Computing two types of geometric-arithmetic indices of some benzenoid graphs
نویسندگان
1
2 Department of Mathematics, Payame Noor Universtiy, PO BOX 19395–3697 Tehran, I. R. Iran
doi
10.22061/jmns.2015.507چکیده
The geometric-arithmetic index is a topological index was defined as $GA(G)=\sum{uv\in E(G)}\frac{2\sqrt{d_ud_v}}{d_u+d_v}}$, where du denotes the degree of vertex u in G. By replacing instead $\delta_u=\sum_{v\cong u} d_v$ of du in GA(G), we have a new version of this index that defined as $GA(G)=\sum{uv\in E(G)}\frac{2\sqrt{\delta_u\delta_v}}{\delta_u+\delta_v}}$. In this paper, we present exact formulas of these indices for some benzenoid graphs.
