Author/Authors :
Eliasi، Mehdi نويسنده Faculty of Khansar,Department of Mathematics and Computer Science, Faculty of Khansar, University of Isfahan, P.O.Box 87931133111,
Department of Mathematics and Computer Science, Faculty of Khansar, Department of Mathematics and Computer Science,iversity of Isfahan,Khansar,Iran , , Ghalavand، Ali نويسنده Faculty of Khansar,Department of Mathematics and Computer Science, Faculty of Khansar, University of Isfahan, P.O.Box 87931133111,
Department of
Mathematics and Computer Science,University of Isfahan,Khansar,Iran ,
Abstract :
For a graph $G$ with edge set $E(G)$, the multiplicative second Zagreb index of $G$ is defined as $Pi_2(G)=Pi_{uvin E(G)}[d_G(u)d_G(v)]$, where $d_G(v)$ is the degree of vertex $v$ in $G$. In this paper, we identify the eighth class of trees, with the first through eighth smallest multiplicative second Zagreb indeces among all trees of order $n geq 14$.