The multiplicative version of the edge Wiener index
The multiplicative Wiener index π, which was introduced by Ivan Gutman et al. in [5], is a molecular structure descriptor equal to the product of the distances between all pairs of vertices of the underlying molecular graph G. Also, Iranmanesh et al. in [7], introduced the edge-Wiener index of a gra...
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| Format: | Article |
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University of Kragujevac
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/35758/ |
| _version_ | 1848848143670575104 |
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| author | Soltani, Abolghasem Iranmanesh, Ali Abdul Majid, Zanariah |
| author_facet | Soltani, Abolghasem Iranmanesh, Ali Abdul Majid, Zanariah |
| author_sort | Soltani, Abolghasem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The multiplicative Wiener index π, which was introduced by Ivan Gutman et al. in [5], is a molecular structure descriptor equal to the product of the distances between all pairs of vertices of the underlying molecular graph G. Also, Iranmanesh et al. in [7], introduced the edge-Wiener index of a graph. It obtains in term of the distances between all pairs of edges set of a graph. We define a new index called the multiplicative edge-Wiener index that is equal to product of distance between all pairs of edges set of a graph G. Moreover, we compute this index for some well- known graphs and we consider its relation to the edge-Wiener index in alkanes, as well.
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| first_indexed | 2025-11-15T09:29:49Z |
| format | Article |
| id | upm-35758 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T09:29:49Z |
| publishDate | 2014 |
| publisher | University of Kragujevac |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-357582016-02-15T04:58:25Z http://psasir.upm.edu.my/id/eprint/35758/ The multiplicative version of the edge Wiener index Soltani, Abolghasem Iranmanesh, Ali Abdul Majid, Zanariah The multiplicative Wiener index π, which was introduced by Ivan Gutman et al. in [5], is a molecular structure descriptor equal to the product of the distances between all pairs of vertices of the underlying molecular graph G. Also, Iranmanesh et al. in [7], introduced the edge-Wiener index of a graph. It obtains in term of the distances between all pairs of edges set of a graph. We define a new index called the multiplicative edge-Wiener index that is equal to product of distance between all pairs of edges set of a graph G. Moreover, we compute this index for some well- known graphs and we consider its relation to the edge-Wiener index in alkanes, as well. University of Kragujevac 2014 Article PeerReviewed Soltani, Abolghasem and Iranmanesh, Ali and Abdul Majid, Zanariah (2014) The multiplicative version of the edge Wiener index. MATCH Communications in Mathematical and in Computer Chemistry, 71 (2). pp. 407-416. ISSN 0340-6253 http://match.pmf.kg.ac.rs/content71n2.htm |
| spellingShingle | Soltani, Abolghasem Iranmanesh, Ali Abdul Majid, Zanariah The multiplicative version of the edge Wiener index |
| title | The multiplicative version of the edge Wiener index |
| title_full | The multiplicative version of the edge Wiener index |
| title_fullStr | The multiplicative version of the edge Wiener index |
| title_full_unstemmed | The multiplicative version of the edge Wiener index |
| title_short | The multiplicative version of the edge Wiener index |
| title_sort | multiplicative version of the edge wiener index |
| url | http://psasir.upm.edu.my/id/eprint/35758/ http://psasir.upm.edu.my/id/eprint/35758/ |