Computation of Mostar index for some graph operations

Abstract

Very recently, a novel bond‐additive topological descriptor named as the Mostar index has been proposed as a measure of peripherality in networks and graphs. In this article, we compute the Mostar index of generalized Hierarchical product, lexicographic product, Cartesian product, corona product, join, subdivision vertex‐edge join and Indu–Bala products of graphs and apply these results to determine the Mostar index of some types of nanostructures and chemical graphs. As an application, we give the explicit expressions for the Mostar index of various nanostructures and chemical graphs.

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“…Niko [28] studied the Mostan index of weighted graphs and applied their results to benzenoid systems. Shehaz et al [29] studied the Mostar index of several graph operations including lexicographic, Cartesian, corona product and more. Doslic et al [30] studied the extremal values of the Mostar index and obtained extremal trees.…”

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