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On the Height of Height-Balanced Trees

IEEE Transactions on Computers, 1976
Height-balanced binary trees with height unbalances up to ? are investigated, and the asymptotic value of the height h of such trees is studied for an increasing number of nodes N. It is shown that, in the worst case, the asymptotic value of h is a logarithmic function of N: [h = K log N] n?? . Specifically, an upper bound for h can be posed as: h ?
Fabrizio Luccio, Linda Pagli
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