Abstract. We give linear-time algorithms for re-ordering and heightrestricting a binary search tree with only a small increase in cost, constructing a nearly optimal binary search ...
We prove convergence in distribution for the profile (the number of nodes at each level), normalized by its mean, of random recursive trees when the limit ratio of the level and ...
We present an O(lg lg n)-competitive online binary search tree, improving upon the best previous (trivial) competitive ratio of O(lg n). This is the first major progress on Sleator...
Erik D. Demaine, Dion Harmon, John Iacono, Mihai P...
In evaluating the performance of online algorithms for search trees, one wants to compare them to the best offline algorithm available. In this paper we lower bound the cost of an...
We present the zipper tree, the first O(log log n)-competitive online binary search tree that performs each access in O(log n) worst-case time. This shows that for binary search ...