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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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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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spelling my.upm.eprints.604212018-05-21T03:33:28Z http://psasir.upm.edu.my/id/eprint/60421/ The atom bond connectivity index of some trees and bicyclic graphs Mohammed, Mohanad Ali Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad Md. Said, Mohamad Rushdan Hasni @ Abdullah, Roslan 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. Springer 2015 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/60421/1/The%20atom%20bond%20connectivity%20index%20of%20some%20trees%20and%20bicyclic%20graphs.pdf 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). 10.1007/978-981-10-2772-7_27
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Conference or Workshop Item
author Mohammed, Mohanad Ali
Mohd Atan, Kamel Ariffin
Khalaf, Abdul Jalil Manshad
Md. Said, Mohamad Rushdan
Hasni @ Abdullah, Roslan
spellingShingle Mohammed, Mohanad Ali
Mohd Atan, Kamel Ariffin
Khalaf, Abdul Jalil Manshad
Md. Said, Mohamad Rushdan
Hasni @ Abdullah, Roslan
The atom bond connectivity index of some trees and bicyclic graphs
author_facet Mohammed, Mohanad Ali
Mohd Atan, Kamel Ariffin
Khalaf, Abdul Jalil Manshad
Md. Said, Mohamad Rushdan
Hasni @ Abdullah, Roslan
author_sort Mohammed, Mohanad Ali
title The atom bond connectivity index of some trees and bicyclic graphs
title_short The atom bond connectivity index of some trees and bicyclic graphs
title_full The atom bond connectivity index of some trees and bicyclic graphs
title_fullStr The atom bond connectivity index of some trees and bicyclic graphs
title_full_unstemmed The atom bond connectivity index of some trees and bicyclic graphs
title_sort atom bond connectivity index of some trees and bicyclic graphs
publisher Springer
publishDate 2015
url 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/
_version_ 1643837354747625472
score 13.211869

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