Eccentric connectivity index of some chemical trees
Let G = (V, E) be a simple connected molecular graph. In such a simple molecular graph, vertices represent atoms and edges represent chemical bonds, we denoted the sets of vertices and edges by V(G) and E(G), respectively. If d(u, v) be the notation of distance between vertices u, v ε V(G) and is de...
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| Format: | Article |
| Language: | English |
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Academic Publications
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/55583/1/Eccentric%20connectivity%20index%20of%20some%20chemical%20trees.pdf |
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| author | Haoer, R. S. Mohd Atan, Kamel Ariffin Khalaf, A. M. Md. Said, Mohamad Rushdan Hasni, Roslan |
| author_facet | Haoer, R. S. Mohd Atan, Kamel Ariffin Khalaf, A. M. Md. Said, Mohamad Rushdan Hasni, Roslan |
| author_sort | Haoer, R. S. |
| collection | UPM |
| description | Let G = (V, E) be a simple connected molecular graph. In such a simple molecular graph, vertices represent atoms and edges represent chemical bonds, we denoted the sets of vertices and edges by V(G) and E(G), respectively. If d(u, v) be the notation of distance between vertices u, v ε V(G) and is defined as the length of a shortest path connecting them. Then, the eccentricity connectivity index of a molecular graph G is defined as ζ(G) = Σ vεv(G) deg(v)ec(v), where deg(v) is degree of a vertex v ε V(G), and is defined as the number of adjacent vertices with v. ec(v) is eccentricity of a vertex v ε V(G), and is defined as the length of a maximal path connecting to another vertex of v. In this paper, we establish the general formulas for the eccentricity connectivity index of some classes of chemical trees. |
| first_indexed | 2024-03-06T09:23:51Z |
| format | Article |
| id | upm.eprints-55583 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:23:51Z |
| publishDate | 2016 |
| publisher | Academic Publications |
| record_format | dspace |
| spelling | upm.eprints-555832017-08-14T03:49:13Z http://psasir.upm.edu.my/id/eprint/55583/ Eccentric connectivity index of some chemical trees Haoer, R. S. Mohd Atan, Kamel Ariffin Khalaf, A. M. Md. Said, Mohamad Rushdan Hasni, Roslan Let G = (V, E) be a simple connected molecular graph. In such a simple molecular graph, vertices represent atoms and edges represent chemical bonds, we denoted the sets of vertices and edges by V(G) and E(G), respectively. If d(u, v) be the notation of distance between vertices u, v ε V(G) and is defined as the length of a shortest path connecting them. Then, the eccentricity connectivity index of a molecular graph G is defined as ζ(G) = Σ vεv(G) deg(v)ec(v), where deg(v) is degree of a vertex v ε V(G), and is defined as the number of adjacent vertices with v. ec(v) is eccentricity of a vertex v ε V(G), and is defined as the length of a maximal path connecting to another vertex of v. In this paper, we establish the general formulas for the eccentricity connectivity index of some classes of chemical trees. Academic Publications 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/55583/1/Eccentric%20connectivity%20index%20of%20some%20chemical%20trees.pdf Haoer, R. S. and Mohd Atan, Kamel Ariffin and Khalaf, A. M. and Md. Said, Mohamad Rushdan and Hasni, Roslan (2016) Eccentric connectivity index of some chemical trees. International Journal of Pure and Applied Mathematics, 106 (1). pp. 157-170. ISSN 1311-8080; ESSN: 1314-3395 http://www.ijpam.eu/contents/2016-106-1/12/12.pdf 10.12732/ijpam.v106i1.12 |
| spellingShingle | Haoer, R. S. Mohd Atan, Kamel Ariffin Khalaf, A. M. Md. Said, Mohamad Rushdan Hasni, Roslan Eccentric connectivity index of some chemical trees |
| title | Eccentric connectivity index of some chemical trees |
| title_full | Eccentric connectivity index of some chemical trees |
| title_fullStr | Eccentric connectivity index of some chemical trees |
| title_full_unstemmed | Eccentric connectivity index of some chemical trees |
| title_short | Eccentric connectivity index of some chemical trees |
| title_sort | eccentric connectivity index of some chemical trees |
| url | http://psasir.upm.edu.my/id/eprint/55583/1/Eccentric%20connectivity%20index%20of%20some%20chemical%20trees.pdf |
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