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This paper presents a non-blocking Patricia trie implementation for an asynchronous shared-memory system using Compare&Swap. The trie implements a linearizable set and supports three update operations: insert adds an element, delete removes…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-18 Niloufar Shafiei

A non-blocking chromatic tree is a type of balanced binary search tree where multiple processes can concurrently perform search and update operations. We prove that a certain implementation has amortized cost $O(\dot{c} + \log n)$ for each…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-16 Jeremy Ko

We start by summarizing the recently proposed implementation of the first non-blocking concurrent interpolation search tree (C-IST) data structure. We then analyze the individual operations of the C-IST, and show that they are correct and…

Data Structures and Algorithms · Computer Science 2020-01-03 Aleksandar Prokopec , Trevor Brown , Dan Alistarh

The lock-free, ordered, linked list is an important, standard example of a concurrent data structure. An obvious, practical drawback of textbook implementations is that failed compare-and-swap (CAS) operations lead to retraversal of the…

Data Structures and Algorithms · Computer Science 2020-11-02 Jesper Larsson Träff , Manuel Pöter

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

Graph algorithms applied in many applications, including social networks, communication networks, VLSI design, graphics, and several others, require dynamic modifications -- addition and removal of vertices and/or edges -- in the graph.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-16 Bapi Chatterjee , Sathya Peri , Muktikanta Sa , Nandini Singhal

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

As file systems are increasingly being deployed on ever larger systems with many cores and multi-gigabytes of memory, scaling the internal data structures of file systems has taken greater importance and urgency. A doubly-linked list is a…

Data Structures and Algorithms · Computer Science 2011-12-07 Nitin Garg , Ed Zhu , Fabiano C. Botelho

The \emph{Order-Maintenance} (OM) data structure maintains a total order list of items for insertions, deletions, and comparisons. As a basic data structure, OM has many applications, such as maintaining the topological order, core numbers,…

Data Structures and Algorithms · Computer Science 2024-10-15 Bin Guo , Emil Sekerinski

Enumeration algorithms have been one of recent hot topics in theoretical computer science. Different from other problems, enumeration has many interesting aspects, such as the computation time can be shorter than the total output size, by…

Data Structures and Algorithms · Computer Science 2014-07-16 Takeaki Uno

A binary trie is a sequential data structure for a dynamic set on the universe $\{0,\dots,u-1\}$ supporting Search with $O(1)$ worst-case step complexity, and Insert, Delete, and Predecessor operations with $O(\log u)$ worst-case step…

Data Structures and Algorithms · Computer Science 2025-09-04 Jeremy Ko

A data structure is presented for the Mergeable Dictionary abstract data type, which supports the following operations on a collection of disjoint sets of totally ordered data: Predecessor-Search, Split and Merge. While Predecessor-Search…

Data Structures and Algorithms · Computer Science 2012-11-20 John Iacono , Özgür Özkan

Building concurrent spatial trees is more complicated than binary search trees since a space hierarchy should be preserved during modifications. We present a non-blocking quadtree-quadboost-that supports concurrent insert, remove, move, and…

Data Structures and Algorithms · Computer Science 2016-07-13 Keren Zhou , Guangming Tan , Wei Zhou

This report describes an implementation of a non-blocking concurrent shared-memory hash trie based on single-word compare-and-swap instructions. Insert, lookup and remove operations modifying different parts of the hash trie can be run…

Data Structures and Algorithms · Computer Science 2017-09-19 Aleksandar Prokopec , Phil Bagwell , Martin Odersky

Contrary to common belief, a recent work by Ellen, Gelashvili, Shavit, and Zhu has shown that computability does not require multicore architectures to support "strong" synchronization instructions like compare-and-swap, as opposed to…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-09 Rati Gelashvili , Idit Keidar , Alexander Spiegelman , Roger Wattenhofer

This article introduces a new optimization method to improve mergesort's runtime complexity, when sorting sequences that have equal keys to $O(n log_2 k)$, where $k$ is the number of distinct keys in the sequence. When $k$ is constant, it…

Data Structures and Algorithms · Computer Science 2020-12-17 Albert Tedja

Linked lists have long served as a valuable teaching tool in programming. However, the question arises: Are they truly practical for everyday program use? In most cases, it appears that array-based data structures offer distinct advantages,…

Data Structures and Algorithms · Computer Science 2024-08-29 Benoît Sonntag , Dominique Colnet

The mutual-exclusion property of locks stands in the way to scalability of parallel programs on many-core architectures. Locks do not allow progress guarantees, because a task may fail inside a critical section and keep holding a lock that…

Programming Languages · Computer Science 2018-06-20 Johann Blieberger , Bernd Burgstaller

Designing an efficient concurrent data structure is an important challenge that is not easy to meet. Intuitively, efficiency of an implementation is defined, in the first place, by its ability to process applied operations in parallel,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-15 Vitaly Aksenov , Vincent Gramoli , Petr Kuznetsov , Srivatsan Ravi , Di Shang
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