Neighborhood Sombor Indices

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2022 by IJMTT Journal
Volume-68 Issue-6
Year of Publication : 2022
Authors : V. R. Kulli
 10.14445/22315373/IJMTT-V68I6P525

How to Cite?

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

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.

Reference

[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.