Topological indices of the system of generalized prisms via M-Polynomial approach

Afzal, Farkhanda; Farahani, Mohammad Reza; Cancan, Murat; Arshad, Faiza; Afzal, Deeba; Chaudhry, Faryal

doi:10.22034/ecc.2021.278749.1155

Document Type : Original Research Article

Authors

¹ MCS, National University of Sciences and Technology, Islamabad, Pakistan

² Department of Applied Mathematics, Iran University of Science and Technology (IUST), Narmak, 16844, Tehran, Iran

³ Faculty of Education, Van Yuzuncu Yıl University, Zeve Campus, Tuşba, 65080, Van, Turkey

⁴ Department of Mathematics and Statistics, The University of Lahore, Lahore, 54000, Pakistan

https://doi.org/10.22034/ecc.2021.278749.1155

Abstract

The characteristics of various networks can be distinguished with the help of topological indices. The purpose of this paper is to study the generalized prism network, which is very interesting for physics and engineering researchers. Regarding this network, we recovered some degree-based topological indices from the M-polynomial. We measured topological indices such as atom-bond connectivity, geometric arithmetic, K Banhatti, K hyper Banhatti, modified K Banhatti and harmonic K Banhatti by using M-polynomial approach.

Graphical Abstract

Keywords

References

[1] D. Afzal, S. Hussain, M. Aldemir, M. Farahani, F. Afzal, Eurasian Chem. Commun., 2020, 2, 1117-1125. [crossref], [Google Scholar], [Publisher]

[2] F. Afzal, S. Hussain, D. Afzal, S. Hameed. Open Chem., 2020, 18, 1362-1369. [crossref], [Google Scholar], [Publisher]

[3] F. Afzal, S. Hussain, D. Afzal, S. Razaq. J. Inf. Opt. Sci., 2020, 41, 1061-1076. [crossref], [Google Scholar], [Publisher]

[4] M. Cancan, D. Afzal, S. Hussain, A. Maqbool, F. Afzal. J. D. Math. Sci. Cryp., 2020, 23, 1157-1171. [crossref], [Google Scholar], [Publisher]

[5] M. Cancan, S. Ediz, H. Mutee-Ur-Rehman, D. Afzal, J. Inf. Opt. Sci., 2020, 41, 1117-1131. [crossref], [Google Scholar], [Publisher]

[6] A.J.M. Khalaf, S. Hussain, D. Afzal, F. Afzal, A. Maqbool. J. D. Math. Sci. Cryp., 2020, 23, 1217-1237. [crossref], [Google Scholar], [Publisher]

[7] D.Y. Shin, S. Hussain, F. Afzal, C. Park, D. Afzal, M.R. Farahani, Front. Chem., 2021, 8, 613873- 613877. [crossref], [Google Scholar], [Publisher]

[8] M. Cancan, S. Ediz, M.R. Farahani, Eurasian Chem. Commun., 2020, 2, 641-645. [crossref], [Google Scholar], [Publisher]

[9] A.Q. Baig, M. Naeem, W. Gao, J.B. Liu, Eurasian Chem. Commun., 2020, 2, 634-640. [crossref], [Google Scholar], [Publisher]

[10] F. Afzal, M.A. Razaq, D. Afzal, S. Hameed, Eurasian Chem. Commun., 2020, 2, 652-662. [crossref], [Google Scholar], [Publisher]

[11] M. Alaeiyan, C. Natarajan, G. Sathiamoorthy, M.R. Farahani, Eurasian Chem. Commun., 2020, 2, 646-651. [crossref], [Google Scholar], [Publisher]

[12] H. Yang, X. Zhang, J. D. Math. Sci. Cryp., 2018, 21, 1495-1507. [crossref], [Google Scholar], [Publisher]

[13] M. Imran, S.A. Bokhary, S. Manzoor, M.K. Siddiqui, Eurasian Chem. Communm., 2020, 2, 680-687. [crossref], [Google Scholar], [Publisher]

[14] Z. Ahmad, M. Naseem, M.K. Jamil, Sh. Wang, M.F. Nadeem, Eurasian Chem. Commun., 2020, 2, 712-721. [crossref], [Google Scholar], [Publisher]

[15] M.R. Farahani, Acta Chim. Slov., 2012, 59, 965-968.

[16] Z. Shao, A.R Virk, M.S Javed, M.A Rehman, M.R. Farahani. Eng. Appl. Sci. Lett., 2019,2, 01-11. [crossref], [Google Scholar], [Publisher]

[17] M.R. Farahani, World Appl. Sci. J., 2012, 20, 1248-1251. [crossref], [Google Scholar], [Publisher]

[18] H. Siddiqui, M.R. Farahani, Open J. Math. Anal., 2017, 1, 44-59. [crossref], [Google Scholar], [Publisher]

[19] M.R. Farahani, Int. J. Theor.l Chem., 2013, 1, 01-09.

[20] M.R. Farahani. Chem. Phys. Res, J., 2013, 6, 27-33.

[21] M.R. Farahani, W. Gao. J. Chem. Pharma. Res., 2015, 7, 535-539.

[22] M.R. Farahani. J. Chem. Acta, 2013, 2, 22-25.

[23] W. Gao, M.R. Farahani. J. Nanotech., 2016, 2016, 1-6. [crossref], [Google Scholar], [Publisher]

[24] H. Yang, A.Q. Baig, W. Khalid, M.R. Farahani, X. Zhang. J. Chem., 2019, 2019, 1-9. [crossref], [Google Scholar], [Publisher]

[25] M. Ajmal, W. Nazeer, M. Munir, S.M. Kang, C.Y. Jung, Int. J. Math. Anal., 2017, 11, 293-303. [crossref], [Google Scholar], [Publisher]

[26] C.-W. Chang, M.-L. Chia, C.-J. Hsu, D. Kuo, L.-L. Lai, F.-H. Wang, Discret Appl. Math., 2012, 160, 479-487. [crossref], [Google Scholar], [Publisher]

[27] S.-H. Chiang, J.-H. Yan, Discrete Appl. Math., 2008, 156, 2867-2881. [crossref], [Google Scholar], [Publisher]

[28] L. Deming, L. Mingju, Adv. Math, 2011, 40, 697-708. [Google Scholar]

[29] E. Deutsch, S. Klavžar, Iran. J. Math. Chem., 2015, 6, 93-102. [crossref], [Google Scholar], [Publisher]

[30] E. Deutsch, J.A. Rodriguez-Velazquez, Int. J. Comb., 2014, 2014, 1-5. [crossref], [Google Scholar], [Publisher]

[31] S. Gravier, M. Mollard, Discrete Appl. Math., 1997, 80, 247-250. [crossref], [Google Scholar], [Publisher]

[32] S.M. Kang, W. Nazeer, W. Gao, D. Afzal, S.N. Gillani, Open Chem., 2018, 16, 201-213. [crossref], [Google Scholar], [Publisher]

[33] D. Kuo, J.-H. Yan, Discrete Math., 2004, 283, 137-144. [crossref], [Google Scholar], [Publisher]

[34] Y.L. Lai, C.S. Tian, T.C. Ko, Electron. Notes Discret. Math., 2005,22, 439-444. [crossref], [Google Scholar], [Publisher]

[35] S. Patel, D. Ng, M.S. Mannan, Ind. Eng. Chem. Res., 2009, 48, 7378-7387. [crossref], [Google Scholar], [Publisher]

[36] M. Siddiqui, M. Naeem, N. Rahman, M. Imran, J. Optoelectron. Adv. Mater., 2016, 18, 884-892.

[37] D.B. West, Introduction of Graph Theory, New Jersey: Prentice-Hall, 2001.

[38] H. Wiener, J. Am. Chem. Soc., 1947, 69, 17-20. [crossref], [Google Scholar], [Publisher]

Eurasian Chemical Communications

Topological indices of the system of generalized prisms via M-Polynomial approach

References

References

Volume 3, Issue 5
May 2021
Pages 296-300

Topological indices of the system of generalized prisms via M-Polynomial approach

References

References

Volume 3, Issue 5May 2021Pages 296-300

Volume 3, Issue 5
May 2021
Pages 296-300