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This paper presents the first implementation of a search tree data structure in an asynchronous shared-memory system that provides a wait-free algorithm for executing range queries on the tree, in addition to non-blocking algorithms for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Panagiota Fatourou , Eric Ruppert

Tree data structures, such as red-black trees, quad trees, treaps, or tries, are fundamental tools in computer science. A classical problem in concurrency is to obtain expressive, efficient, and scalable versions of practical tree data…

Databases · Computer Science 2023-10-10 Ilya Kokorin , Dan Alistarh , Vitaly Aksenov

Augmentation makes search trees tremendously more versatile, allowing them to support efficient aggregation queries, order-statistic queries, and range queries in addition to insertion, deletion, and lookup. In this paper, we present the…

Data Structures and Algorithms · Computer Science 2026-01-27 Evan Wrench , Ajay Singh , Younghun Roh , Panagiota Fatourou , Siddhartha Jayanti , Eric Ruppert , Yuanhao Wei

AdaBoost is an important algorithm in machine learning and is being widely used in object detection. AdaBoost works by iteratively selecting the best amongst weak classifiers, and then combines several weak classifiers to obtain a strong…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-07 Munther Abualkibash , Ahmed ElSayed , Ausif Mahmood

The need for scalable concurrent ordered set data structures with linearizable range query support is increasing due to the rise of multicore computers, data processing platforms and in-memory databases. This paper presents a new concurrent…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-05 Kjell Winblad

The whole computer hardware industry embraced multicores. For these machines, the extreme optimisation of sequential algorithms is no longer sufficient to squeeze the real machine power, which can be only exploited via thread-level…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-09-21 Marco aldinucci , Salvatore Ruggieri , Massimo Torquati

We introduce dynamic smooth (a.k.a. balanced) compressed quadtrees with worst-case constant time updates in constant dimensions. We distinguish two versions of the problem. First, we show that quadtrees as a space-division data structure…

Computational Geometry · Computer Science 2018-02-23 Ivor Hoog v. d. , Elena Khramtcova , Maarten Löffler

In this paper we present a novel algorithm for concurrent lock-free internal binary search trees (BST) and implement a Set abstract data type (ADT) based on that. We show that in the presented lock-free BST algorithm the amortized step…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-12 Bapi Chatterjee , Nhan Nguyen , Philippas Tsigas

It is becoming increasingly difficult to improve the performance of a a single process (thread) on a computer due to physical limitations. Modern systems use multi-core processors in which multiple processes (threads) may run concurrently.…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-05 Jordan Malek

Dynamic tree data structures maintain a forest while supporting insertion and deletion of edges and a broad set of queries in $O(\log n)$ time per operation. Such data structures are at the core of many modern algorithms. Recent work has…

Data Structures and Algorithms · Computer Science 2025-06-23 Humza Ikram , Andrew Brady , Daniel Anderson , Guy Blelloch

The $k$d-tree is one of the most widely used data structures to manage multi-dimensional data. Due to the ever-growing data volume, it is imperative to consider parallelism in $k$d-trees. However, we observed challenges in existing parallel…

Data Structures and Algorithms · Computer Science 2025-01-08 Ziyang Men , Zheqi Shen , Yan Gu , Yihan Sun

Augmenting an existing sequential data structure with extra information to support greater functionality is a widely used technique. For example, search trees are augmented to build sequential data structures like order-statistic trees,…

Data Structures and Algorithms · Computer Science 2024-05-20 Panagiota Fatourou , Eric Ruppert

Balanced search trees are widely used in computer science to efficiently maintain dynamic ordered data. To support efficient set operations (e.g., union, intersection, difference) using trees, the join-based framework is widely studied.…

Data Structures and Algorithms · Computer Science 2025-10-24 Michael Goodrich , Yan Gu , Ryuto Kitagawa , Yihan Sun

The growing popularity of shared-memory multiprocessor machines has caused significant changes in the design of concurrent software. In this approach, the concurrently running threads communicate and synchronize with each other through data…

Data Structures and Algorithms · Computer Science 2015-09-24 Konrad Kułakowski

The tree is an essential data structure in many applications. In a distributed application, such as a distributed file system, the tree is replicated.To improve performance and availability, different clients should be able to update their…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-20 Sreeja Nair , Filipe Meirim , Mário Pereira , Carla Ferreira , Marc Shapiro

As other fundamental programming abstractions in energy-efficient computing, search trees are expected to support both high parallelism and data locality. However, existing highly-concurrent search trees such as red-black trees and AVL…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-11 Ibrahim Umar , Otto Anshus , Phuong Ha

In concurrent data structures, the efficiency of set operations can vary significantly depending on the workload characteristics. Numerous concurrent set implementations are optimized and fine-tuned to excel in scenarios characterized by…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-29 Daniel Manor , Mor Perry , Moshe Sulamy

The dynamic trees problem is to maintain a forest subject to edge insertions and deletions while facilitating queries such as connectivity, path weights, and subtree weights. Dynamic trees are a fundamental building block of a large number…

Data Structures and Algorithms · Computer Science 2020-10-27 Umut A. Acar , Daniel Anderson , Guy E. Blelloch , Laxman Dhulipala , Sam Westrick

The paper presents the first \emph{concurrency-optimal} implementation of a binary search tree (BST). The implementation, based on a standard sequential implementation of an internal tree, ensures that every \emph{schedule} is accepted,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-03 Vitaly Aksenov , Vincent Gramoli , Petr Kuznetsov , Anna Malova , Srivatsan Ravi

Dual-tree algorithms are a widely used class of branch-and-bound algorithms. Unfortunately, developing dual-tree algorithms for use with different trees and problems is often complex and burdensome. We introduce a four-part logical split:…

Data Structures and Algorithms · Computer Science 2013-04-17 Ryan R. Curtin , William B. March , Parikshit Ram , David V. Anderson , Alexander G. Gray , Charles L. Isbell
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