Document Type : Original Research Article


1 Department of Mathematics, University of Colombo, Colombo 03, Sri Lanka

2 Department of Mathematics, University of Colombo, Colombo 03, Sri Lanka University of Colombo


In this research, we derived the formulae for the atom-bond connectivity (ABC) index and the geometric-arithmetic (GA) index of several corona products of graphs made by composing the path, the cycle and the complete graphs. Relevant mathematical results were presented with proofs, indicating the possibility of predicting physicochemical properties of several molecular graphs.

Graphical Abstract

On the ABC and GA indices of the corona products of some graphs


Main Subjects

[1] M. Cancan, S. Ediz, M.R. Farahani, Eurasian Chem. Commun., 2020, 2, 641-645. [crossref], [Google Scholar], [Publisher]  
[2] E. Estrada, L. Torres, L. Rodriguez, I. Gutman, Indian J. Chem., 1998, 37, 849-855. [crossref], [Google Scholar], [Publisher]  
[3] I. Gutman, Croat. Chem. Acta, 2013, 86, 351-361. [crossref], [Google Scholar], [Publisher]  
[4] M.H. Khaliteh, Y. Hassan, A.R. Ashrafi, Comput. Math. Appl., 2008, 56, 1402-1407. [crossref], [Google Scholar], [Publisher]  
[5] S. Liu, X. Feng, J. Ou, Int. J. Contemp. Math. Sciences, 2014, 9, 403-409. [crossref], [Google Scholar], [Publisher]  
[6] M.A. Mohammed, H.H. Mushatet, N. De, Eurasian Chem. Commun., 2020, 2, 1059-1063. [crossref], [Google Scholar], [Publisher]  
[7] K. Pattabiraman, P. Paulraja, Discret. Appl. Math., 2012, 160, 267-279. [crossref], [Google Scholar], [Publisher]  
[8] M. Randić, MATCH Commun. Math. Comput. Chem., 2008, 59, 5-124. [crossref], [Google Scholar], [Publisher]  
[9] D. Vukičević B. Furtula, J. Math. Chem., 2009, 46, 1369-1376. [crossref], [Google Scholar], [Publisher]  
[10] H. Wiener, J. Am. Chem. Soc., 1947, 69, 17-20. [crossref], [Google Scholar], [Publisher]  
[11] I.G. Yero, D. Kuziak, J.A. Rodríguez-Velázquez, Comput. Math. Appl., 2011, 61, 2793-2798. [crossref], [Google Scholar], [Publisher
[12] B. Zhou, R. Xing, Z. Naturforsch. A, 2011, 66, 61-66. [crossref], [Google Scholar], [Publisher]