Eccentric connectivity index of chemical trees
Let G = (V, E) be a simple connected molecular graph. In such a simple molecular graph, vertices and edges are depicted atoms and chemical bonds respectively; we refer to the sets of vertices by V (G) and edges by E (G). If d(u, v) be distance between two vertices u, v ∈ V(G) and can be defined as t...
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/55582/ http://psasir.upm.edu.my/id/eprint/55582/1/Eccentric%20connectivity%20index%20of%20chemical%20trees.pdf |
| _version_ | 1848852842687758336 |
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| author | Haoer, Raad Sehen Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad Md. Said, Mohamad Rushdan Hasni @ Abdullah, Roslan |
| author_facet | Haoer, Raad Sehen Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad Md. Said, Mohamad Rushdan Hasni @ Abdullah, Roslan |
| author_sort | Haoer, Raad Sehen |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Let G = (V, E) be a simple connected molecular graph. In such a simple molecular graph, vertices and edges are depicted atoms and chemical bonds respectively; we refer to the sets of vertices by V (G) and edges by E (G). If d(u, v) be distance between two vertices u, v ∈ V(G) and can be defined as the length of a shortest path joining them. Then, the eccentricity connectivity index (ECI) of a molecular graph G is ξ(G) = ∑v∈V(G) d(v) ec(v), where d(v) is degree of a vertex v ∈ V(G). ec(v) is the length of a greatest path linking to another vertex of v. In this study, we focus the general formula for the eccentricity connectivity index (ECI) of some chemical trees as alkenes. |
| first_indexed | 2025-11-15T10:44:30Z |
| format | Conference or Workshop Item |
| id | upm-55582 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:44:30Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-555822017-10-17T10:15:28Z http://psasir.upm.edu.my/id/eprint/55582/ Eccentric connectivity index of chemical trees Haoer, Raad Sehen Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad Md. Said, Mohamad Rushdan Hasni @ Abdullah, Roslan Let G = (V, E) be a simple connected molecular graph. In such a simple molecular graph, vertices and edges are depicted atoms and chemical bonds respectively; we refer to the sets of vertices by V (G) and edges by E (G). If d(u, v) be distance between two vertices u, v ∈ V(G) and can be defined as the length of a shortest path joining them. Then, the eccentricity connectivity index (ECI) of a molecular graph G is ξ(G) = ∑v∈V(G) d(v) ec(v), where d(v) is degree of a vertex v ∈ V(G). ec(v) is the length of a greatest path linking to another vertex of v. In this study, we focus the general formula for the eccentricity connectivity index (ECI) of some chemical trees as alkenes. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/55582/1/Eccentric%20connectivity%20index%20of%20chemical%20trees.pdf Haoer, Raad Sehen and Mohd Atan, Kamel Ariffin and Khalaf, Abdul Jalil Manshad and Md. Said, Mohamad Rushdan and Hasni @ Abdullah, Roslan (2016) Eccentric connectivity index of chemical trees. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-6). 10.1063/1.4952523 |
| spellingShingle | Haoer, Raad Sehen Mohd Atan, Kamel Ariffin Khalaf, Abdul Jalil Manshad Md. Said, Mohamad Rushdan Hasni @ Abdullah, Roslan Eccentric connectivity index of chemical trees |
| title | Eccentric connectivity index of chemical trees |
| title_full | Eccentric connectivity index of chemical trees |
| title_fullStr | Eccentric connectivity index of chemical trees |
| title_full_unstemmed | Eccentric connectivity index of chemical trees |
| title_short | Eccentric connectivity index of chemical trees |
| title_sort | eccentric connectivity index of chemical trees |
| url | http://psasir.upm.edu.my/id/eprint/55582/ http://psasir.upm.edu.my/id/eprint/55582/ http://psasir.upm.edu.my/id/eprint/55582/1/Eccentric%20connectivity%20index%20of%20chemical%20trees.pdf |