Web of Science (Emerging Sources Citation Index), ISC

Document Type : Original Research Article

Authors

1 Department of Mathematics, Open Educational College, Ministry of Education, Al-Qadisiya Centre, Iraq

2 Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed University, Kumbakonam, Tamil Nadu, India

10.33945/SAMI/ECC.2020.7.10

Abstract

The 2-degree of a vertex v in a (molecular) graph G is the number of vertices which are at distance two from v in G. The F-leap index of a molecular graph G is the sum of cubes of the 2-degree of every vertex v in G. In this research study, we have computed the F-leap index of some special classes of bridges and chain graphs. We also have determined the F-leap index of some chemical structures including polyphenyl chains and spiro chains.

Graphical Abstract

F-leap index of some special classes of bridge and chain graphs

Keywords

Main Subjects

[1] M. Azari, A. Iranmanesh, I. Gutman, MATCH Commun. Math. Comput. Chem., 2013, 70, 921-938.
[2] J. Devillers, A.T. Balaban, Eds., Gordon and Breach, 1999, Amstersam, the Netherlands.
[3] F. Afzal, M.A. Razaq, D. Afzal, S. Hameed, Eurasian Chem. Commun., 2020, 2(6), 652-662.
[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] V.R. Kulli, Int. J. Math. Archive, 2018, 9, 41-49.
[7] A.M. Naji, N.D. Soner, I. Gutman, Commun. Comb. Optim, 2017, 2, 99-117.
[8] N. De, Mal. J. Fund. Appl. Sci. 2016, 4, 109-113.
[9] Z. Shao, I. Gutman, Z. Li, S. Wang, Pu Wu, Commun. Comb. Optim, 2018, 3, 179-194.
[10] X. Zhang, H.Q. Jiang, J.B. Liu, Z.H. Shao, Molecules, 2018, 23, 1731-. DOI: 10.3390/molecules23071731
[11] M. Alaeiyan, C. Natarajan, G. Sathiamoorthy, M.R. Farahani, Eurasian Chem. Communm., 2020, 2, 646-651.
[12] H. Yang, X. Zhang, J. Dis. Math. Sci. Crypt.  2018, 21, 1495-1507.
[13] M. Imran, S.A. Bokhary, S. Manzoor, M.K. Siddiqui. Eurasian Chem. Communm., 2020, 2, 680-687.
[14] Z. Ahmad, M. Naseem, M.K. Jamil, Sh. Wang, M.F. Nadeem, Eurasian Chem. Commun., 2020, 2,712-721.
[15] Z. Ahmad, M. Naseem, M.K. Jamil, M.K. Siddiqui, M.F. Nadeem. Eurasian Chem. Commun., 2020, 2, 663-671
[16] M. Cancan, S. Ediz, M.R. Farahani, Eurasian Chem. Commun., 2020, 2, 641-645.
[17] A.Q. Baig, M. Naeem, W. Gao, J.B. Liu, Eurasian Chem. Commun., 2020, 2, 634-640.