International Journal of Mathematics Trends and Technology
Volume 68 | Issue 10 | Year 2022 | Article Id. IJMTT-V68I10P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I10P501
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 26 Aug 2022 | 02 Oct 2022 | 15 Oct 2022 | 26 Oct 2022 |
In this paper, we introduce the multiplicative KG Sombor index, multiplicative modified KG Sombor index of a graph. We compute these multiplicative KG Sombor indices for some chemical structures such as chain silicate, silicate, hexagonal and oxide networks.
[1] V.R.Kulli, “College Graph Theory,” Vishwa International Publications, Gulbarga, India, 2012.
[2] V.R.Kulli, “On K Banhatti Indices of Graphs,” Journal of Computer and Mathematical Sciences, vol. 7, no. 4, pp. 213-218, 2016.
[3] V.R.Kulli, “On K Hyper-Banhatti Indices and Coindices of Graphs,” International Research Journal of Pure Algebra, vol. 6, no. 5, pp. 300-304, 2016.
[4] V.R.Kulli, B. Chaluvaraju, H.S. Boregowda, “The Product Connectivity Banhatti Index of a Graph,” Mathematical discussions, Graph Theory, vol. 39, pp. 505-517, 2019.
[5] V.R.Kulli, “Banhatti-Nirmala Index of Certain Chemical Networks,” International Journal of Mathematics Trends and Technology, vol. 68, no. 4, pp. 12-17, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I4P503.
[6] V.R.Kulli, N.Harish, B.Chaluvaraju and I.Gutman, “Mathematical Properties of Kg Index,” Bulletin of International Mathematical Virtual Institute, vol. 12, no. 2, pp. 379-386, 2022.
[7] V.R.Kulli, “On Second Banhatti-Sombor Indices,” International Journal of Mathematical Archive, vol. 12, no. 5, pp. 11-16, 2021.
[8] V.R.Kulli, “Neighborhood Sombor Index of Some Nanostructures,” International Journal of Mathematics Trends and Technology, vol. 67, no. 5, pp. 101-108, 2021. Crossref, https://doi.org//10.14445/22315373/IJMTT-V67I5P512.
[9] V.R.Kulli, “Sombor Indices of Two Families of Dendrimer Nanostars,” Annals of Pure and Applied Mathematics, vol. 24, no. 1, pp. 21-26, 2021.
[10] V.R.Kulli, “Different Versions of Sombor Index of Some Chemical Structures,” International Journal of Engineering Sciences and Research Technology, vol. 10, no. 7, pp. 23-32, 2021.
[11] V.R.Kulli, “New Irregularity Sombor Indices and New Adriatic (A, B)-Ka Indices of Certain Chemical Drugs,” International Journal of Mathematics Trends and Technology, vol. 67, no. 9, pp. 105-113, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I9P512.
[12] I.Milovanovic, E.Milovanovic and M.Matejic, “On Some Mathematical Properties of Sombor Indices,” Bulletin Of International Mathematical Virtual Institute, vol. 11, no. 2, pp. 341-353, 2021.
[13] H.R.Manjunatha, V.R.Kulli and N.D.Soner, “The HDR Sombor Index,” International Journal of Mathematics Trends and Technology, vol. 68, no. 4, pp. 1-6, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I4P501.
[14] R.Aguilar-Sanchez, J.A.Mendez-Bermudez, J.M.Sigaarreta, “Normalized Sombor Indices as Complexity Measures of Random Graphs, Arxiv , Doi: Arxiv: 2106.03190, 2021.
[15] Z.Lin, T.Zhou, V.R.Kulli and L.Miao, “On the First Banhatti-Sombor Index,” Journal of International Mathematical Virtual Institute, vol. 11, pp. 53-68, 2021.
[16] I.Gutman, V.R.Kulli and I.Redzepovic, “Sombor Index of Kragujevac Trees,” Scientific Publications of the State University of Novi Pazar Series A Applied Mathematics Informatics and mechanics, vol. 13, no. 2, pp. 61-70, 2021.
[17] V.R.Kulli and I.Gutman, “Revan Sombor Index,” Journal of Mathematics and Informatics, vol. 22, pp. 23-27, 2022.
[18] V.R.Kulli, “Revan Sombor Indices and Their Exponentials of Certain Nanotubes,” International Journal of Engineering Sciences and Research Technology, vol. 11, no. 5, pp. 22-31, 2022.
[19] V.R.Kulli, “Sratus Sombor Indices,” International Journal of Mathematics and Computer Research, vol. 10, no. 6, pp. 2726-2730, 2022.
[20] K.C. Das, A.S. Cevik, I.N. Cangul and Y. Shang, “On Sombor Index,” Symmetry, vol. 13, pp. 140, 2021.
[21] Y.Huang and H.Liu, “Bounds of Modified Sombor Index, Spectral Radius and Energy, Aims Mathematics, vol. 6, no. 6, pp. 11263-11274, 2021.
[22] S.Alikhani and N.Ghanbari, “Sombor Index of Polymers,” MATCH Communications in Mathematical and in Computer Chemistry, Vol. 86, 2021.
[23] R.Cruz, I.Gutman and J.Rada, “Sombor Index of Chemical Graphs,” Applied Mathematics and Computation, vol. 399, pp. 126018, 2021.
[24] H.Deng, Z.Tang and R.Wu, “Molecular Trees with Extremal Values of Sombor Indices,” International Journal of Quantum Chemistry, Doi: 10.1002/Qua.26622.
[25] B.Horoldagva and C.Xu, “On Sombor Index of Graphs,” MATCH Communications in Mathematical and in Computer Chemistry, Vol. 86, 2021.
[26] V.R.Kulli and I.Gutman, “Computation of Sombor Indices of Certain Networks,” SSRG International Journal of Applied Chemistry, vol. 8, no. 1, pp. 1-5, 2021. Crossref, https://doi.org/10.14445/23939133/IJAC-V8I1P101.
[27] I.Redzepović, “Chemical Applicability of Sombor Indices,” Journal of the Serbian Chemical Society, 2021. https://doi.org/10.2298/Jsc20:1215006r.
[28] T.Reti, T. Došlić and A. Ali, “On the Sombor Index of Graphs,” Contributions of Mathematics, 3 pp. 11-18, 2021.
[29] V.R.Kulli, “KG Sombor Indices of Certain Chemical Drugs,” International Journal of Engineering Sciences and Research Technology, vol. 10, no. 6, pp. 27-35, 2022.
[30] T.V.Asha, V.R.Kulli and B.Chaluvaraju, “Multiplicative Versions of Banhatti Indices,” South East Asian Journal of Mathematics and Mathematical Sciences, vol. 18, no. 1, pp. 309-324, 2022.
[31] V.R.Kulli, “Multiplicative Sombor Indices of Certain Nanotubes,” International Journal of Mathematical Archive, vol. 12, no. 3, pp. 1-5, 2021.
V. R. Kulli, "Multiplicative KG-Sombor Indices of Some Networks," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 10, pp. 1-7, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I10P501
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