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Identifying intersections among a set of d-dimensional rectangular regions (d-rectangles) is a common problem in many simulation and modeling applications. Since algorithms for computing intersections over a large number of regions can be…

Data Structures and Algorithms · Computer Science 2016-05-18 Moreno Marzolla , Gabriele D'Angelo , Marco Mandrioli

We engineer algorithms for sorting huge data sets on massively parallel machines. The algorithms are based on the multiway merging paradigm. We first outline an algorithm whose I/O requirement is close to a lower bound. Thus, in contrast to…

Data Structures and Algorithms · Computer Science 2009-10-15 Mirko Rahn , Peter Sanders , Johannes Singler

SQL-on-Hadoop systems, query optimization, data distribution over multiple nodes and parallelization techniques are few of the areas under extreme research these days. Big names like Amazon, Google, Microsoft and many more are working on…

Databases · Computer Science 2016-08-17 Abdur Rafay

Work-stealing is a widely used technique for balancing irregular parallel workloads, and most modern runtime systems adopt lock-free work-stealing deques to reduce contention and improve scalability. However, existing algorithms are…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-09 Raja Sai Nandhan Yadav Kataru , Danial Davarnia , Ali Jannesari

Merging two sorted arrays is a prominent building block for sorting and other functions. Its efficient parallelization requires balancing the load among compute cores, minimizing the extra work brought about by parallelization, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-23 Oded Green , Saher Odeh , Yitzhak Birk

A data structure, called a biased range tree, is presented that preprocesses a set S of n points in R^2 and a query distribution D for 2-sided orthogonal range counting queries. The expected query time for this data structure, when queries…

Computational Geometry · Computer Science 2008-06-18 Vida Dujmovic , John Howat , Pat Morin

Query response time often influences user experience in the real world. However, it possibly takes more time to answer a query with its all exact solutions, especially when it contains the OPT operations since the OPT operation is the least…

Databases · Computer Science 2016-03-23 Zhenyu Song , Zhiyong Feng , Xiaowang Zhang , Xin Wang , Guozheng Rao

The wavelet tree (Grossi et al. [SODA, 2003]) and wavelet matrix (Claude et al. [Inf. Syst., 47:15--32, 2015]) are compact indices for texts over an alphabet $[0,\sigma)$ that support rank, select and access queries in $O(\lg \sigma)$ time.…

Data Structures and Algorithms · Computer Science 2017-11-13 Johannes Fischer , Florian Kurpicz , Marvin Löbel

Multicopy search structures such as log-structured merge (LSM) trees are optimized for high insert/update/delete (collectively known as upsert) performance. In such data structures, an upsert on key $k$, which adds $(k,v)$ where $v$ can be…

Programming Languages · Computer Science 2021-09-14 Nisarg Patel , Siddharth Krishna , Dennis Shasha , Thomas Wies

Sorting has been a profound area for the algorithmic researchers and many resources are invested to suggest more works for sorting algorithms. For this purpose, many existing sorting algorithms were observed in terms of the efficiency of…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-25 Zaid Abdi Alkareem Alyasseri , Kadhim Al-Attar , Mazin Nasser

Sorting has been one of the most challenging studied problems in different scientific researches. Although many techniques and algorithms have been proposed on the theory of having efficient parallel sorting implementation, however…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-17 Zahra Khatami , Sungpack Hong , Jinsoo Lee , Siegfried Depner , Hassan Chafi , J. Ramanujam , Hartmut Kaiser

Commercial off-the-shelf DataBase Management Systems (DBMSes) are highly optimized to process a wide range of queries by means of carefully designed indexing and query planning. However, many aggregate range queries are usually performed by…

Databases · Computer Science 2019-12-18 Diego Pennino , Maurizio Pizzonia , Alessio Papi

The tree-depth problem can be seen as finding an elimination tree of minimum height for a given input graph $G$. We introduce a bicriteria generalization in which additionally the width of the elimination tree needs to be bounded by some…

Data Structures and Algorithms · Computer Science 2021-05-31 Piotr Borowiecki , Dariusz Dereniowski , Dorota Osula

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

Optimizing the parallel training of large models requires exploring intra-operator parallelism plans for a computation graph that typically contains tens of thousands of primitive operators. While the optimization of parallel data…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-08 Weifang Hu , Xuanhua Shi , Yunkai Zhang , Chang Wu , Xuan Peng , Jiaqi Zhai , Hai Jin , Xuehai Qian , Jingling Xue , Yongluan Zhou

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

In the recent decade companies started collecting of large amount of data. Without a proper analyse, the data are usually useless. The field of analysing the data is called data mining. Unfortunately, the amount of data is quite large: the…

Databases · Computer Science 2021-08-12 Robert Kessl

Flat combining is a concurrency threaded technique whereby one thread performs all the operations in batch by scanning a queue of operations to-be-done and performing them together. Flat combining makes sense as long as k operations each…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-12-25 Sergio Sainz-Palacios

We propose a theoretically-efficient and practical parallel batch-dynamic data structure for the closest pair problem. Our solution is based on a serial dynamic closest pair data structure by Golin et al., and supports batches of insertions…

Data Structures and Algorithms · Computer Science 2021-03-25 Yiqiu Wang , Shangdi Yu , Yan Gu , Julian Shun

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