We consider sums of functions of subtrees of a random binary search tree, and obtain general laws of large numbers and central limit theorems. These sums correspond to random recur...
We consider the problem of computing efficient strategies for searching in trees. As a generalization of the classical binary search for ordered lists, suppose one wishes to find...
Classifying an unknown input is a fundamental problem in Pattern Recognition. One standard method is finding its nearest neighbors in a reference set. It would be very time consum...
At SODA 2009, Demaine et al. presented a novel connection between binary search trees (BSTs) and subsets of points on the plane. This connection was independently discovered by Der...
Although skip lists were introduced as an alternative to balanced binary search trees (BSTs), we show that the skip list can be interpreted as a type of randomly-balanced BST whos...