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On the atom bond connectivity index of certain trees and unicyclic graphs


Citation

Mohammed, Mohanad Ali and Mohd Atan, Kamel Ariffin and Khalaf, Abdul Jalil Manshad and Hasni @ Abdullah, Roslan (2015) On the atom bond connectivity index of certain trees and unicyclic graphs. In: 7th International Conference on Research and Education in Mathematics (ICREM7), 25-27 Aug. 2015, Renaissance Kuala Lumpur Hotel, Malaysia. (pp. 205-210).

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) = Σuvϵ √(du + dv-2) /du/dv, where du denotes the degree of a vertex u in G. In this paper, we obtain the general formula of the ABC index for certain trees and unicyclic graphs with their representing by Alkanes and Cycloalkanes.


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Official URL or Download Paper: http://ieeexplore.ieee.org/document/7357054/

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1109/ICREM.2015.7357054
Publisher: IEEE
Keywords: ABC index; Alkanes; Cycloalkanes; Trees; Unicyclic graph
Depositing User: Nabilah Mustapa
Date Deposited: 03 May 2017 04:13
Last Modified: 24 Apr 2018 07:12
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/ICREM.2015.7357054
URI: http://psasir.upm.edu.my/id/eprint/51900
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