Connected \((n,m)\)-graphs with minimum and maximum zeroth-order general Randić index
Let \(G\) be a graph and \(d(v)\) denote the degree of vertex \(v\) in \(G\). Then the zeroth-order general Randić index \({}^0R_\alpha(G)\) of \(G\) is defined as \(\sum_{v\in V(G)}d(v)^\alpha\), where \(\alpha\) is a pertinently chosen real number. For any \(\alpha\), the connected \((n,m)\)-graphs with minimum and maximum \({}^0R_\alpha\) are characterized.
scientific article; zbMATH DE number 5159566
scientific article