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.
Keywords
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-981-10-2772-7_24
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-2770-3
Online ISBN: 978-981-10-2772-7
eBook Packages: EducationEducation (R0)