Original Research Article

Article volume = 2022 and issue = 2

Pages: 154–166

Article publication Date: November 21, 2022

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Investigating neighborhood Gourava indices using Neighborhood M-Polynomial in some drug structures

Jaber Ramezani Tousi(a), Masoud Ghods(a) and Fateme Movahedi(b)

(a) Department of applied Mathematics, Semnan University, Semnan 35131-19111, Iran.

(b) Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran.


Studying the structure of molecular graphs of drugs, especially drugs effective in treating Covid-19, is practical and essential. Gourava indices have critical applications in chemistry; they have a high correlation with entropy and acentric factor. In this article, first, neighborhood Gourava indices are introduced. Then the mathematical relationship between NM-polynomial and neighborhood Gourava indices are obtained. Using NM-polynomial, neighborhood Gourava indices are computed for the molecular graphs of Dexamethasone, Chloroquine, Hydroxychloroquine, and Remedsivir.


Neighborhood Gourava indices, Neighborhood Hyper Gourava indices, Molecular graph, NM-Polynomials, Antiviral drugs.

  • [1] Aruvi, M. Joseph, J. Ramganesh, E., The second Gourava index of some graph products, Advances in Mathematics, Scientific Journal. (9), (2020), 10241-10249. 10.37418/amsj.9.12.16. 2
  • [2] B. Basavanagoud, A. P. Barangi and S. M. Hosamani, First neighborhood Zagreb index of some nanostructures, Proceedings IAM., (2018), 178-193. 1
  • [3] Basavanagoud, B. , Policepatil, Shruti, Chemical applicability of Gourava and hyper-Gourava indices, Nanosystems: Physics, Chemistry, Mathematics, (2021), 142-150. 10.17586/2220-8054-2021-12-2-142-150. 2
  • [4] M. Ghods and J. Ramezani, Computing Revan polynomials and Revan indices of copper (I) oxide and copper (II) oxide, Communications in Combinatorics, Cryptography and Computer Science, (1), (2021), 50–58. 1
  • [5] I. Gutman, B. Ruscic, N. Trinajstic, C. F. Wilcox, Graph theory and molecular orbitals, Acyclic polyenes. J. Chem. Phys. , (1975) 62, 3399–3405. . 2
  • [6] A. Graovac, M. Ghorbani and M.A. Hosseinzadeh Computing fifth geometric-arithmetic index of nanostar dendrimers, Journal of Mathematical Nanoscience, 1(1), (2011), 33-42. 1
  • [7] Kulli, V. R., The Gourava indices and coindices of graphs, Annals of Pure and Applied Mathematics, (2017), 33-38. 2
  • [8] Kulli, V. R., General fifth M-Zagreb indices and fifth M-Zagreb polynomials of PAMAM dendrimers, International Journal of Fuzzy Mathematical Archive, 131, (2017) 99-103. 1
  • [9] Kulli, V. R., Neighborhood indices of nanostructures, International Journal of Current Research in Science and Technology, (2019), 1-14. 1
  • [10] Kulli, V. R., Computing fifth arithmetic-geometric index of certain nanostructures, Journal of Computer and Mathematical Sciences, 8(5), (2017), 196-201. 1
  • [11] V.R.Kulli, Revan Indices of Chloroquine, Hydroxychloroquine, Remdesivir: Research Advances for the treatment of COVID-19, Int. J. Eng. Sci. Technol, 9, (2020), 73-74. 1
  • [12] V.R.Kulli, Some new multiplicative geometric-arithmetic indices, Journal of Ultra Scientist of Physical Sciences, 292, (2017), 52-57. 1
  • [13] V.R.Kulli, Some new fifth multiplicative Zagreb indices of PAMAM dendrimers, Journal of Global Research in Mathematics, 52, (2018), 82-86. 1
  • [14] V.R.Kulli, Two new multiplicative atom bond connectivity indices, Annals of Pure and Applied Mathematics, 131, (2017), 1-7. 1
  • [15] Mirajkar, K., Basavanagoud, P., On Gourava Indices of Some Chemical Graphs, International Journal of Applied Engineering Research, 14, (2019), 743-749. 2
  • [16] S. Mondel, M.A. Ali, N.De and A. Pal, Bounds for neighborhood Zagreb index and its explicit expressions under some graph operations, Proyecciones, 394, (2020), 799-819. 1
  • [17] S. Mondel, N. De and A. Pal, On neighborhood index of product of graphs,ArXiv: 1805.05273vi, , (2018). 1
  • [18] Mondal, S., De, N., Pal, A., Topological Indices of Some Chemical Structures Applied for the Treatment of COVID-19 Patients, Polycyclic Aromatic Compounds, , (2020). 1
  • [19] S. Mondal, N. De, M. K. Siddiqui, and A. Pal, Topological properties of para-line graph of some convex polytopes using neighborhood M-polynomial, Biointerface Research in Applied Chemistry, 113, (2020), 9915–9927. 1
  • [20] P. Sarkar and A. Pal, General fifth M-Zagreb polynomials of benzene ring implanted in the p-type-surface in 2D network, Biointerface Research in Applied Chemistry, 106, (2020) 6881-6892. 1
Cite this article as:
  • Jaber Ramezani Tousi, Masoud Ghods and Fateme Movahedi, Investigating neighborhood Gourava indices using Neighborhood M-Polynomial in some drug structures, Communications in Combinatorics, Cryptography & Computer Science, 2022(2), PP.154–166, 2022
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