On the sum-connectivity index (Q2853233)
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scientific article; zbMATH DE number 6217183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the sum-connectivity index |
scientific article; zbMATH DE number 6217183 |
Statements
On the sum-connectivity index (English)
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18 October 2013
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Randić index
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triangle-free graph
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The sum-connectivity index is a recent analogue of the famous Randić index, defined as \(R^+(G)=\sum_{uv\in E(G)}(d_u+d_v)^{-1/2}\), where \(d_u\), \(d_v\) are the degrees of the vertices \(u\) and \(v\) of \(G\). The authors derive sharp lower bounds for the sum-connectivity index of general graphs and of triangle-free graphs, respectively.
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