On Certain Degree Based and Bond-additive Topological Indices of Dodeca-benzo-circumcorenene


Cite item

Full Text

Abstract

Background:Chemical graph theory has been used to mathematically model the various physical and biological aspects of chemical substances. A mathematical formulation that may be applied to any graph and can characterise a molecule structure is known as a topological index or molecular descriptor.

Objective:It is convenient and efficient to analyse the mathematical values and further research on various physical properties of a molecule based on these molecular descriptors. They provide useful alternatives to lengthy, expensive, and labour-intensive laboratory experiments. The topological indices can be used to predict the chemical structures, physicochemical properties, and biological activities using quantitative structure-activity relationships (QSARs) and quantitative structure-property relationships (QSPRs).

Result:In this study, the molecular descriptors of the Dodeca-benzo-circumcorenene compounds are derived based on their corresponding molecular structures.

Conclusion:The computed indices are then compared graphically to study their relationship with the molecular structure and with each other.

About the authors

Tharmalingam Gunasekar

Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology

Email: info@benthamscience.net

Ponnusamy Kathavarayan

Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology

Email: info@benthamscience.net

Ammar Alsinai

Department of Mathematics, University of Mysore

Author for correspondence.
Email: info@benthamscience.net

Govindhan Murugan

Department of Mathematics, Chennai Institute of Technology (Autonomous)

Email: info@benthamscience.net

References

  1. Wiener, H. Structural determination of paraffin boiling points. J. Am. Chem. Soc., 1947, 69(1), 17-20. doi: 10.1021/ja01193a005 PMID: 20291038
  2. Estrada, E.; Torres, L.; Rodriguez, L.; Gutman, I. An atom-bond connectivity index, modelling the enthalpy of formation of alkanes. Indian. J. Chem. Sec. A., 1998, 37, 849-855.
  3. Ullah, A.; Zeb, A.; Zaman, S. A new perspective on the modeling and topological characterization of H-Naphtalenic nanosheets with applications. J. Mol. Model., 2022, 28(8), 211. doi: 10.1007/s00894-022-05201-z PMID: 35790576
  4. Fajtlowicz, S. On conjectures of graffiti-ii. Congr, 1987, (60), 187-197.
  5. Zhou, B.; Trinajstić, N. On a novel connectivity index. J. Math. Chem., 2009, 46(4), 1252-1270. doi: 10.1007/s10910-008-9515-z
  6. Vukičević, D.; Furtula, B.; Furtula, B. Topological index based on the ratios of geometrical and arithmetical means of end-vertex degrees of edges. J. Math. Chem., 2009, 46(4), 1369-1376. doi: 10.1007/s10910-009-9520-x
  7. Vukicevic, D.; Gasperov, M. Bond aditive modelling 1, Ariatic indices. Croat. Chem. Acta, 2010, 83, 243-260.
  8. Hakeem, A.; Ullah, A.; Zaman, S. Computation of some important degree-based topological indices for γ- graphyne and Zigzag graphyne nanoribbon. Mol. Phys., 2023, 121(14), e2211403. doi: 10.1080/00268976.2023.2211403
  9. Ullah, A.; Qasim, M.; Zaman, S.; Khan, A. Computational and comparative aspects of two carbon nanosheets with respect to some novel topological indices. Ain Shams Eng. J., 2022, 13(4), 101672. doi: 10.1016/j.asej.2021.101672
  10. Khabyah, A.A.; Zaman, S.; Koam, A.N.A.; Ahmad, A.; Ullah, A. Minimum zagreb eccentricity indices of two-mode network with applications in boiling point and benzenoid hydrocarbons. Mathematics, 2022, 10(9), 1393. doi: 10.3390/math10091393
  11. Abdel-Shafy, H.I.; M.S.M.; Mansour, H.I. A review on polycyclic aromatic hydrocarbons: Source, environmental impact, effect on human health and remediation, Egypt. J. Pet., 2016, 25(1), 107-123.
  12. Mastrangelo, G.; Fadda, E.; Marzia, V. Polycyclic aromatic hydrocarbons and cancer in man. Occup. Med., 1997, 3, 113.
  13. Imran, M.; Baig, A.Q.; Ali, H. On molecular topological properties of hex-derived networks. J. Chemometr., 2016, 30(3), 121-129. doi: 10.1002/cem.2785
  14. Hayat, S.; Imran, M. Computation of certain topological indices of nanotubes. J. Comput. Theor. Nanosci., 2015, 12(4), 533-541. doi: 10.1166/jctn.2015.3761
  15. Arockiaraj, M.; Clement, J.; Balasubramanian, K. Analytical expressions for topological properties of polycyclic benzenoid networks. J. Chemometr., 2016, 30(11), 682-697. doi: 10.1002/cem.2851
  16. Arockiaraj, M.; Clement, J.; Balasubramanian, K. Topological indices and their applications to circumcised donut benzenoid systems, kekulenes, and drugs. Polycycl. Aromat. Compd., 2020, 40(2), 280-303. doi: 10.1080/10406638.2017.1411958
  17. Arockiaraj, M.; Clement, J.; Tratnik, N.; Mushtaq, S.; Balasubramanian, K. Weighted mostar indices as measures of molecular peripheral shapes with applications to graphene, graphyne and graphdiyne nanoribbons. SAR QSAR Environ. Res., 2020, 31(3), 187-208. doi: 10.1080/1062936X.2019.1708459 PMID: 31960721
  18. Arockiaraj, M.; Klavžar, S.; Mushtaq, S.; Balasubramanian, K. Topological characterization of the full. Polycycl. Aromat. Compd., 2021, 41(9), 1902-1924. doi: 10.1080/10406638.2019.1703766
  19. Hayat, S.; Asmat, F. Sharp bounds on the generalized multiplicative first Zagreb index of graphs with application to QSPR modeling. Math, 2023, 11, p. (10)ID 2245.
  20. Julietraja, K.; Venugopal, P.; Prabhu, S.; Arulmozhi, A.K.; Siddiqui, M.K. Structural analysis of three types of PAHs using entropy measures. Polycycl. Aromat. Compd., 2022, 42(7), 4101-4131. doi: 10.1080/10406638.2021.1884101
  21. Nagase, M.; Kato, K.; Yagi, A.; Segawa, Y.; Itami, K. Six-fold C–H borylation of Dodeca-benzo-circumcorenene. Beilstein J. Org. Chem., 2020, 16(1), 391-397. doi: 10.3762/bjoc.16.37 PMID: 32256855
  22. Sakamoto, K.; Nishina, N.; Enoki, T.; Aihara, J. Aromatic character of nanographene model compounds. J. Phys. Chem. A, 2014, 118(16), 3014-3025. doi: 10.1021/jp5017032 PMID: 24689779
  23. Gao, C.; Qiao, Z.; Shi, K.; Chen, S.; Li, Y.; Yu, G.; Li, X.; Wang, H. Dodeca-benzo-circumcorenene and diketopyrrolopyrrole based D-A conjugated copolymers for organic field effect transistor and polymer solar cells. Org. Electron., 2016, 38, 245-255. doi: 10.1016/j.orgel.2016.08.008
  24. Seyler, H.; Purushothaman, B.; Jones, D.J.; Holmes, A.B.; Wong, W.W. Dodeca-benzo- circumcorenene in organic electronics. Pure Appl. Chem., 2012, 84(4), 1047-1067. doi: 10.1351/PAC-CON-11-09-24
  25. Chiappe, G.; Louis, E.; Guijarro, A.; San-Fabián, E.; Vergés, J.A. Exponential decay of spin-spin correlation between distant defect states produced by contour hydrogenation of polycyclic aromatic hydrocarbon molecules. Phys. Rev. B Condens. Matter Mater. Phys., 2013, 87(12), 125126. doi: 10.1103/PhysRevB.87.125126
  26. Trinajstic, N. Chemical graph theory; CRC Press: Boca Raton, FL, 1992.
  27. Todeschini, R.; Consonni, V. Handbook of molecular descriptors; Wiley, 2008.
  28. West, D.B. An introduction to graph theory; Prentice-Hall: Upper Saddle River, NJ, 1996.
  29. Yousefi-Azari, H.; Khalifeh, M.H.; Ashrafi, A.R. Calculating the edge Wiener and edge Szeged indices of graphs. J. Comput. Appl. Math., 2011, 235(16), 4866-4870. doi: 10.1016/j.cam.2011.02.019
  30. Julietraja, K.; Venugopal, P.; Chellamani, P. Topological analysis of PAHs using irregularity based Indices. Biointerface Res. Appl. Chem., 2022, 12(3), 2970-2987.
  31. Sarkar, P.; Pal, A. General fifth M-Zagreb polynomials of benzene ring implanted in the P-type-surface in 2D network. Biointerface Res. Appl. Chem., 2020, 10(6), 6881-6892. doi: 10.33263/BRIAC106.68816892
  32. Prabhu, S.; Arulperumjothi, M.; Murugan, G. On certain topological indices of titanium dioxide nanosheet and nanotube. J. Nanosci. Nanotechnol., 2018, 8(2), 309-316.
  33. Prabhu, S.; Arulperumjothi, M.; Murugan, G.; Dinesh, V.M.; Praveen Kumar, J. On certain counting polynomial of titanium dioxide nanotubes. J. Nanosci. Nanotechnol., 2019, 9(2), 240-243.
  34. Prabhu, S.; Murugan, G.; Cary, M.; Arulperumjothi, M.; Liu, J.B. On certain distance and degree based topological indices of Zeolite LTA frameworks. Mater. Res. Express, 2020, 7(5), 055006. doi: 10.1088/2053-1591/ab8b18
  35. Prabhu, S.; Murugan, G.; Arulperumjothi, M. On the edge-version of topological indices of titanium dioxide nanotube and nanosheet. Nanosci. Nanotechnol. Asia, 2021, 11(2), 174-188. doi: 10.2174/2210681210999200423120222
  36. Prabhu, S.; Murugan, G.; Arockiaraj, M.; Arulperumjothi, M.; Manimozhi, V. Molecular topological characterization of three classes of polycyclic aromatic hydrocarbons. J. Mol. Struct., 2021, 1229, 129501. doi: 10.1016/j.molstruc.2020.129501
  37. Prabhu, S.; Murugan, G.; Sudhakhar, K.S. On the new topological index of certain nanostructures using combinatorial computation. J. Math. Comput. Sci., 2018, 9(9), 1257-1265. doi: 10.29055/jcms/865
  38. Prabhu, S.; Murugan, G.; Muthuraman, N. On degree-distance index of hexagonal network Int. J. Adv. Res. Basic Engg. Sci. and Tech., 2018, 4(3), 24-33.
  39. Prabhu, S.; Murugan, G.; Liu, J.; Arulperumjothi, M.; Hosamani, S. On the sanskruti index of certain silicate and its derived structures. Advances in Electrical and Computer Technologies: Select Proceedings of ICAECT, 2020, pp. 991-1006.
  40. Prabhu, S.; Saikumari, N.; Murugan, G.; Sudhakhar, K.S. On certain topological indices of gold crystal. Mater. Today Proc., 2021, 47, 1908-1914. doi: 10.1016/j.matpr.2021.03.676
  41. Baby, A.; Julietraja, K.; Xavier, D.A. On molecular structural characterization of cyclen cored dendrimers. Polycycl. Aromat. Comp., 2023.
  42. Xavier, D.A.; Julietraja, K.; Nair, A.T. Distance-based structural descriptors of non-conjugated ethylene oxide dendritic core decorated with tetraphenylethylene Polycycl. Aromat. Comp., 2023, 1-18.
  43. Yang, J.; Konsalraj, J.; Raja S, A.A. Neighbourhood sum degreebased indices and entropy measures for certain family of graphene molecules. molecules, 2022, 28(1), 168. doi: 10.3390/molecules28010168 PMID: 36615362
  44. Gunasekar, T.; Kathavarayan, P.; Murugan, G.; Julietraja, K. On certain degree based and bond additive molecular descriptors of hexabenzocorenene. Biointerface Res. Appl. Chem., 2023, 13(5), 2970-2987.
  45. Javaraju, S.; Alsinai, A.; Alwardi, A.; Ahmed, H.; Soner, N.D. Reciprocal leap indices of some wheel related graphs. J. Prime Res. Math., 2021, 17(2), 101-110.
  46. Alsinai, A.; Saleh, A.; Ahmed, H.; Mishra, L.N.; Soner, N.D. On fourth leap Zagreb index of graphs. Discrete Math. Algorithms Appl., 2023, 15(2), 2250077. doi: 10.1142/S179383092250077X
  47. Alsinai, A.; Basavanagoud, B.; Sayyed, M.; Farahani, M.R. Sombor index of some nanostructures. J. Prime Res. Math., 2021, 17(2), 123-133.
  48. Hasan, A.; Qasmi, M.H.A.; Alsinai, A.; Alaeiyan, M.; Farahani, M.R.; Cancan, M. Distance and degree based topological polynomial and indices of X-level wheel graph. J. Prime Res. Math., 2021, 17(2), 39-50.
  49. Javaraju, S.; Ahmed, H.; Alsinai, A.; Soner, N.D. Domination topological properties of carbidopa-levodopa used for treatment Parkinson’s disease by using φp-polynomial. Eurasian Chem. Commun., 2021, 3(9), 614-621.
  50. Hayat, S.; Wang, S.; Liu, J.B. Valency-based topological descriptors of chemical networks and their applications. Appl. Math. Model., 2018, 60, 164-178. doi: 10.1016/j.apm.2018.03.016
  51. Hayat, S.; Khan, S.; Khan, A.; Liu, J.B. Valency-based molecular descriptors for measuring the π-electronic energy of lower polycyclic aromatic hydrocarbons. Polycycl. Aromat. Compd., 2022, 42(4), 1113-1129. doi: 10.1080/10406638.2020.1768414
  52. Malik, M.Y.H.; Binyamin, M.A.; Hayat, S. Correlation ability of degree-based topological indices for physicochemical properties of polycyclic aromatic hydrocarbons with applications. Polycycl. Aromat. Compd., 2022, 42(9), 6267-6281. doi: 10.1080/10406638.2021.1977349
  53. Hayat, S. The anti-Kekulé number of graphs. J. Math. Chem., 2021, 59(4), 871-941. doi: 10.1007/s10910-021-01221-x
  54. Randic, M. Characterization of molecular branching. J. Am. Chem. Soc., 1975, 97(23), 6609-6615. doi: 10.1021/ja00856a001
  55. Favaron, O.; Mahéo, M.; Saclé, J-F.; Sacl, J.F. Some eigenvalue properties in graphs (conjectures of Graffiti — II). Discrete Math., 1993, 111(1-3), 197-220. doi: 10.1016/0012-365X(93)90156-N
  56. Manso, F.C.G.; Scatena, H.; Bruns, R.E.; Rubira, A.F.; Muniz, E.C. Development of a new topological index for the prediction of normal boiling point temperatures of hydrocarbons: The Fi index. J. Mol. Liq., 2012, 165, 125-132. doi: 10.1016/j.molliq.2011.10.019
  57. Gutman, I.; Trinajstić, N. Graph theory and molecular orbitals. Total φ-electron energy of alternant hydrocarbons. Chem. Phys. Lett., 1972, 17(4), 535-538. doi: 10.1016/0009-2614(72)85099-1
  58. Furtula, B.; Gutman, I.; Ediz, S. On difference of Zagreb indices. Discrete Appl. Math., 2014, 178, 83-88. doi: 10.1016/j.dam.2014.06.011
  59. Shirdel, G.H.; Rezapour, H.; Sayadi, A.M. The hyper-zagreb index of graph operations. Iranian J. Math. Chem., 2013, 4(2), 213-220.
  60. Furtula, B.; Graovac, A.; Vukičević, D.; Evi, D. Augmented Zagreb index. J. Math. Chem., 2010, 48(2), 370-380. doi: 10.1007/s10910-010-9677-3
  61. Wang, X.; Hanif, M.F.; Mahmood, H.; Manzoor, S.; Siddiqui, M.K.; Cancan, M. On computation of entropy measures and their statistical analysis for complex benzene systems. Polycycl. Aromat. Compd., 2023, 43(9), 7754-7768. doi: 10.1080/10406638.2022.2139734
  62. Zaman, S.; Jalani, M.; Ullahand, A.; Saeedi, S. Structural analysis and topological characterization of sudoku nanosheet. J. Math., 2022, 5915740.
  63. Zaman, S.; Jalani, M.; Ullah, A.; Ali, M.; Shahzadi, T. On the topological descriptors and structural analysis of cerium oxide nanostructures. Chem. Zvesti, 2023, 77(5), 2917-2922. doi: 10.1007/s11696-023-02675-w
  64. Ullah, A.; Shamsudin, S.; Ullah, A.; Zaman; Hamraz, A.; Saeedi, G. Network-based modeling of the molecular topology of fuchsine acid dye with respect to some irregular molecular descriptors. J. Chem., 2022, 8131276.
  65. Mondal, S.; Bhosale, A.; De, N.; Pal, A. Topological properties of some nanostructures. Nanosyst: Phys, Chem. Math., 2020, 11(1), 14-24.
  66. Hakeem, A.; Katbar, N. M.; Muhammad, F.; Ahmed, N. QSPR analysis of some important drugs used in heart attack treatment via degree-based topological indices and regression models, Polycycl. Aromat. Comp, 2023.
  67. Ullah, A.; Shamsudin, S.; Zaman, S.; Hamraz, A. Zagreb connection topological descriptors and structural property of the triangular chain structures. Phys. Scr., 2023, 98(2), 025009. doi: 10.1088/1402-4896/acb327

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2024 Bentham Science Publishers