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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

There has been surprisingly little work on algorithms for sorting strings on distributed-memory parallel machines. We develop efficient algorithms for this problem based on the multi-way merging principle. These algorithms inspect only…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-24 Timo Bingmann , Peter Sanders , Matthias Schimek

Sorting a set of items is a task that can be useful by itself or as a building block for more complex operations. The more sophisticated and fast sorting algorithms become asymptotically, the less efficient they are for small sets of items…

Data Structures and Algorithms · Computer Science 2019-08-23 Jasper Marianczuk

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

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

Bucket sort and RADIX sort are two well-known integer sorting algorithms. This paper measures empirically what is the time usage and memory consumption for different kinds of input sequences. The algorithms are compared both from a…

Data Structures and Algorithms · Computer Science 2012-06-18 Panu Horsmalahti

Sorting is needed in many application domains. The data is read from memory and sent to a general purpose processor or application specific hardware for sorting. The sorted data is then written back to the memory. Reading/writing data…

Emerging Technologies · Computer Science 2022-02-08 Mohsen Riahi Alam , M. Hassan Najafi , Nima TaheriNejad

This article introduces an adaptive sorting algorithm that can relocate elements accurately by substituting their values into a function which we name it the guessing function. We focus on building this function which is the mapping…

Data Structures and Algorithms · Computer Science 2007-05-23 Sheng Bao , De-Shun Zheng

We propose a conceptually simple oblivious sort and oblivious random permutation algorithms called bucket oblivious sort and bucket oblivious random permutation. Bucket oblivious sort uses $6n\log n$ time (measured by the number of memory…

Data Structures and Algorithms · Computer Science 2021-04-30 Gilad Asharov , T-H. Hubert Chan , Kartik Nayak , Rafael Pass , Ling Ren , Elaine Shi

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

Sorting is an essential operation which is widely used and is fundamental to some very basic day to day utilities like searches, databases, social networks and much more. Optimizing this basic operation in terms of complexity as well as…

Data Structures and Algorithms · Computer Science 2021-07-06 Peeyush Kumar , Ayushe Gangal , Sunita Kumari , Sunita Tiwari

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 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

The objective behind the Twin Sort technique is to sort the list of unordered data elements efficiently and to allow efficient and simple arrangement of data elements within the data structure with optimization of comparisons and iterations…

Data Structures and Algorithms · Computer Science 2017-10-24 Veeresh D , Thimmaraju S. N , Ravish G. K

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

Emerging memory technologies have a significant gap between the cost, both in time and in energy, of writing to memory versus reading from memory. In this paper we present models and algorithms that account for this difference, with a focus…

Data Structures and Algorithms · Computer Science 2016-03-15 Guy E. Blelloch , Jeremy T. Fineman , Phillip B. Gibbons , Yan Gu , Julian Shun

Smart Sort algorithm is a "smart" fusion of heap construction procedures (of Heap sort algorithm) into the conventional "Partition" function (of Quick sort algorithm) resulting in a robust version of Quick sort algorithm. We have also…

Data Structures and Algorithms · Computer Science 2012-04-24 Niraj Kumar Singh , Soubhik Chakraborty

Merging $T$ sorted, non-redundant lists containing $M$ elements into a single sorted, non-redundant result of size $N \ge M/T$ is a classic problem typically solved practically in $O(M \log T)$ time with a priority-queue data structure the…

Data Structures and Algorithms · Computer Science 2022-08-22 Gene Myers

Modern comparison sorts like quicksort suffer from performance inconsistencies due to suboptimal pivot selection, leading to $(O(N^2))$ worst-case complexity, while in-place merge sort variants face challenges with data movement overhead.…

Data Structures and Algorithms · Computer Science 2026-01-06 Jia Xu Wei

Database query processing requires algorithms for duplicate removal, grouping, and aggregation. Three algorithms exist: in-stream aggregation is most efficient by far but requires sorted input; sort-based aggregation relies on external…

Databases · Computer Science 2022-09-27 Thanh Do , Goetz Graefe , Jeffrey Naughton