Nirmala leap indices of some chemical drugs against Covid-19

Document Type : Original Article


1 Department of Mathematics, School of Applied Sciences, Centurion University of Technology and Management, Odisha, India, Bolangir Campus, 76700

2 Gulbarga University

3 Bursa Uludag University


In Chemical Graph Theory, several degree-based topological indices were introduced and studied since 1947. Some of these have important applications in chemistry while some only have nice mathematical properties. In this paper, we introduce the Nirmala leap index and modified Nirmala leap index, and their polynomials and compute these indices for some important nanostructures which appeared in nanoscience, especially used as a treatment alternative against Covid-19 in many countries.

Graphical Abstract

Nirmala leap indices of some chemical drugs against Covid-19


Main Subjects

[1] B. Chaluvaraju, A. B. Shaikh, Different versions of atom bond connectivity indices of some molecular structures: Applied for the treatment of COVID-19, Polycycl. Aromat. Compd. 42(6) (2022) 3748–3761.
[2] M. V. Diudea (ed.), QSPR-QSAR studies by Molecular Descriptors, NOVA, New York, 2001.
[3] I. Gutman, V. R. Kulli, Nirmala energy, Open J. Discret. Appl. Math. 4(2) (2021) 11–16.
[4] I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin, 1986.
 [5] I. Gutman, Z. Shao, Z. Li, S. Wang, P. Wu, Leap Zagreb indices of trees and unicyclic graphs, Commun. Comb. Optim. 3(2) (2018) 179-194.
[6] N.Kansal, P.Garg, O.Singh, Temperature based topological indices and OSPR Analysis of COVID-19 drugs, Polycycl. Aromat. Compd. (2022) 1–22.
[7] V. R. Kulli, College Graph Theory, Vishwa International Publications, Gulbarga, India, 2012.
[8] V. R. Kulli, Graph Indices, in Hand Book of Research on Advanced Applications of Graph Theory in Modern Society, M. Pal. S. Samanta, A. Pal, (eds.) IGI Global, USA (2020) 66–91.
[9] V. R. Kulli, Nirmala index, Int. J. Math. Trend. Tech. 67(3) (2021) 8–12.
[10] V. R. Kulli, I. Gutman, On some mathematical properties of Nirmala index, Annal. Pure Appl. Math. 23(2) (2021) 93–99.
[11] V. R. Kulli, N. Harish, B. Chaluvaraju, Sombor leap indices of some chemical drugs, Res. Rev. Int. J. Multidiscip. 7(10) (2022) 158–166.
[12] V. R. Kulli, V. Lokesha, Nirupadi K, Computation of inverse Nirmala indices of certain nanostruc-tures, Int. J. Math. Comb. 2 (2021) 32–39.
[13] V. R. Kulli, Revan indices of chloroquine, hydroxychloroquine, remdesimir: Research Advances for the treatment of COVID-19, Int. J. Eng. Res. Technol. 9(5) (2020) 73–84.
[14] A. Mahboob, G. Muhiuddin, I. Siddique, S. M. Alam, A view of Banhatti and Revan indices of chemical graphs, J. Math. 10 (2022) 1-10.
[15] A. Naji, N. D. Soner, I. Gutman, On leap Zagreb indices of graphs, Commun. Comb. Optim. 2(2017) 99–117.
Volume 8, Issue 1
In memory of Prof. Ali Reza Ashrafi
June 2023
Pages 13-21
  • Receive Date: 27 January 2023
  • Revise Date: 07 February 2023
  • Accept Date: 20 February 2023
  • Publish Date: 01 March 2023