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On Zagreb-type molecular descriptors of vanadium carbide and their applications

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Abstract

Vanadium is naturally occurring fundamental element that has immense consumptions in industry and biological field. Vanadium (V) has different mineral and fossil fuel forms, most common are sandstones crude oil and coal. It is a d-transition metal, found in VA of the periodic table. Transition metal has characteristics to espouse multiple oxidation states \(+2, +3, +4, +5\) of vanadium are useful. The ground-state electronic configuration of V is \([Ar]\,\,\ 3d^{3},\,\,\ 4s^{2}\) that contain 5 valance electrons. Vanadium element converts into ions, when lose valance electron so, it’s has redox property. Chemical graph theory plays an important role in modeling and designing any chemical structure. The topological indices are the numerical invariants of a molecular graph and are very useful for predicting their physical properties. In this paper, we study the chemical graph of crystal structure of Vanadium Carbide \(V_{2}C\). Also, we compute degree-based molecular descriptors (topological indices), namely first and second Zagreb index, first and second Zagreb coindices, Hyper-Zagreb index, first and second multiple Zagreb index and Redefined Zagreb index.

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Acknowledgements

The authors would like to thanks the two anonymous reviewers for their very constructive comments that helped us to enhance the quality of this manuscript.

Funding

The research was supported by the National Natural Science Foundation of China (Grant Nos. 11971142, 11871202, 61673169, 11701176, 11626101, 11601485).

Author information

Authors and Affiliations

  1. Department of Mathematics, Huzhou University, Huzhou, 313000, People’s Republic of China

    Yu-Ming Chu

  2. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, 410114, People’s Republic of China

    Yu-Ming Chu

  3. Department of Computer Science and Engineering, Air University Multan Campus, Multan, Pakistan

    Asma Khalid & Saiqa Feroz Khan

  4. Department of Mathematics, COMSATS University, Lahore Campus, Islamabad, Pakistan

    Muhammad Kamran Siddiqui

  5. College of Chemistry, School of Chemical Engineering and Energy, Zhengzhou University, Zhengzhou, 450001, China

    Mehwish Hussain Muhammad

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  1. Yu-Ming Chu
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  2. Asma Khalid
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  3. Saiqa Feroz Khan
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  4. Muhammad Kamran Siddiqui
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Correspondence to Muhammad Kamran Siddiqui.

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Chu, YM., Khalid, A., Khan, S.F. et al. On Zagreb-type molecular descriptors of vanadium carbide and their applications. Eur. Phys. J. Plus 135, 832 (2020). https://doi.org/10.1140/epjp/s13360-020-00844-4

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00844-4

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