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The dynamic trees problem is to maintain a tree under edge updates while supporting queries like connectivity queries or path queries. Despite the first data structure for this fundamental problem -- the link-cut tree -- being invented 40…

Data Structures and Algorithms · Computer Science 2026-01-16 Quinten De Man , Atharva Sharma , Kishen N Gowda , Laxman Dhulipala

Data intensive applications on clusters often require requests quickly be sent to the node managing the desired data. In many applications, one must look through a sorted tree structure to determine the responsible node for accessing or…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Xiaoqin Ma , Gene Cooperman

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

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

This paper focuses on parallel hash functions based on tree modes of operation for an inner Variable-Input-Length function. This inner function can be either a single-block-length (SBL) and prefix-free MD hash function, or a sponge-based…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-13 Kevin Atighehchi , Robert Rolland

While a lot of work in theoretical computer science has gone into optimizing the runtime and space usage of data structures, such work very often neglects a very important component of modern computers: the cache. In doing so, very often,…

Data Structures and Algorithms · Computer Science 2019-07-04 Jeffrey Barratt , Brian Zhang

Search engines play a vital role in day to day life on internet. People use search engines to find content on internet. Cloud computing is the computing concept in which data is stored and accessed with the help of a third party server…

Information Retrieval · Computer Science 2014-11-26 Simran Bijral , Debajyoti Mukhopadhyay

The issue of internal fragmentation in data structures is a fundamental challenge in database design. A seminal result of Yao in this field shows that evenly splitting the leaves of a B-tree against a workload of uniformly random insertions…

Data Structures and Algorithms · Computer Science 2026-03-13 Michael A. Bender , Aaron Bernstein , Nairen Cao , Alex Conway , Martín Farach-Colton , Hanna Komlós , Yarin Shechter , Nicole Wein

We consider the problem of laying out a tree with fixed parent/child structure in hierarchical memory. The goal is to minimize the expected number of block transfers performed during a search along a root-to-leaf path, subject to a given…

Data Structures and Algorithms · Computer Science 2007-05-23 Stephen Alstrup , Michael A. Bender , Erik D. Demaine , Martin Farach-Colton , Theis Rauhe , Mikkel Thorup

With the prevalence of online platforms, today, data is being generated and accessed by users at a very high rate. Besides, applications such as stock trading or high frequency trading require guaranteed low delays for performing an…

Databases · Computer Science 2020-03-03 Sepanta Zeighami , Raymond Chi-Wing Wong

Augmented B-trees (aB-trees) are a broad class of data structures. The seminal work "succincter" by Patrascu showed that any aB-tree can be stored using only two bits of redundancy, while supporting queries to the tree in time proportional…

Data Structures and Algorithms · Computer Science 2023-09-25 Tianxiao Li , Jingxun Liang , Huacheng Yu , Renfei Zhou

$k$d-trees are widely used in parallel databases to support efficient neighborhood/similarity queries. Supporting parallel updates to $k$d-trees is therefore an important operation. In this paper, we present BDL-tree, a parallel,…

Data Structures and Algorithms · Computer Science 2021-12-14 Rahul Yesantharao , Yiqiu Wang , Laxman Dhulipala , Julian Shun

We present the Cuckoo Trie, a fast, memory-efficient ordered index structure. The Cuckoo Trie is designed to have memory-level parallelism -- which a modern out-of-order processor can exploit to execute DRAM accesses in parallel -- without…

Data Structures and Algorithms · Computer Science 2022-01-25 Adar Zeitak , Adam Morrison

In this paper, we introduce zip-tries, which are simple, dynamic, memory-efficient data structures for strings. Zip-tries support search and update operations for $k$-length strings in $\mathcal{O}(k+\log n)$ time in the standard RAM model…

Data Structures and Algorithms · Computer Science 2025-08-21 David Eppstein , Ofek Gila , Michael T. Goodrich , Ryuto Kitagawa

A recent work shows how we can optimize a tree based mode of operation for a rate 1 hash function. In particular, an algorithm and a theorem are presented for selecting a good tree topology in order to optimize both the running time and the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-15 Kevin Atighehchi

The performance of today's in-memory indexes is bottlenecked by the memory latency/bandwidth wall. Processing-in-memory (PIM) is an emerging approach that potentially mitigates this bottleneck, by enabling low-latency memory access whose…

IP lookup via Longest Prefix Match (LPM) is critical for packet forwarding. Unfortunately, conventional lookup algorithms are inefficient for IPv6 Forwarding Information Bases (FIBs), which are characterized by a set of long prefixes with…

Data Structures and Algorithms · Computer Science 2026-04-29 Zhihao Zhang , Lanzheng Liu , Chen Chen , Huiba Li , Jiwu Shu , Windsor Hsu , Yiming Zhang

Embedded devices collect and process significant amounts of data in a variety of applications including environmental monitoring, industrial automation and control, and other Internet of Things (IoT) applications. Storing data efficiently…

Databases · Computer Science 2023-02-16 Nadir Ould-Khessal , Scott Fazackerley , Ramon Lawrence

Algorithms that use hardware transactional memory (HTM) must provide a software-only fallback path to guarantee progress. The design of the fallback path can have a profound impact on performance. If the fallback path is allowed to run…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-08-17 Trevor Brown

This paper presents a batch-parallel 2-3 tree T in an asynchronous dynamic multithreading model that supports searches, insertions and deletions in sorted batches and has essentially optimal parallelism, even under the restrictive QRMW…

Data Structures and Algorithms · Computer Science 2021-10-25 Wei Quan Lim