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

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.