Measuring peripherality extent in chemical graphs via graph operations

The Mostar index is a recently-introduced molecular structure descriptor used for measuring the peripherality and distance-non-balancedness extent in molecular graphs. In this paper, we present exact formulae or sharp upper bounds on the Mostar index of some families of graph operations. Using the obtained results, the peripherality extent of some chemical graphs and nanostructures are measured and a number of results related to the Mostar index of graph operations reported in (Int. J. Quantum. Chem. 2021, 121(15), e26674) and (TWMS J. App. and Eng. Math. 2021, 11(2), 587) are improved or generalized.