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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主要な著者: Haoer, Raad Sehen, Mohd Atan, Kamel Ariffin, Khalaf, Abdul Jalil Manshad, Md. Said, Mohamad Rushdan, Hasni @ Abdullah, Roslan
フォーマット: Conference or Workshop Item
言語:English
出版事項: AIP Publishing 2016
オンライン・アクセス:http://psasir.upm.edu.my/id/eprint/55582/1/Eccentric%20connectivity%20index%20of%20chemical%20trees.pdf
http://psasir.upm.edu.my/id/eprint/55582/
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spelling my.upm.eprints.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
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 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.
format Conference or Workshop Item
author Haoer, Raad Sehen
Mohd Atan, Kamel Ariffin
Khalaf, Abdul Jalil Manshad
Md. Said, Mohamad Rushdan
Hasni @ Abdullah, Roslan
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
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
title Eccentric connectivity index of chemical trees
title_short 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_sort eccentric connectivity index of chemical trees
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/55582/1/Eccentric%20connectivity%20index%20of%20chemical%20trees.pdf
http://psasir.upm.edu.my/id/eprint/55582/
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