Chemical applicability of Gourava and hyper-Gourava indices
https://doi.org/10.17586/2220-8054-2021-12-2-142-150
Аннотация
Topological indices are extensively used as molecular descriptors in building Quantitative Structure-Activity Relationship (QSAR), Quantitative Structure-Property Relationship (QSPR) and Quantitative Structure-Toxicity Relationship (QSTR). In this paper, Gourava and hyper-Gourava indices are tested with physico-chemical properties of octane isomers such as entropy, acentric factor and DHVAP using linear regression models. The first Gourava index highly correlates with entropy (coefficient of correlation 0.9644924) and the second Gourava index highly correlates with acentric factor (coefficient of correlation 0.962243). Further, Gourava and hyper-Gourava indices are obtained for the line graph of subdivision graph of 2D-lattice, nanotube and nanotorus of T UC4C8 [p, q].
Ключевые слова
topological indices,
Gourava indices,
hyper-Gourava indices,
2D-lattice of TUC4C8 [p,
q],
T UC4C8 [p,
q] nanotube,
T UC4C8 [p,
q] nanotorus
Об авторах
B. Basavanagoud
Karnatak University
Индия
Индия
Department of Mathematics
Dharwad – 580 003, Karnataka
Shruti Policepatil
Karnatak University
Индия
Индия
Department of Mathematics
Dharwad – 580 003, Karnataka
Список литературы
1. Harary F. Graph Theory, Addison-Wesely, Reading Mass, 1969.
2. Kulli V.R. College Graph Theory, Vishwa Int. Publ., Gulbarga, India, 2012.
3. Gutman I., Trinajstic N. Graph theory and molecular orbitals, Total ´ π-electron energy of alternant hydrocarbons. Chem. Phys. Lett., 1972, 17 (4), P. 535–538.
4. Gutman I., Rusˇciˇ c B., Trinajsti ´ c N., Wilcox C.F. Graph theory and molecular orbitals. XII. Acyclic polyenes. ´ J. Chem. Phys., 1975, 62, P. 3399–3405.
5. Furtula B., Gutman I. A forgotten topological index. J. Math. Chem., 2015, 53 (4), P. 1184–1190.
6. Kulli V.R. The Gourava indices and coindices of graphs. Annals of Pure and Applied Mathematics, 2017, 14 (1), P. 33–38.
7. Kulli V.R. On hyper-Gourava indices and coindices. Int. Journal of Mathematical Archieve, 2017, 8 (12), P. 116–120.
8. Mondal S., Bhosale A., De N., Pal A. Topological properties of some nanostructures. Nanosystems: Physics, Chemistry, Mathematics, 2020, 11 (1), P. 14–24.
9. Hosamani S.M. Computing Sanskruti index of certain nanostructures. J. Appl. Math. Comput., 2017, 54, P. 425–433.
10. Nadeem M.F., Zafar S., Zahid Z., On certain topological indices of the line graph of subdivision graphs. Appl. Math. Comput., 2015, 271, P. 790–794.
11. Nadeem M.F., Zafar S., Zahid Z. On topological properties of the line graph of subdivision graphs of certain nanostructures. Appl. Math. Comput., 2016, 273, P. 125–130.
12. R Core Team. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria , 2016, URL: https://www.R-project.org/.
13. Basavanagoud B., Jakkannavar P. Kulli-Basava indices of graphs. Int. J. Appl. Eng. Res., 2019, 14 (1), P. 325–342.
14. Basavanagoud B., Barangi A.P., Hosamani S.M. First neighbourhood Zagreb index of some nanostructures. Proc. Inst. Appl. Math., 2018, 7 (2), P. 178–193.
15. Basavanagoud B., Desai V., Patil S. (β, α) connectivity index of graphs. Appl. Math. Nonlinear Sci., 2017, 2 (1), P. 21–30.
Рецензия
Для цитирования:
Basavanagoud B., Policepatil Sh. Chemical applicability of Gourava and hyper-Gourava indices. Наносистемы: физика, химия, математика. 2021;12(2):142-151. https://doi.org/10.17586/2220-8054-2021-12-2-142-150
For citation:
Basavanagoud B., Policepatil Sh. Chemical applicability of Gourava and hyper-Gourava indices. Nanosystems: Physics, Chemistry, Mathematics. 2021;12(2):142-151. https://doi.org/10.17586/2220-8054-2021-12-2-142-150
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