On Wiener Index for Generalised Subdivision Neighbourhood Corona of Graphs

Vimal M., M. K. Pandit and Kalaimurugan G.

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-13

Abstract: Graph operations such as the corona product play a significant role in analysing and constructing complex networks. In this work, we examine the Wiener index within the framework of generalised subdivision graph operations. We establish precise bounds for the Wiener index of the generalised subdivision vertex neighbourhood corona for graphs with diameter at most 3 and the generalised subdivision edge neighbourhood corona for graphs with diameter at most 2. Moreover, we present a closed-form expression for the hyper-Wiener index. These results have practical relevance in areas such as network robustness, disease transmission modelling, molecular chemistry, computational biology and spectral graph theory, where distance-based metrics are essential.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:3325279

DOI: 10.1155/ijmm/3325279

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