- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 1
- On topological properties of some convex polytopes by using line operator on their subdivisions
On topological properties of some convex polytopes by using line operator on their subdivisions
Authors : Fatima Asif, Zohaib Zahid, Sohail Zafar, Mohammad R. Farahani, Wei Gao
Pages : 136-146
Doi:10.15672/HJMS.2019.671
View : 9 | Download : 3
Publication Date : 2020-02-06
Article Type : Research
Abstract :In this paper, we give theoretical results for some topological indices such as Zagreb indices $M_{1}(G)$, $M_{2}(G)$, $M_{3}(G)$, $R(G)$, $M_{1}(\overline{G})$, $M_{2}(\overline{G})$, Zagreb coindices $\overline{M_{1}}(G)$, $\overline{M_{2}}(G)$, $\overline{M_{2}}(\overline{G})$ hyper-Zagreb index $HM(G)$,atom-bond connectivity index $ABC(G)$, sum connectivity index $\chi(G)$ and geometric-arithmetic connectivity index $GA(G)$, by considering $G$ as line graph of subdivision of some convex polytopes and $\overline{G}$ denotes its complement.Keywords : Topological indices, line graph, subdivision, convex polytopes