Volume 121, Issue 15 e26674
FULL PAPER

Computation of Mostar index for some graph operations

Shehnaz Akhter

Shehnaz Akhter

School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan

Contribution: Methodology, Validation, Writing - original draft

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Zahid Iqbal

Zahid Iqbal

School of Natural Sciences, National University of Sciences and Technology, Islamabad, Pakistan

Contribution: Methodology, Validation, Writing - original draft

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Adnan Aslam

Corresponding Author

Adnan Aslam

Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore, Pakistan

Correspondence

Adnan Aslam, Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore, Pakistan (RCET), Pakistan.

Email: [email protected]

Contribution: Conceptualization, ​Investigation, Methodology, Writing - review & editing

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Wei Gao

Wei Gao

School of Information Science and Technology, Yunnan Normal University, Kunming, China

Contribution: Conceptualization, Validation, Writing - review & editing

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First published: 24 April 2021
Citations: 7

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.

CONFLICT OF INTEREST

The authors declare that there is no conflict of interests regarding the publication of this paper.

DATA AVAILABILITY STATEMENT

Data sharing not applicable - no new data generated, or the article describes entirely theoretical research.

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