A speculation‐friendly 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...

A New Weight Balanced Binary Search Tree

A Concurrency-Optimal Binary Search Tree

The paper presents the first concurrency-optimal implementation of a binary search tree (BST). The implementation, based on a standard sequential implementation of an internal tree, ensures that every schedule is accepted, i.e., interleaving of steps of the sequential code, unless linearizability is violated. To ensure this property, we use a novel read-write locking scheme that protects tree e...

A Contention-Friendly Binary Search Tree

This paper proposes a new lock-based concurrent binary tree using a methodology for writing concurrent data structures. This methodology limits the high contention induced by today’s multicore environments to come up with efficient alternatives to the most widely used search structures. Data structures are generally constrained to guarantee a big-oh step complexity even in the presence of concu...