Sharp Bounds for the General Randi c Index

By Xueliang Li, Yiting Yang. 2003

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A Survey on the Randic Index (2008, background): “23 ([55]) Let G be a graph of order n, containing no isolated vertices.”
Vertex-Degree-Based Topological Indices Over Graphs (2014, methodology): “1, we can now complete the extremal values of Rt over Gn, for all t ∈ R ([11],[13] and [14]).”
On the normalized Laplacian energy and general Randić index R-1 of graphs (2010, background): “Li and Yang [16] provide bounds on R −1 (G) given strictly in terms of the order of G. Note that the length of a path is the number of edges that the path uses.”