Web of Science (Emerging Sources Citation Index), ISC

Document Type : Original Research Article

Authors

1 Department of Mathematics and Statistics, The University of Lahore, Lahore, 54000, Pakistan

2 MCS, National University of Sciences and Technology, Islamabad, Pakistan

3 Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran

4 Faculty of Education, Van Yuzuncu Yıl University, Zeve Campus, Tuşba, 65080, Van, Turkey

Abstract

Algebraic polynomials play an important role in theoretical chemistry because these can reflect the properties of the chemical compound. M-polynomial is also an algebraic polynomial that is used to find the expressions of several degree dependent topological indices. These topological indices have the ability to explore the information store in the chemical molecule. In this work, we computed the M-polynomial and then obtained the degree-based topological indices for the benzene ring embedded in P-type-surface in 2D network. We also explored the results graphically.

Graphical Abstract

Theoretical study of benzene ring embedded in P-type surface in 2d network using some new degree based topological indices via M-polynomial

Keywords

Main Subjects

[1] D. Afzal, S. Hussain, M. Aldemir, M. Farahani, F. Afzal, Eurasian Chem. Commun., 2020, 2, 1117–1125.
[2] F. Afzal, S. Hussain, D. Afzal, S. Hameed, Open Chem., 2020, 18, 1362 – 1369.
[3] F. Afzal, S. Hussain, D. Afzal, S. Razaq,  J. Inf. Opt. Sci., 2020, 41, 1061–1076.
[4] M. Cancan, D. Afzal, S. Hussain, A. Maqbool, F. Afzal, J. D. Math. Sci. and Cryp., 2020, 23, 1157–1171.
[5] M. Cancan, S. Ediz, H. Mutee-Ur-Rehman, D. Afzal, J. Inf. Opt. Sci., 2020, 41, 1117–1131.
[6] E. Deutsch, S. Klavžar, Iran J. Math. Chem., 2015, 6, 93–102.
[7] D.H. Rouvray, Acta Pharm.  Jugosl., 1986, 36, 239–252.
[8] J.A. Ellis-Monaghan, C. Merino, In Structural Analysis of Complex Networks, Boston, Birkh user, 2010.
[9] E. Estrada, D. Bonchev. Chapman and Hall/CRC, 2013.
[10] S. Hosamani, D. Perigidad, S. Jamagoud, Y. Maled, S. Gavade, J. Stat. Appl. Prob., 2017, 6, 361–371.
[11] S.M. Kang, W. Nazeer, W. Gao, D. Afzal, S.N. Gillani, Open Chem., 2018, 16, 201–213.
[12] A.J.M. Khalaf, S. Hussain, D. Afzal, F. Afzal, A. Maqbool, J. D. Math. Sci. and Cryp., 2020, 23, 1217–1237.
[13] S. Ramakrishnan, J. Senbagamalar, J.B. Babujee, IJCOA, 2013, 2, 68–74.
[14] D.Y. Shin, S. Hussain, F. Afzal, C. Park, D. Afzal, M.R. Farahani, Front. Chem., 2021, 8, Article 613873, 6 pages.
[15] N. Trinajstic, Chemical Graph Theory, New York: Routledge, 1992.
[16] D.B. West, Introduction of Graph Theory, New Jersey: Prentice-Hall, 2001.
[17] M. Cancan, S. Ediz, M.R. Farahani, Eurasian Chem. Commun., 2020, 2, 641-645.
[18] A.Q. Baig, M. Naeem, W. Gao, J.B. Liu, Eurasian Chem. Commun., 2020, 2, 634-640.
[19] F. Afzal, M.A. Razaq, D. Afzal, S. Hameed, Eurasian Chem. Commun., 2020, 2, 652-662.
[20] M. Alaeiyan, C. Natarajan, G. Sathiamoorthy, M.R. Farahani, Eurasian Chem. Commun., 2020, 2, 646-651.
[21] H. Yang, X. Zhang, J. D. Math. Sci. and Cryp., 2018, 21, 1495-1507.
[22] M. Imran, S.A. Bokhary, S. Manzoor, M.K. Siddiqui, Eurasian Chem. Communm., 2020, 2, 680-687.
[23] Z. Ahmad, M. Naseem, M.K. Jamil, Sh. Wang, M.F. Nadeem, Eurasian Chem. Commun., 2020, 2, 712-721.
[24] Z. Ahmad, M. Naseem, M.K. Jamil, M.K. Siddiqui, M.F. Nadeem, Eurasian Chem. Commun., 2020, 2, 663-671.
[25] S.M. Kang, W. Nazeer, W. Gao, D. Afzal, S.N. Gillani, Open Chem., 2018, 16, 201-213.
[26] M.R. Farahani, Acta Chim. Slov., 2012, 59, 965-968.
[27] Z. Shao, A.R Virk, M.S Javed, M.A Rehman, M.R. Farahani, Open Appl. Sci. Let., 2019,2, 01-11.
Copyright © 2021 by SPC (Sami Publishing Company)+ is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

[28] M.R. Farahani, World Appl. Sci. J., 2012, 20, 1248-1251.
[29] M.H.A. Siddiqui, M.R. Farahani, Open J. Math. Anal., 2017, 1, 45-60.
[30] M.R. Farahani, Int. J. Theor.l Chem., 2013, 1, 01-09.
[31] M.R. Farahani, Chem. Phys. Res, J., 2013,6, 27-33.
[32] M.R. Farahani, W. Gao, J. Chem. Pharma. Res., 2015, 7, 535-539.
[33] M.R. Farahani, J. Chem. Acta, 2013, 2, 22-25.
[34] W. Gao, M.R. Farahani, J. Nanotech., 2016, 2016, Article ID 3129561, 1-6.
[35] H. Yang, A.Q. Baig, W. Khalid, M.R. Farahani, X. Zhang, J. Chem., 2019, Article ID 7297253, 9 pages.