On the atom bond connectivity index of certain trees and unicyclic 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) = Σuvϵ √(du + dv-2) /du/dv, where du denotes the degree of a vertex u in G. In this pape...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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IEEE
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/51900/1/On%20the%20atom%20bond%20connectivity%20index%20of%20certain%20trees%20and%20unicyclic%20graphs.pdf |
| _version_ | 1825930619685699584 |
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| author | Mohammed, Mohanad Ali Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad Hasni @ Abdullah, Roslan |
| author_facet | Mohammed, Mohanad Ali Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad Hasni @ Abdullah, Roslan |
| author_sort | Mohammed, Mohanad Ali |
| collection | UPM |
| 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) = 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. |
| first_indexed | 2024-03-06T09:14:19Z |
| format | Conference or Workshop Item |
| id | upm.eprints-51900 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:14:19Z |
| publishDate | 2015 |
| publisher | IEEE |
| record_format | dspace |
| spelling | upm.eprints-519002018-04-24T07:12:23Z http://psasir.upm.edu.my/id/eprint/51900/ On the atom bond connectivity index of certain trees and unicyclic graphs Mohammed, Mohanad Ali Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad 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) = 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. IEEE 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51900/1/On%20the%20atom%20bond%20connectivity%20index%20of%20certain%20trees%20and%20unicyclic%20graphs.pdf 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). http://ieeexplore.ieee.org/document/7357054/ 10.1109/ICREM.2015.7357054 |
| spellingShingle | Mohammed, Mohanad Ali Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad Hasni @ Abdullah, Roslan On the atom bond connectivity index of certain trees and unicyclic graphs |
| title | On the atom bond connectivity index of certain trees and unicyclic graphs |
| title_full | On the atom bond connectivity index of certain trees and unicyclic graphs |
| title_fullStr | On the atom bond connectivity index of certain trees and unicyclic graphs |
| title_full_unstemmed | On the atom bond connectivity index of certain trees and unicyclic graphs |
| title_short | On the atom bond connectivity index of certain trees and unicyclic graphs |
| title_sort | on the atom bond connectivity index of certain trees and unicyclic graphs |
| url | http://psasir.upm.edu.my/id/eprint/51900/1/On%20the%20atom%20bond%20connectivity%20index%20of%20certain%20trees%20and%20unicyclic%20graphs.pdf |
| work_keys_str_mv | AT mohammedmohanadali ontheatombondconnectivityindexofcertaintreesandunicyclicgraphs AT mohdatankamelariffin ontheatombondconnectivityindexofcertaintreesandunicyclicgraphs AT khalafabduljalilmanshad ontheatombondconnectivityindexofcertaintreesandunicyclicgraphs AT hasniabdullahroslan ontheatombondconnectivityindexofcertaintreesandunicyclicgraphs |