On topological properties of some convex polytopes by using line operator on their subdivisions

Authors : Fatima ASİF, Zohaib ZAHİD, Sohail ZAFAR, Mohammad R. FARAHANİ, Wei GAO

Pages : 136-146

Doi:10.15672/HJMS.2019.671

View : 14 | Download : 4

Publication Date : 2020-02-06

Article Type : Research Paper

Abstract :In this paper, we give theoretical results for some topological indices such as Zagreb indices $M_{1}insert ignore into journalissuearticles values(G);$, $M_{2}insert ignore into journalissuearticles values(G);$, $M_{3}insert ignore into journalissuearticles values(G);$, $Rinsert ignore into journalissuearticles values(G);$, $M_{1}insert ignore into journalissuearticles values(\overline{G});$, $M_{2}insert ignore into journalissuearticles values(\overline{G});$, Zagreb coindices $\overline{M_{1}}insert ignore into journalissuearticles values(G);$, $\overline{M_{2}}insert ignore into journalissuearticles values(G);$, $\overline{M_{2}}insert ignore into journalissuearticles values(\overline{G});$ hyper-Zagreb index $HMinsert ignore into journalissuearticles values(G);$,atom-bond connectivity index $ABCinsert ignore into journalissuearticles values(G);$, sum connectivity index $\chiinsert ignore into journalissuearticles values(G);$ and geometric-arithmetic connectivity index $GAinsert ignore into journalissuearticles values(G);$, 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