In this paper, we give theoretical results for some topological indices such as Zagreb indiceshyper-Zagreb index HM (G), atom-bond connectivity index ABC(G), sum connectivity index χ(G) and geometric-arithmetic connectivity index GA(G), by considering G as line graph of subdivision of some convex polytopes and G denotes its complement.
In this paper, we will compute Fourth atom-bond connectivity index ABC 4 (G) and Fifth geometric-arithmetic connectivity index GA 5 (G), by considering G as para-line graph of some convex polytopes.
A topological index is a numerical quantity associated with the molecular structure of a chemical compound. This number remains fixed with respect to the symmetry of a molecular graph. Diverse research studies have shown that the topological indices of symmetrical graphs are interrelated with several physiochemical properties such as boiling point, density, and heat of formation. Peripherality is also an important tool to study topological aspects of molecular graphs. Recently, a bond-additive topological index called the Mostar index that measures the peripherality of a graph is investigated which attained wide attention of researchers. In this article, we compute the Mostar index of cycle-related structures such as the Jahangir graph and the cycle graph with chord.
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