General sum-connectivity index and general Randic index of trees with given maximum degree
Copyright policy )General sum-connectivity index and general Randic index of trees with given maximum degree
Summary: For trees with given number of vertices \(n\) and maximum degree \(\Delta\), we present lower bounds on the general sum-connectivity index \(\chi_a\) if \(a >0\) and \(3 \leq \Delta \leq n -1\), and an upper bound on the general Randić index \(R_a\) if \(-0.283\leq a <0\) and \(3 \leq \Delta \leq \lfloor \frac{n-1}{2}\rfloor\). All the extremal trees for our bounds are given.
- University of the Free State South Africa
Graphical indices (Wiener index, Zagreb index, Randić index, etc.), general sum-connectivity index, Chemical graph theory, maximum degree, general randic index, general Randić index, QA1-939, Vertex degrees, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Mathematics, tree
Graphical indices (Wiener index, Zagreb index, Randić index, etc.), general sum-connectivity index, Chemical graph theory, maximum degree, general randic index, general Randić index, QA1-939, Vertex degrees, Molecular structure (graph-theoretic methods, methods of differential topology, etc.), Mathematics, tree
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