Web of Science (Emerging Sources Citation Index)

Document Type : Original Research Article


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.


The 2-degree of a vertex v of a simple graph G is the number of vertices which are at distance two from v in G and is denoted by d2(v). In this article, we compute exact values of a recent eccentricity-based topological index called Leap eccentric connectivity index (LECI), which is defined as the sum of product of 2-degree and eccentricity of every vertex in G, for some special classes of thorny graphs namely, thorny complete graph, thorny complete bipartite graph, thorny cycles and thorny paths. Also we discuss some of its applications in chemical structures such as cyclo-alkanes.

Graphical Abstract

On leap eccentric connectivity index of thorny graphs


Main Subjects

[1] A. Jalil, M. Khalaf, H.K. Aljanabiy, H.A. Wasi, J. Eng. App. Sci., 2018, 13, 2266-2273.

[2] A. Ali, N. Trinajstić, Mol. Inform, 2018, 37, 1-8.

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

[4] I. Gutman, E. Milovanovic, I. Milovanovic, AKCE J. Graph. Combin., 2018, available online.

[5] R.S. Haoer, K.A. Atan, M.R.M. Said, A.M. Khalaf, R. Hasni, J. Comput. Theor. Nanosci., 2016, 13, 1546-1955.

[6] R.S. Haoer, M.A. Mohammed, T. Selvarasan, N. Chidambaram, N. Devadoss, Eurasian Chem. Commun., 2020, 2, 841-846.

[7] H.R. Manjunathe, A.M. Naji, P. Shiladhar, N.D. Soner, Int. J. Res. Anal. Rev., 2019, 6, 882-887.

[8] M.A. Mohammed, K.A. Atan, A.M. Khalaf, R.  Hasni, M.R.M. Said, J. Comput. Theor. Nanosci., 2016, 13, 1-9.

[9] A.M. Naji, N.D. Soner, I. Gutman, Commun. Comb. Optim., 2017, 2, 99-117.

[10] A.M. Naji, P. Shiladhar, N.D. Soner, Iranian J. Math. Sci. Inf. Commun., Under Review.

[11] C. Natarajan, S.K. Ayyaswamy, D. Sarala, S. Balachandran,P. Natl. A Sci. India. A., 2020, Published online:https://link.springer.com/article/10.1007%2Fs40010-020-00671-3

[12] N. Idrees, M.J. Saif, A. Rauf, S. Mustafa, Symmetry, 2017, 9, 2-9.

[13] N. De, S.M.A. Nayeem, A. Pal, Annals Pur. Appl. Math, 2014, 7, 59-64.

[14] N. De, A. Pal, S.M.A. Nayeem, Int. J. Comput. Math, 2014, http://dx.doi.org/10.1155/2014/436140.

[15] S. Swathi, C. Natarajan, K. Balasubramanian, M. Swathi, Int. J. Inn. Tech. Exp. Eng., 2019, 8, 3170-3175.

[16] Y.B. Venkatakrishnan, S. Balachandran, K. Kannan, Nati. Acad. Sci. Let, 2015, 38, 165 – 168.