Banhatti-Nirmala Index of certain Chemical
Networks

V. R. Kulli

doi:https://doi.org/10.14445/22315373/IJMTT-V68I4P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 4 | Year 2022 | Article Id. IJMTT-V68I4P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I4P503

Banhatti-Nirmala Index of certain Chemical Networks

V. R. Kulli

Received	Revised	Accepted
05 Mar 2022	06 Apr 2023	17 Apr 2022

Citation :

V. R. Kulli, "Banhatti-Nirmala Index of certain Chemical Networks," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 4, pp. 12-17, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I4P503

Abstract

In Chemical Graph Theory, several degree based topological indices were introduced and studied since 1972. Recently, a novel invariant is concerned, which is the Nirmal index defined as the sum of the square root of the degrees of the pairs of adjacent vertices. In this paper, we introduce the Banhatti-Nirmala index and its exponential of a graph and compute exact formulas for certain chemical networks.

Keywords

Topological index, Banhatti-Nirmala index, Banhatti-Nirmala exponential, Network.

References

[1] V.R.Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India (2012).
[2] I. Gutman and O.E. Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin (1986).
[3] V.R.Kulli, Multiplicative Connectivity Indices of Nanostructures, LAP LEMBERT Academic Publishing (2018).
[4] R.Todeschini and V. Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim, (2009).
[5] 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 (2019) 66-91.
[6] V.R.Kulli, K-Banhatti indices of graphs, Journal of Computer and Mathematical Sciences, 7(4) (2016) 213-218.
[7] V.R.Kulli, On K Banhatti indices and K hyper-Banhatti indices of V-Phenylenic nanotubes and nanotorus, Journal of Computer and Mathematical Sciences, 7(6) (2016) 302-307.
[8] I. Gutman, V.R.Kulli, B.Chaluvaraju and H.S. Baregowda, On Banhatti and Zagreb indices, Journal of the International Mathematical Virtual Institute, 7(2017) 53-67. DOI : 10.7251/JIMVI1701053G.
[9] V.R.Kulli, On K-hyper-Banhatti indices and coindices of graphs, International Research Journal of Pure Algebra, 6(5) (2016) 300-304.
[10] V.R.Kulli, New K Banhatti topological indices, International Journal of Fuzzy Mathematical Archive, 12(1) (2017) 29-37. DOI:http://dx.doi.org/10.22457/ijfma. v12n1a4.
[11] V.R. Kulli, B.Chaluvaraju and H.S.Boregowda, On sum connectivity Banhatti index of some nanostructures, submitted.
[12] V.R. Kulli, B.Chaluvaraju and H.S.Boregowda, The product connectivity Banhatti index of a graph, submitted.
[13] V.R.Kulli, Multiplicative hyper-Banhatti indices and coindices of graphs, International Journal of Mathematical Archive, 7(6) (2016) 60-65.
[14] V.R.Kulli, A new Banhatti geometric-arithmetic index, International Journal of Mathematical Archive, 8(4) (2017) 112-115.
[15] V.R.Kulli, B. Chaluvaraju and H.S. Boregowda, Connectivity Banhatti indices for certain families of benzenoid systems, Journal of Ultra Chemistry, 13(4) (2017) 81-87. DOI:http://dx.doi.org/10.22147/juc/130402.
[16] V.R.Kulli, Nirmala index, International Journal of Mathematics Trends and Technology, 67(3) (2021) 8.12.
[17] V.R.Kulli, V.Lokesha and Nirupadi K, Computation of inverse Nirmala indices of certain nanostructures, International Journal of Mathematical Combinatorics, 2 (2021) 32-39.
[18] V.R.Kulli, Neighborhood Nirmala index and its exponential of nanocones and dendrimers, International Journal of Engineering Sciences and Research Technology, 10(5) (2021) 47-56.
[19] V.R.Kulli and I.Gutman, On some mathematical properties of Nirmala index, Annals of Pure and Applied Mathematics, 23(2) (2021) 93-99.
[20] I.Gutman and V.R.Kulli, Nirmala energy, Open Journal of Discrete Applied Mathematics, 4(2) (2021) 11-16.
[21] V.R.Kulli, On multiplicative inverse Nirmala indices, Annals of Pure and Applied Mathematics, 23(2) (2021) 57-61.
[22] V.R.Kulli, Different versions of Nirmala index of certain chemical stuctures, International Journal of Mathematics Trends and Technology, 67(7) (2021) 56-63.
[23] V.R.Kulli, New irregularity Nirmala indices of some chemical structures, International Journal of Engineering Sciences and Research Technology, 10(8) (2021) 33-42.
[24] 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.
[25] N.Ghorbani, On the Nirmala index, submitted.
[26] 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.