Block Binary Search Tree

Connecting Yule Process, Bisection and Binary Search Tree via Martingales

We present new links between some remarkable martingales found in the study of the Binary Search Tree or of the bisection problem, looking at them on the probability space of a continuous time binary branching process.

A Randomized Self-Adjusting Binary Search Tree

We present algorithms for a new self-adjusting binary search tree, which we call a shuffle tree. The tree is easy to implement and does not require parent pointers or balancing information to be stored in tree nodes. A maximum of one rotation is probabilistically applied during each traversal, which keeps the cost of balancing activity low. We present tests to compare the performance of shuffle...

Nearest Neighbor Search Using Additive Binary Tree

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 consuming if computed feature by feature for all templates in the reference set; this naı̈ve method is O(nd) where n is the number of templates in the reference set and d is the number of features or dimension. For this reaso...

The Saturation Level in Binary Search Tree

A New Weight Balanced Binary Search Tree