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On mixed metric dimension of polycyclic aromatic hydrocarbon networks

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Abstract

Polycyclic aromatic hydrocarbons (PAHs) are a class of persistent organic contaminants that contain two or more aromatic rings. PAHs are commonly found in soil, water, and air, and result in mainly incomplete combustion of carbonaceous products. PAHs have a wide range of applications, such as interstellar species, optical and electrical materials, pharmaceutical industry, and other functional materials in petrochemistry. The chemical graph theory helps in understanding the complex structure of molecules. The parameters of resolvability for graph \(\Gamma =(V,E)\) are a relatively novel advanced area where the entire structure is constructed so that each vertex (atom) or/and edge (bond) represents a unique position. In this paper, we study the resolvability parameter, i.e., mixed metric dimension for the complex molecular structure of PAHs. We also prove that the mixed metric dimension is unbounded and is not constant for PAHs.

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Acknowledgements

We would like to express our sincere gratitude to the referees for their careful reading of this manuscript and for all of their insightful comments/criticism, which have resulted in several major improvements to this manuscript. We also want to express our gratitude to Mr. Yogesh Singh (18dec005) for his help with the arrangement of the chemical data used in this manuscript.

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Correspondence to Vijay Kumar Bhat.

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Sharma, S.K., Bhat, V.K., Raza, H. et al. On mixed metric dimension of polycyclic aromatic hydrocarbon networks. Chem. Pap. 76, 4115–4128 (2022). https://doi.org/10.1007/s11696-022-02151-x

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  • DOI: https://doi.org/10.1007/s11696-022-02151-x

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