On trees with maximum exponential harmonic and sum-connectivity indices}

The harmonic index and sum-connectivity index are two of the best-known and most successful vertex-degree-based topological indices in mathematical chemistry. They are well correlated with the $\pi$-electronic energy of benzenoid hydrocarbons. The idea of introducing the exponential of vertex-degree-based topological indices was raised by Rada during the study of discrimination ability of these class of graph invariants. The aim of this research is to study the exponential of harmonic and sum-connectivity index over trees with fixed order and given maximum vertex degree.