Some properties on the harmonic index of molecular trees (Q469956)
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scientific article; zbMATH DE number 6368361
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties on the harmonic index of molecular trees |
scientific article; zbMATH DE number 6368361 |
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Some properties on the harmonic index of molecular trees (English)
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11 November 2014
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Summary: The harmonic index of a graph \(G\) is defined as the sum of weights \(2/(d(u)+d(v))\) of all edges \(uv\) of \(G\), where \(d(u)\) denotes the degree of the vertex \(u\) in \(G\). In this paper, some general properties of the harmonic index for molecular trees are explored. Moreover, the smallest and largest values of harmonic index for molecular trees with given pendent vertices are provided, respectively.
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