊆V(G)(d(u)+d(v))dG(u,v)‎,‎ ‎ ‎respectively‎, ‎where‎ ‎d(u) is the degree of vertex uu and dG(u,v) is the distance between vertices u and v‎. ‎In this paper‎, ‎through a recurrence equation for the Wiener index‎, ‎we study the first two‎ ‎moments of the Gutman index and degree distance of increasing‎ ‎trees‎. ‎
  • Journal title
    Transactions on Combinatorics
  • Serial Year
    2016
  • Journal title
    Transactions on Combinatorics
  • Record number

    2397995