Abstract
Let G be a simple connected molecular graph. The eccentric connectivity index \( \upxi(G) \) is defined as \( \xi (G) = \mathop \sum \nolimits_{v\epsilon V(G)} { \text{deg} } (v)\,\text{ec}(v) \), where \( { \text{deg} }(v) \) denotes the degree of vertex v and \( {\text{ec}}(v) \) is the largest distance between v and any other vertex \( u\,\epsilon\, G. \) In this paper, we establish the general formulas for the eccentric connectivity index of molecular graphs of cycloalkenes.
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References
Sharma, V., Goswami, R., Madan, A.K.: Eccentric connectivity index: a novel highly discriminating topological descriptor for structure-property and structure-activity studies. J. Chem. Inf. Model. 37, 273–282 (1997)
Dureja, H., Madan, A.K.: Topochemical models for prediction of cyclindependent kinase 2 inhibitory activity of indole-2-ones. J. Mol. Model. 11, 525–531 (2005)
Dureja, H., Madan, A.K.: Topochemical models for the prediction of permeability through blood-brain barrier. Int. J. Pharm. 323, 27–33 (2006)
Ashrafi, A.R., Saheli, M., Ghorbani, M.: The eccentric connectivity index of nanotubes and nanotori. J. Comput. Appl. Math. (2010)
Morgan, M.J., Mukwembi, S., Swart, H.C.: On the eccentric connectivity index of a graph. Disc. Math. (2010)
Ilic, A., Gutman, I.: Eccentric connectivity index of chemical trees. MATCH Commun. Math. Comput. Chem. 65, 731–744 (2011)
Yang, J., Xia, F.: The eccentric connectivity index of dendrimers. Int. J. Contemp. Math. 5(45), 2231–2236 (2010)
Zhang, L., Hua, H.: The eccentric connectivity index of unicyclic graphs. Int. J. Contemp. Math. 5(46), 2257–2262 (2010)
Dureja, H., Gupta, S., Madan, A.K.: Predicting anti-HIV-1 activity of 6-arylbenzonitriles: computational approach using superaugmented eccentric connectivity topochemical indices. J. Mol. Graph. Model. 26, 1020–1029 (2008)
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Haoer, R.S., Atan, K.A., Khalaf, A.M., Said, M.R.M., Hasni, R. (2017). Eccentric Connectivity Index of Certain Classes of Cycloalkenes. In: Ahmad, AR., Kor, L., Ahmad, I., Idrus, Z. (eds) Proceedings of the International Conference on Computing, Mathematics and Statistics (iCMS 2015). Springer, Singapore. https://doi.org/10.1007/978-981-10-2772-7_24
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DOI: https://doi.org/10.1007/978-981-10-2772-7_24
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