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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| Main Authors: | , , |
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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/ http://match.pmf.kg.ac.rs/content71n2.htm |
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| Institution: | Universiti Putra Malaysia |
| Summary: | 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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