A new geometric–arithmetic index

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On Vertex–Degree–Based Molecular Structure Descriptors (2011, background): “In the recent years, in mathematical chemistry it became a popular practice to introduce novel molecular structure descriptors (topological indices), see, for instance, [1–20].”
On geometric-arithmetic index (2010, background): “Recently, a new formulation of geometric-arithmetic index was proposed in [ 13 ].”
Relation between second and third geometric–arithmetic indices of trees (2011, methodology): “The second geometric–arithmetic index (GA2) is calculated by the formula [10]:”
Survey on Geometric-Arithmetic Indices of Graphs (2011, background): “For all connected graphs the following inequality is true [24]: GA2(G) ≤ 1 2 PIv(G)”
Computing fifth geometric-arithmetic index for nanostar dendrimers (2011, background): “[4] by setting Qu to be the number nu of vertices of G lying closer to the vertex u than to the vertex v for the edge uv of the graph G:”
Distance‐based topological descriptors for measuring the π‐electronic energy of benzenoid hydrocarbons with applications to carbon nanotubes (2020, unknown): “The GA 1 index was proposed by Vukiˇcevi´c et al. 37 The second version of the GA index was put forward by Fath-Tabar et al 38 in which ( q u , q v ) = ( n u , n v ).”