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,...
| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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Springer
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/60421/ http://psasir.upm.edu.my/id/eprint/60421/1/The%20atom%20bond%20connectivity%20index%20of%20some%20trees%20and%20bicyclic%20graphs.pdf |
| _version_ | 1848854191079948288 |
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| author | Mohammed, Mohanad Ali Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad Md. Said, Mohamad Rushdan Hasni @ Abdullah, Roslan |
| 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 |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T11:05:56Z |
| format | Conference or Workshop Item |
| id | upm-60421 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:05:56Z |
| publishDate | 2015 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | The atom bond connectivity index of some trees and bicyclic graphs |
| title_sort | atom bond connectivity index of some trees and bicyclic graphs |
| url | http://psasir.upm.edu.my/id/eprint/60421/ http://psasir.upm.edu.my/id/eprint/60421/ http://psasir.upm.edu.my/id/eprint/60421/1/The%20atom%20bond%20connectivity%20index%20of%20some%20trees%20and%20bicyclic%20graphs.pdf |