The atom bond connectivity index of some trees and bicyclic graphs

The atom bond connectivity index of some trees and bicyclic graphs

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,...

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Bibliographic Details
Main Authors: Mohammed, Mohanad Ali, Mohd Atan, Kamel Ariffin, Khalaf, Abdul Jalil Manshad, Md. Said, Mohamad Rushdan, Hasni @ Abdullah, Roslan
Format: Conference or Workshop Item
Language:English
Published: Springer 2015
Online Access:http://psasir.upm.edu.my/id/eprint/60421/1/The%20atom%20bond%20connectivity%20index%20of%20some%20trees%20and%20bicyclic%20graphs.pdf
http://psasir.upm.edu.my/id/eprint/60421/
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Institution: Universiti Putra Malaysia
Language: English
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Summary: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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