The atom bond connectivity index of some trees and bicyclic graphs

Citation

Mohammed, Mohanad Ali and Mohd Atan, Kamel Ariffin and Khalaf, Abdul Jalil Manshad and Md. Said, Mohamad Rushdan and Hasni @ Abdullah, Roslan (2015) The atom bond connectivity index of some trees and bicyclic graphs. In: 2nd International Conference on Computing, Mathematics and Statistics (iCMS 2015), 4-5 Nov. 2015, Langkawi, Kedah. (pp. 263-271).

Abstract

The atom bond connectivity (ABC) index is one of the recently most investigated degree-based molecular structure descriptors that have applications in chemistry. For a graph G, the ABC index is defined as ABC(G)=∑uv∈E(G)√dv+du−2/dv⋅du, where d u denotes the degree of a vertex u in G. In this paper, we obtain the general formula for ABC index of some special, chemical trees, and bicyclic graphs.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1007/978-981-10-2772-7_27
Publisher:	Springer
Keywords:	The atom bond connectivity (ABC) index; Bicyclic graphs; Molecular graphs; Chemical tree
Depositing User:	Nabilah Mustapa
Date Deposited:	21 May 2018 03:33
Last Modified:	21 May 2018 03:33
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/978-981-10-2772-7_27
URI:	http://psasir.upm.edu.my/id/eprint/60421
Statistic Details:	View Download Statistic

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