Keywords:-
Keywords:
edge version of Sombor index, edge version of modified Sombor index, edge version of Nirmala index, nanotube, nanotori.
Article Content:-
Abstract
Chemical Graph Theory is a branch of Mathematical Chemistry whose focus of interest is to finding topological indices of chemical graphs which correlate well with chemical properties of the chemical molecules. In this study, we define the edge version of Sombor index, the edge version of modified Sombor index and, the edge version of Nirmala index of a graph and compute exact formulas for certain families of nanotubes and nanotori.
References:-
References
1. V.R.Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India (2012).
2. V.R.Kulli, Graph indices, in Hand Book of Research on Advanced Applications of Application Graph Theory in Modern Society, M. Pal. S. Samanta and A. Pal, (eds.) IGI Global, USA (2020) 66-91.
3. R.Todeschini and V. Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, (2009).
4. V.R.Kulli, Edge version of F-index, general sum connectivity index of certain nanotubes, Annals of Pure and Applied Mathematics, 14(3) (2017) 449-455.
5. V.R Kulli, Edge version of general reformulated Zagreb index of certain nanotubes and nanotori, Journal of Computer and Mathematical Sciences, 8(11) (2017) 650-657.
6. V.R Kulli, Edge version of inverse sum indeg index of certain nanotubes and nanotori, International Research Journal of Pure Algebra, 7(11) (2017) 855-858.
7. M.N. Husin, R. Hasni, M. Imran and H. Kamarulhaili, The edge version of geometric-arithmetic index of nanotubes and nanotori, Optoelectron Adv. Mater.-Rapid Comm. 9(9-10) (2015) 1292-1300.
8. V.R.Kulli and I.Gutman, Revan Sombor index, Journal of Mathematics and Informatics, 22 (2022) 23-27.
9. V.R.Kulli, N.Harish, B.Chaluvaraju and I.Gutman, Mathematical Properties of KG Sombor index, Blletin of the International Mathematical Virtual Institute, 12(2) (2022) 379-386.
10. V.R.Kulli, N.Harish, and B.Chaluvaraju, Sombor leap indices of some chemical drugs, RESEARCH REVIEW International Journal of Multidisciplinary, 7(10) (2022) 158-166.
11. V.R.Kulli, J.A.Mendez-Bermudez, J.M.Rodriguez and J.M.Sigarreta, Revan Sombor indices: Analytical and statistical study, on random graphs, Mathematical Boisciences and Engineering, 20(2) (2022) 1801-1819.
12. H.R.Manjunatha, V.R.Kulli and N.D.Soner, The HDR Sombor index, International Journal of Mathematics Trends and Technology, 68(4) (2022) 1-6.
13. V.R.Kulli, Computation of reduced Kulli-Gutman Sombor index of certain networks, Journal of Mathematics and Informatics, 23 (2022) 1-5.
14. V.R.Kulli and I.Gutman, Sombor and KG Sombor indices of benzenoid systems and phenylenes, Annals of Pure and Applied Mathematics, 26(2) (2022) 49-53.
15. V.R.Kulli, New irregularity Nirmala indices of some chemical structures, International Journal of Engineering Sciences and Research Technology, 10(8) (2021) 33-42.
16. I.Gutman, V.R.Kulli and I.Redzepovic, Nirmala index of Kragujevac trees, International Journal of Mathematics Trends and Technology, 67(6) (2021) 44-49.
17. V.R.Kulli, B.Chaluvaraju and T.V.Asha, Computation of Nirmala indices of some chemical networks, Journal of Ultra Scientists of Physical Sciences-A, 33(4) (2021) 30-41.
18. A.H.Karim, N.E.Arif and A.M.Ramdan, The M-polynomial and Nirmala index of certain composite graphs, Tikrit Journal of Pure Science, 27(3) (2022) 92-101.
19. M.R.Nandargi and V.R.Kulli, The (a, b)-Nirmala index, International Journal of Engineering Sciences and Research Technology, 11(2) (2022) 37-42.
20. V.R.Kulli, Banhatti Nirmala index of certain chemical networks, International Journal of Mathematics Trends and Technology, 68(4) (2022) 12-17.
21. V.R.Kulli, HDR Nirmala index, International Journal of Mathematics and Computer Research, 10(7) (2022) 2796-2800.
22. V.R.Kulli, Status Nirmala index and its polynomial of a graph, Annals of Pure and Applied Mathematics, 25(2) (2022) 85-90.
23. N.K.Raut and G.K.Sanap, On Nirmala indices of Carbon nanocane C4[2], IOSR Journal of Mathematics, 18(4) Ser. II (2022) 10-15.
24. V.R.Kulli, Revan Nirmala index, Annals of Pure and Applied Mathematics, 26(1) (2022) 7-13.
2. V.R.Kulli, Graph indices, in Hand Book of Research on Advanced Applications of Application Graph Theory in Modern Society, M. Pal. S. Samanta and A. Pal, (eds.) IGI Global, USA (2020) 66-91.
3. R.Todeschini and V. Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, (2009).
4. V.R.Kulli, Edge version of F-index, general sum connectivity index of certain nanotubes, Annals of Pure and Applied Mathematics, 14(3) (2017) 449-455.
5. V.R Kulli, Edge version of general reformulated Zagreb index of certain nanotubes and nanotori, Journal of Computer and Mathematical Sciences, 8(11) (2017) 650-657.
6. V.R Kulli, Edge version of inverse sum indeg index of certain nanotubes and nanotori, International Research Journal of Pure Algebra, 7(11) (2017) 855-858.
7. M.N. Husin, R. Hasni, M. Imran and H. Kamarulhaili, The edge version of geometric-arithmetic index of nanotubes and nanotori, Optoelectron Adv. Mater.-Rapid Comm. 9(9-10) (2015) 1292-1300.
8. V.R.Kulli and I.Gutman, Revan Sombor index, Journal of Mathematics and Informatics, 22 (2022) 23-27.
9. V.R.Kulli, N.Harish, B.Chaluvaraju and I.Gutman, Mathematical Properties of KG Sombor index, Blletin of the International Mathematical Virtual Institute, 12(2) (2022) 379-386.
10. V.R.Kulli, N.Harish, and B.Chaluvaraju, Sombor leap indices of some chemical drugs, RESEARCH REVIEW International Journal of Multidisciplinary, 7(10) (2022) 158-166.
11. V.R.Kulli, J.A.Mendez-Bermudez, J.M.Rodriguez and J.M.Sigarreta, Revan Sombor indices: Analytical and statistical study, on random graphs, Mathematical Boisciences and Engineering, 20(2) (2022) 1801-1819.
12. H.R.Manjunatha, V.R.Kulli and N.D.Soner, The HDR Sombor index, International Journal of Mathematics Trends and Technology, 68(4) (2022) 1-6.
13. V.R.Kulli, Computation of reduced Kulli-Gutman Sombor index of certain networks, Journal of Mathematics and Informatics, 23 (2022) 1-5.
14. V.R.Kulli and I.Gutman, Sombor and KG Sombor indices of benzenoid systems and phenylenes, Annals of Pure and Applied Mathematics, 26(2) (2022) 49-53.
15. V.R.Kulli, New irregularity Nirmala indices of some chemical structures, International Journal of Engineering Sciences and Research Technology, 10(8) (2021) 33-42.
16. I.Gutman, V.R.Kulli and I.Redzepovic, Nirmala index of Kragujevac trees, International Journal of Mathematics Trends and Technology, 67(6) (2021) 44-49.
17. V.R.Kulli, B.Chaluvaraju and T.V.Asha, Computation of Nirmala indices of some chemical networks, Journal of Ultra Scientists of Physical Sciences-A, 33(4) (2021) 30-41.
18. A.H.Karim, N.E.Arif and A.M.Ramdan, The M-polynomial and Nirmala index of certain composite graphs, Tikrit Journal of Pure Science, 27(3) (2022) 92-101.
19. M.R.Nandargi and V.R.Kulli, The (a, b)-Nirmala index, International Journal of Engineering Sciences and Research Technology, 11(2) (2022) 37-42.
20. V.R.Kulli, Banhatti Nirmala index of certain chemical networks, International Journal of Mathematics Trends and Technology, 68(4) (2022) 12-17.
21. V.R.Kulli, HDR Nirmala index, International Journal of Mathematics and Computer Research, 10(7) (2022) 2796-2800.
22. V.R.Kulli, Status Nirmala index and its polynomial of a graph, Annals of Pure and Applied Mathematics, 25(2) (2022) 85-90.
23. N.K.Raut and G.K.Sanap, On Nirmala indices of Carbon nanocane C4[2], IOSR Journal of Mathematics, 18(4) Ser. II (2022) 10-15.
24. V.R.Kulli, Revan Nirmala index, Annals of Pure and Applied Mathematics, 26(1) (2022) 7-13.
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Kulli, V. R. (2023). Edge Version of Sombor and Nirmala Indices of Some Nanotubes and Nanotori. International Journal Of Mathematics And Computer Research, 11(3), 3305-3310. https://doi.org/10.47191/ijmcr/v11i3.04
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