On Vertex Degree-Based Topological Indices for Fixed Branching Vertices of Trees

The Gourava indices and hyper-Gourava indices are graph invariants, related to the degree of vertices of a graph G . Let T n , b denote the collection of all chemical trees with n vertices where b denotes the number of branching vertices, 1 ≤ b < n − 2 / 2 . In the current paper, maximum value for the abovementioned topological indices for different classes 1 T n , b and 2 T n , b of T n , b is determined and the corresponding extremal trees are characterized.