Web of Science (Emerging Sources Citation Index)

Document Type: Original Research Article

Authors

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

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

3 Department of Mathematics, COMSATS Institute of Information Technology, Attock, Pakistan

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

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

Abstract

In this paper, the 1st and 2nd Zagreb polynomials and the forgotten polynomial of Cm×Cn were computed. Some degree-based topological indices such as 1st and 2nd multiple Zagreb indices, Hyper Zagreb index and the forgotten index or F-index of the given networks were also computed. In addition, we represented the outcome by graphical representation that describe the dependence of topological indices on the given parameters of polynomial structures.

Graphical Abstract

Keywords

Main Subjects

[1] D. Amic, D. Beslo, B. Lucic, S. Nikolic, N. Trinajstić, J. Chem. Inf. Comput. Sci., 1998, 38, 819-822.

[2] M. Ajmal, W. Nazeer, M. Munir, S.M. Kang, Y.C. Kwun, Symmetry, 2017, 9, 1-12.

[3] M. Ajmal, W. Nazeer, M. Munir, S.M. Kang, Y.C. Kwun, Int. J. Math. Analysis., 2017, 11, 293-303.

[4] B. Furtula, I. Gutman, J. Math. Chem., 2015, 53, 1184-1190.

[5] I. Gutman, N. Trinajstić, Chem. Phys. Lett., 1972, 17, 535-538.

[6] S. Hayat, M. Imran, App. Math. and Comput., 2014, 240, 213-228.

[7] S. Klavžar, I. Gutman, J. Chem. Inf. Comput. Sci., 1996, 36, 1001-1003.

[8] J.B. Liu, X.F. Pan, Appl. Math. Comput., 2016, 291, 84-88.

[9] J.B. Liu, W.R. Wang, Y.M. Zhang, X.F. Pan, Discrete Appl. Math., 2016, 203, 217-225.

[10] J.B. Liu, X.F. Pan, L. Yu, D. Li, Discrete Appl. Math., 2016, 200, 95-107.

[11] J. Liu, B. Liu, MATCH Commun. Math. Comput. Chem., 2008, 59, 397-419.

[12] J. B. Liu, X.F. Pan, F.T. Hu, F.F. Hu, Appl. Math. Comput., 2015, 253, 205-214.

[13] M. Munir, W. Nazeer, S. Rafique, A.R. Nizami, S.M. Kang, Symmetry, 2016, 8, 117-125.

[14] M. Munir, W. Nazeer, S. Rafique, A.R. Nizami, S.M. Kang, Symmetry, 2016, 8, 149-156.

[15] A.Q. Baig, M. Imran, H. Ali, Can. J. Chem., 2015, 93, 730739.

[16] A.Q. Baig, M. Imran, W. Khalid, M. Naeem, Can. J. Chem., 2017, 95, 674686.

[17] M. Randić, J. Am. Chem. Soc., 1975, 97, 6609-6615.

[18] H. Wiener, J. Amer. Chem. Soc., 1947, 69, 17-20.

[19] F. Afzal, S. Hussain, D. Afzal, S. Razaq, J. Inf. Opt. Sci., 2020, 41, 1061–1076.

[20] M. Cancan, S. Ediz, H. Mutee-Ur-Rehman, D. Afzal., J. Inf. Opt. Sci., 2020, 41, 1117-1131.

[21] M. Cancan, S. Ediz, M.R. Farahani, Eurasian Chem. Commun., 2020, 2, 641-645.

[22] A.Q. Baig, M. Naeem, W. Gao, J.B. Liu, Eurasian Chem. Commun., 2020, 2, 634-640.

[23] F. Afzal, M.A. Razaq, D. Afzal, S. Hameed, Eurasian Chem. Commun., 2020, 2, 652-662.

[24] M. Alaeiyan, C. Natarajan, G. Sathiamoorthy, M.R. Farahani, Eurasian Chem. Commun., 2020, 2, 646-651.

[25] H. Yang, X. Zhang, J. D. Math. Sci. and Cryp., 2018, 21, 1495-1507.

[26] M. Imran, S.A. Bokhary, S. Manzoor, M.K. Siddiqui. Eurasian Chem. Communm., 2020, 2, 680-687.

[27] Z. Ahmad, M. Naseem, M.K. Jamil, Sh. Wang, M.F. Nadeem, Eurasian Chem. Commun.,2020, 2, 712-721.

[28] Z. Ahmad, M. Naseem, M.K. Jamil, M.K. Siddiqui, M.F. Nadeem. Eurasian Chem. Commun., 2020, 2, 663-671.

[29] M. Cancan, S. Ediz, M.R. Farahani, Eurasian Chem. Commun., 2020, 2, 641-645.

[30] A.Q. Baig, M. Naeem, W. Gao, J.B. Liu, Eurasian Chem. Commun., 2020, 2, 634-640.

[31] F. Afzal, M.A. Razaq, D. Afzal, S. Hameed, Eurasian Chem. Commun., 2020, 2, 652-662.