Abstract
Increasing trees have been introduced by Bergeron, Flajolet, and Salvy [1]. This kind of notion covers several well-know classes of random trees like binary search trees, recursive trees, and plane oriented (or heap ordered) trees. We consider the height of increasing trees and prove for several classes of trees (including the above mentioned ones) that the height satisfies EH n ~ γlogn (for some constant γ > 0) and Var H n = O(1) as n → ∞. The methods used are based on generating functions.
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