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Combinatorial Chemistry & High Throughput Screening

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ISSN (Print): 1386-2073
ISSN (Online): 1875-5402

Research Article

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

Author(s): Tharmalingam Gunasekar, Ponnusamy Kathavarayan, Ammar Alsinai* and Govindhan Murugan

Volume 27, Issue 11, 2024

Published on: 28 December, 2023

Page: [1629 - 1641] Pages: 13

DOI: 10.2174/0113862073274943231211110011

Price: $65

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.

Method: 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..

Graphical Abstract

[1]
Wiener, H. Structural determination of paraffin boiling points. J. Am. Chem. Soc., 1947, 69(1), 17-20.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/10.1080/10406638.2021.1977349]
[53]
Hayat, S. The anti-Kekulé number of graphs. J. Math. Chem., 2021, 59(4), 871-941.
[http://dx.doi.org/10.1007/s10910-021-01221-x]
[54]
Randic, M. Characterization of molecular branching. J. Am. Chem. Soc., 1975, 97(23), 6609-6615.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/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.
[http://dx.doi.org/10.1088/1402-4896/acb327]

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