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Sorting is one of the most basic algorithms, and developing highly parallel sorting programs is becoming increasingly important in high-performance computing because the number of CPU cores per node in modern supercomputers tends to…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-08 Tomoyuki Tokuue , Tomoaki Ishiyama

We introduce and analyse a new, extremely simple, randomised sorting algorithm: - choose a pair of indices $\{i, j\}$ according to some distribution $q$; - sort the elements in positions $i$ and $j$ of the array in ascending order. Choosing…

Data Structures and Algorithms · Computer Science 2025-02-10 Sam Olesker-Taylor

This paper introduces a new comparison base stable sorting algorithm, named RS sort. RS Sort involves only the comparison of pair of elements in an array which ultimately sorts the array and does not involve the comparison of each element…

Data Structures and Algorithms · Computer Science 2014-07-23 Harsh Ranjan , Sumit Agarwal , Niraj Kumar Singh

Sieving is essential in different number theoretical algorithms. Sieving with large primes violates locality of memory access, thus degrading performance. Our suggestion on how to tackle this problem is to use cyclic data structures in…

Data Structures and Algorithms · Computer Science 2011-11-15 A. Járai , E. Vatai

In this paper, we present the design of a sample sort algorithm for manycore GPUs. Despite being one of the most efficient comparison-based sorting algorithms for distributed memory architectures its performance on GPUs was previously…

Data Structures and Algorithms · Computer Science 2009-10-01 Nikolaj Leischner , Vitaly Osipov , Peter Sanders

Representing sorted integer sequences in small space is a central problem for large-scale retrieval systems such as Web search engines. Efficient query resolution, e.g., intersection or random access, is achieved by carefully partitioning…

Information Retrieval · Computer Science 2019-07-23 Giulio Ermanno Pibiri

String sorting is an important part of tasks such as building index data structures. Unfortunately, current string sorting algorithms do not scale to massively parallel distributed-memory machines since they either have latency (at least)…

Data Structures and Algorithms · Computer Science 2024-04-26 Florian Kurpicz , Pascal Mehnert , Peter Sanders , Matthias Schimek

We investigate distributed memory parallel sorting algorithms that scale to the largest available machines and are robust with respect to input size and distribution of the input elements. The main outcome is that four sorting algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Michael Axtmann , Peter Sanders

Neighborhood algorithms may take a considerable percentage of computer time in discrete element methods (DEM). While the sort-and-sweep algorithm is ideal in some ways, as it only deal with particles whose relative positions change in one…

Computational Physics · Physics 2026-03-06 Dominik Krengel , Yuki Watanabe , Ko Kandori , Jian Chen , Hans-Georg Matuttis

In scientific computing, it is common that a mathematical expression can be computed by many different algorithms (sometimes over hundreds), each identifying a specific sequence of library calls. Although mathematically equivalent, those…

Performance · Computer Science 2021-09-15 Aravind Sankaran , Paolo Bientinesi

The analyses of many algorithms and data structures (such as digital search trees) for searching and sorting are based on the representation of the keys involved as bit strings and so count the number of bit comparisons. On the other hand,…

Probability · Mathematics 2012-02-14 James Allen Fill , Svante Janson

QuickXsort is a highly efficient in-place sequential sorting scheme that mixes Hoare's Quicksort algorithm with X, where X can be chosen from a wider range of other known sorting algorithms, like Heapsort, Insertionsort and Mergesort. Its…

Data Structures and Algorithms · Computer Science 2018-11-06 Stefan Edelkamp , Armin Weiß , Sebastian Wild

Various decision support systems are available that implement Data Mining and Data Warehousing techniques for diving into the sea of data for getting useful patterns of knowledge (pearls). Classification, regression, clustering, and many…

Cryptography and Security · Computer Science 2024-03-01 Mohammad Khalid Imam Rahmani

Integer sorting is a fundamental problem in computer science. This paper studies parallel integer sort both in theory and in practice. In theory, we show tighter bounds for a class of existing practical integer sort algorithms, which…

Data Structures and Algorithms · Computer Science 2026-05-18 Xiaojun Dong , Laxman Dhulipala , Yan Gu , Yihan Sun

Bitmap indexes must be compressed to reduce input/output costs and minimize CPU usage. To accelerate logical operations (AND, OR, XOR) over bitmaps, we use techniques based on run-length encoding (RLE), such as Word-Aligned Hybrid (WAH)…

Databases · Computer Science 2016-08-02 Daniel Lemire , Owen Kaser , Kamel Aouiche

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 2014-11-20 Zaid Abdi Alkareem Alyasseri , Kadhim Al-Attar , Mazin Nasser

We present four high performance hybrid sorting methods developed for various parallel platforms: shared memory multiprocessors, distributed multiprocessors, and clusters taking advantage of existence of both shared and distributed memory.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Thoria Alghamdi , Gita Alaghband

With the development of computing technology, CUDA has become a very important tool. In computer programming, sorting algorithm is widely used. There are many simple sorting algorithms such as enumeration sort, bubble sort and merge sort.…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-29 Hongyu Meng , Fangjin Guo

Sorting extremely large datasets is a frequently occuring task in practice. These datasets are usually much larger than the computer's main memory; thus external memory sorting algorithms, first introduced by Aggarwal and Vitter (1988), are…

Data Structures and Algorithms · Computer Science 2018-11-06 Alireza Farhadi , MohammadTaghi Hajiaghayi , Kasper Green Larsen , Elaine Shi

We empirically study sorting in the evolving data model. In this model, a sorting algorithm maintains an approximation to the sorted order of a list of data items while simultaneously, with each comparison made by the algorithm, an…

Data Structures and Algorithms · Computer Science 2018-05-16 Juan Jose Besa , William E. Devanny , David Eppstein , Michael Goodrich , Timothy Johnson