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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 6 | Year 2022 | Article Id. IJMTT-V68I6P525 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I6P525

Neighborhood Sombor Indices


V. R. Kulli
Received Revised Accepted Published
25 May 2022 04 Jul 2022 07 Jul 2022 09 Jul 2022
Abstract

A molecular graph is a simple graph related to the structure of a chemical compound. In this paper, we introduce the modified neighborhood Sombor index and the modified neighborhood Sombor exponential of a graph. Also we compute the neighborhood Sombor and modified neighborhood Sombor indices and their corresponding exponentials of some important dendrimers. Some properties of the neighborhood Sombor index are obtained.

Keywords
Neighborhood Sombor index, Modified neighborhood Sombor index, Dendrimer.
References

[1] V.R.Kulli, “College Graph Theory,” Vishwa International Publications, Gulbarga, India, 2012.
[2] A.Graovac, M.Ghorbani and M.A.Hosseinzadeh, “Computing Fifth Geometric-Arithmetic Index of Nanostardendrimers,” Journal of Mathematical Nanoscience, vol. 1, no. 1, pp. 33-42, 2011.
[3] V.R Kulli, “NeighborhoodSombor Index of Some Nanostructures,” International Journal of Mathematics Trends and Technology, vol. 67, no. 5, pp. 101-108, 2021.
[4] I.Gutman, “Geometric Approach to Degree-Based Topological Indices: Sombor Indices,” MATCH Commun. Math. Comput.Chem, vol. 86, pp. 11-16, 2021.
[5] V.R.Kulli, “Sombor Indices of Certain Graph Operators,” International Journal of Engineering Sciences and Research Technology, vol. 10, no. 1, pp. 127-134, 2021.
[6] K.C. Das, A.S. Cevik, I.N. Cangul and Y. Shang, “On Sombor Index,” Symmetry, vol. 13, pp. 140, 2021.
[7] Y.Huang and H.Liu, “Bounds of Modified Sombor Index, Spectral Radius and Energy,” AIMS Mathematics, vol. 6, no. 10, pp. 11263-11274, 2021.
[8] V.R.Kulli, “On Banhatti-Sombor Indices,” SSRG International Journal of Applied Chemistry, vol. 8, no. 1, pp.20-25, 2021.
[9] 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.
[10] V.RKulli, “δ-Sombor Index and Its Exponential for Certain Nanotubes,” Annals of Pure and Applied Mathematics, vol. 23, no. 1, pp. 37-42, 2021.
[11] V.R.Kulli, “Computation of Multiplicative Banhatti-Sombor Indices of Certain Benzenoid Systems,” International Journal of Mathematical Archive, vol. 12, no. 4, pp. 24-30, 2021.
[12] V.R.Kulli, “On Second Banhatti-Sombor Indices,” International Journal of Mathematical Archive, vol. 12, no. 5, pp. 11-16, 2021.
[13] I.Milovanovic, E.Milovanovic and M.Matejic, “On Some Mathematical Properties of Sombor Indices,” Bull. Int. Math. Virtual Inst. vol. 11, no. 2, pp. 341-353, 2021.
[14] V.R Kulli, “Multiplicative Sombor Indices of Certain Nanotubes,” International Journal of Mathematical Archive, vol. 12, no. 3, pp. 1-5, 2021.
[15] V.R.Kulli and I.Gutman, “RevanSombor Index,” Journal of Mathematics and Informatics, vol. 22, pp. 23-27, 2022.
[16] V.R.Kulli, “Revan Somborindices and their Exponentials for Certain Nanotubes,” International Journal of Engineering Sciences & Research Technology, vol. 11, no. 50, pp. 22-31, 2022.
[17] V.R Kulli, “Status Sombor Indices,” International Journal of Mathematics and Computer Research, vol. 10, no. 6, pp. 2726-2730, 2022.
[18] 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.
[19] 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.
[20] Z.Lil, T.Zhou, V.R.Kulli and L.Miao, “On the First Banhatti-Sombor Index,” J.Int.Math. Virt. Inst. vol. 11, pp. 53-68, 2021.
[21] B.Furtula and I. Gutman, “A Forgotten Topological Index,” J. Math. Chem, vol. 53, pp. 1184-1190, 2015.

Citation :

V. R. Kulli, "Neighborhood Sombor Indices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 6, pp. 195-204, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P525

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