Abstract The Coulson-type integral formula for TI energy is established, and two sufficient conditions for TI energy of trees to be minimum are presented. Using the results, for the harmonic… Click to show full abstract
Abstract The Coulson-type integral formula for TI energy is established, and two sufficient conditions for TI energy of trees to be minimum are presented. Using the results, for the harmonic energy, the augmented zagreb energy, the geometric-arithmetic energy, and the general sum-connectivity energy (for μ 0 ) of trees, the minimum energies among trees are determine according to the order and the extremal trees are characterized, respectively.
               
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