The Height of Increasing Trees
نویسنده
چکیده
Increasing trees have been introduced by Bergeron, Flajolet and Salvy [1]. This kind of notion covers several well knows 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 EHn ∼ γ logn (for some constant γ > 0) and VarHn = O(1) as n→∞. The methods uses are based on generating functions.
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