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Open Access ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667
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The Journal of Information and Optimization Sciences (JIOS) is a world leading journal publishing high quality, rigorously peer-reviewed original research in all mathematically-oriented theoretical and applied topics in information sciences, optimization sciences and related areas since 1980. Subjects include but are not limited to: • Information Sciences • Optimization Sciences • Control Theory • Operational Research • Decision Sciences • Information Theory • Information Technology • Computer Networks and Communications • Mathematical Programming • Modelling and Simulation • Database Management • Applications to Engineering Sciences • Applications to Technology

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Open Access Research Article

Some polynomials and degree-based topological indices of molecular graph and line graph of Titanium dioxide nanotubes

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pp. 95–106Vol. 45Issue 1January 2024DOI: 10.47974/JIOS-1284XML
Received:
08 Feb 2022
Accepted:
12 Jul 2022
Published Online:
29 Jan 2024
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1284
Pages:
95–106

Abstract

Graph polynomials based on distance and degree are helpful and necessary because they contain much information about topological indices. In this article, the general inverse sum indeg index and the generalized inverse sum indeg polynomials are calculated for the molecular graph and the line graph of the Titanium dioxide nanotubes. Then, with their help, some polynomials and some degree-based topological indices of the molecular graph and the line graph of Titanium dioxide nanotubes are obtained.

Keywords

Subject Classifications

(2010) 05C9005C0792E2082D8092E10

References

[1] Ahmad, A., Elahi, K., Hasni, R. & Nadeem, M. F., “Computing the degree based topological indices of line graph of benzene ring embedded in P-type-surface in 2D network”, Journal of Information and Optimization Sciences, 40:7, (2019), 1511-1528, DOI: 10.1080/02522667.2018.1552411.[2] Alameri, A., “Second Hyper Zagreb Index of Titanium dioxide Nanotubes and Their Applications”, IEEE Access, Vol. 9, (2021). [3] Ali, P., Kirmani, S. A. K., Al Rugaie, O., Azam, F., “Degree-based topological indices and polynomials of hyaluronic acid-curcumin conjugates’, Saudi Pharmaceutical Journal, (2020).[4] Bharali, A., Pegu, A., & Buragohain, J., Deka, B., “Generalized ISI index of certain families of nanostar dendrimers”, Journal of Interdisciplinary Mathematics, 24, (2021).[5] Evarestov, R. A., Zhukovskii, Y.F., Bandura, A.V., Piskunov, S., “Symmetry and models of single walled TiO2 {m, n] nanotubes with rectangular morphology”, Cent. Eur. J. Phys, 9 (2), (2011), 492–501. [6] Kulli, V. R., Pal, M., Samanta, S., Pal A., “Handbook of Research of Advanced Applications of Graph Theory in Modern Society”, Global, Hershey, (2020).[7] Malik, M.A., Imran, M., “On multiple Zagreb index of TiO2 nanotubes, “Acta Chim. Slov”, 62 (4), (2015) 973–976.[8] Milovanovic, I., Milovanovic, E., Matejic, M., “On some mathematical properties of Sombor indices”, Bull. Int. Math. Virtual Inst, 11, (2021), 341–353.[9] Raheem, A., Javaid, M., Teh, W. C., Wang, S., Liu, J., “M-polynomial method for topological indices of 2D-lattice of three-layered single-walled Titanium dioxide nanotubes”, Journal of Information and Optimization Sciences, 41:3, (2020) 743-753.[10]  Redzepovic, I., “Chemical applicability of Sombor indices”, J. Serb. Chem. Soc, 86, (2021), 445–457.[11] Todeschini, R., Consonni, V., “Molecular Descriptors for Chemoinformatics”, Wiley, VCH, Weinheim, (2009).[12] Vetrík, T., “Polynomials of degree-based indices for hexagonal nanotubes”, UPB Sci. Bull. Ser. B Chem. Mater. Sci, 81, (2019), 109–120.
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