@article {
author = {Zuo, Y. and Tang, Y. and Deng, H. Y.},
title = {The Extremal Graphs for (Sum-) Balaban Index of Spiro and Polyphenyl Hexagonal Chains},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {9},
number = {4},
pages = {241-254},
year = {2018},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2018.143823.1381},
abstract = {As highly discriminant distance-based topological indices, the Balaban index and the sum-Balaban index of a graph $G$ are defined as $J(G)=\frac{m}{\mu+1}\sum\limits_{uv\in E} \frac{1}{\sqrt{D_{G}(u)D_{G}(v)}}$ and $SJ(G)=\frac{m}{\mu+1}\sum\limits_{uv\in E} \frac{1}{\sqrt{D_{G}(u)+D_{G}(v)}}$, respectively, where $D_{G}(u)=\sum\limits_{v\in V}d(u,v)$ is the distance sum of vertex $u$ in $G$, $m$ is the number of edges and $\mu$ is the cyclomatic number of $G$. They are useful distance-based descriptor in chemometrics. In this paper, we focus on the extremal graphs of spiro and polyphenyl hexagonal chains with respect to the Balaban index and the sum-Balaban index.},
keywords = {Balaban index,sum-Balaban index,spiro hexagonal chain, polyphenyl hexagonal chain},
url = {http://ijmc.kashanu.ac.ir/article_73763.html},
eprint = {http://ijmc.kashanu.ac.ir/article_73763_77c3dbe43fd89410f6e92ef2ba7b252a.pdf}
}