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 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

The aim of this article was to compute weighted entropy of some well-known nanostructure HAC5C7[p;q]. We applied probability density function to formulate entropy by taking different topological indices as edge weights for example Zagreb indices, modified Zagreb indices, augmented Zagreb index and Randić index. Using edge division of nanotube, we computed the stated entropies.

Graphical Abstract

Weighted entropies of HAC5C7[p;q] nanotube

Keywords

Main Subjects

[1] B.Y. Yang, Y.N. Yen, Adv. Appl. Math., 1995, 16,72-94.

[2] C.E. Shannon, W. Weaver, Univ. Illinois Press, Urbana., 1949, 17.

[3] E. Trucco, Bull. Math. Biol., 1965,18129135.

[4] K. Xu, K.C. Das, S. Balachandran, MATCH Commun. Math. Comput. Chem., 2014,72, 641-654.

[5] M.M. Dehmer, N.N. Barbarini, K.K. Varmuza, A.A. Graber, BMC Structural Bio., 2010, 10,18-34.

[6] N.P. Rao, P.A. Laxmi, Appl. Sci., 2008,2,2443-2457.

[7] N. Rashevsky, Bull. Math. Biophys., 1955, 17, 229235.                          

[8] S. Ji, X. Li, B. Huo, MATCH Commun. Math. Comput. Chem., 2014,72,723-732.

[9] Y. Huo, J.B. Liu, S. Ahmad, N. Farah, U. Ahmad, M.R. Farahani, M. Imran, J. Comput. Theor. Nanosci., 2016, 13, 9158–9161.

[10] M.R. Farahani, Int. J. Engineering Technology Research., 2015,3, 1-6.

[11] M.R. Farahani, Int. J. Nanosci. Nanotechnol., 2012, 8, 175-180.

[12] M.R. Farahani, Alg. Goup. Geomet., 2012, 29, 415-422.

[13] M.R. Farahani, Chem. Phys. Res. J., 2013, 6, 21-26.

[14] M.R. Farahani, Int. J. Chemical Modeling. 2013, 5, 127-132.

[15] M.R. Farahani, Int. Lett. Chem. Phys. Astronomy., 2014,12, 56-62.

[16] M.R. Farahani, Chem. Phys. Res. J., 2013, 6, 35-40.

[17] M.R. Farahani, Adv. Mater. Corros., 2013, 2, 33-35.

[18] Y.F. Li, L. Yan, M.K. Jamil, M.R. Farahani, W. Gao, J.-B. Liu, J. Comput. Theor. Nanosci., 2017, 14, 796–799.

[19] M.K. Jamil, A. Javed, W. Nazeer, M.R. Farahani, Y.Y. Gao, Comm. Math.  App., 2017, 9, 99–105.

[20] M.R. Farahani, Y.Y. Gao, W. Sajjad, A.Q. Baig, J. Progress. Res. Math., 2017, 12, 2090-2095.

[21] F. Deng, X. Zhang, M. Alaeiyan, A. Mehboob, M.R. Farahani, Adv. Mater. Sci. Eng., 2019, 2019, 1-12.

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

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

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

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

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

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

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

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

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

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

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

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

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