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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

We study the complexity of finding communication trees with the lowest possible completion time for rooted, irregular gather and scatter collective communication operations in fully connected, $k$-ported communication networks under a…

Computational Complexity · Computer Science 2018-11-28 Jesper Larsson Träff

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

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

Motivated by an application in computational topology, we consider a novel variant of the problem of efficiently maintaining dynamic rooted trees. This variant requires merging two paths in a single operation. In contrast to the standard…

Data Structures and Algorithms · Computer Science 2007-11-13 Loukas Georgiadis , Haim Kaplan , Nira Shafrir , Robert E. Tarjan , Renato F. Werneck

We introduce a data structure that allows for efficient (probabilistic) presence proofs and non-probabilistic absence proofs in a bandwidth efficient and secure way. The Bloom tree combines the idea of Bloom filters with that of Merkle…

Data Structures and Algorithms · Computer Science 2020-02-20 Lum Ramabaja , Arber Avdullahu

Indexes provide a method to access data in databases quickly. It can improve the response speed of subsequent queries by building a complete index in advance. However, it also leads to a huge overhead of the continuous updating during…

Databases · Computer Science 2019-11-27 Gang Wu , Yidong Song , Guodong Zhao , Wei Sun , Donghong Han , Baiyou Qiao , Guoren Wang , Ye Yuan

The blockchain technology has been changing our daily lives since Bitcoin - i.e., the first decentralized cryptocurrency - was invented and released as open-source software by an unidentified person or a group called Satoshi Nakamoto in…

Networking and Internet Architecture · Computer Science 2019-04-16 Jia Kan , Kyeong Soo Kim

A sorted set (or map) is one of the most used data types in computer science. In addition to standard set operations, like Insert, Remove, and Contains, it can provide set-set operations such as Union,Intersection, and Difference. Each of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-27 Ilya Kokorin , Vitaly Aksenov , Alena Martsenyuk

Security risk management can be applied on well-defined or existing systems; in this case, the objective is to identify existing vulnerabilities, assess the risks and provide for the adequate countermeasures. Security risk management can…

Cryptography and Security · Computer Science 2014-04-09 Stéphane Paul

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

The development of machine learning algorithms in the cyber security domain has been impeded by the complex, hierarchical, sequential and multimodal nature of the data involved. In this paper we introduce the notion of a streaming tree as a…

Cryptography and Security · Computer Science 2021-09-30 Thomas Cochrane , Peter Foster , Varun Chhabra , Maud Lemercier , Cristopher Salvi , Terry Lyons

The task of accumulating a portion of a list of values, whose values may be updated at any time, is widely used throughout various applications in computer science. While it is trivial to accomplish this task without any constraints,…

Data Structures and Algorithms · Computer Science 2025-02-12 Nicholas J. C. Papadopoulos

We have developed a task-parallel runtime system, called TREES, that is designed for high performance on CPU/GPU platforms. On platforms with multiple CPUs, Cilk's "work-first" principle underlies how task-parallel applications can achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-03 Blake A. Hechtman , Andrew D. Hilton , Daniel J. Sorin

$k$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

Collaborative blockchain ecosystems allow diverse groups to cooperate on tasks while providing properties such as decentralization and transaction security. We provide a model that uses a repository blockchain to manage hard forks within a…

Emerging Technologies · Computer Science 2026-04-29 Razwan Ahmed Tanvir , Greg Speegle

The wavelet tree (Grossi et al. [SODA, 2003]) and wavelet matrix (Claude et al. [Inf. Syst., 2015]) are compact data structures with many applications such as text indexing or computational geometry. By continuing the recent research of…

Data Structures and Algorithms · Computer Science 2020-02-20 Patrick Dinklage

The Log-Structured Merge-Tree (LSM-tree) has been widely adopted for use in modern NoSQL systems for its superior write performance. Despite the popularity of LSM-trees, they have been criticized for suffering from write stalls and large…

Databases · Computer Science 2020-04-14 Chen Luo , Michael J. Carey

Merge trees are a valuable tool in the scientific visualization of scalar fields; however, current methods for merge tree comparisons are computationally expensive, primarily due to the exhaustive matching between tree nodes. To address…

Machine Learning · Computer Science 2024-10-07 Yu Qin , Brittany Terese Fasy , Carola Wenk , Brian Summa

One of the important features of an interconnection network is its ability to efficiently simulate programs or parallel algorithms written for other architectures. Such a simulation problem can be mathematically formulated as a graph…

Combinatorics · Mathematics 2019-11-19 A. Arul Shantrinal , R. Sundara Rajan , A. Ramesh Babu , S. Anil , Mohammed Ali Ahmed