مرور Volume 8, Issue 3 بر اساس عنوان

  • Graphs with smallest forgotten index 

    Gutman, Ivan؛ Ghalavand, Ali؛ Dehghan-Zadeh, T.؛ Ashrafi, Ali Reza (University of Kashan, 2017-09-01)
    The forgotten topological index of a molecular graph $G$ is defined as $F(G)=sum_{vin V(G)}d^{3}(v)$, where $d(u)$ denotes the degree of vertex $u$ in $G$. The first through the sixth smallest forgotten indices among all ...

  • On the first variable Zagreb index 

    Moradian, Khosro؛ Kazemi, Ramin؛ Behzadi, Mohammad (University of Kashan, 2017-09-01)
    ‎The first variable Zagreb index of graph $G$ is defined as‎ ‎begin{eqnarray*}‎ ‎M_{1,lambda}(G)=sum_{vin V(G)}d(v)^{2lambda}‎, ‎end{eqnarray*}‎ ‎where $lambda$ is a real number and $d(v)$ is the degree of‎ ‎vertex $v$‎. ...

  • On the second order first zagreb index 

    BASAVANAGOUD, B؛ Patil, Shreekant؛ Deng, H. Y. (University of Kashan, 2017-09-01)
    Inspired by the chemical applications of higher-order connectivity index (or Randic index), we consider here the higher-order first Zagreb index of a molecular graph. In this paper, we study the linear regression analysis ...

  • On the spectra of reduced distance matrix of the generalized Bethe trees 

    Heydari, Abbas (University of Kashan, 2017-09-01)
    Let G be a simple connected graph and {v_1,v_2,..., v_k} be the set of pendent (vertices of degree one) vertices of G. The reduced distance matrix of G is a square matrix whose (i,j)-entry is the topological distance between ...