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This paper addresses the anytime sorting problem, aiming to develop algorithms providing tentative estimates of the sorted list at each execution step. Comparisons are treated as steps, and the Spearman's footrule metric evaluates…

Data Structures and Algorithms · Computer Science 2024-05-15 Emma Caizergues , François Durand , Fabien Mathieu

We give optimal sorting algorithms in the evolving data framework, where an algorithm's input data is changing while the algorithm is executing. In this framework, instead of producing a final output, an algorithm attempts to maintain an…

Data Structures and Algorithms · Computer Science 2018-05-10 Juan Jose Besa , William E. Devanny , David Eppstein , Michael T. Goodrich , Timothy Johnson

Sorting is one of the oldest computing problems and is still very important in the age of big data. Various algorithms and implementation techniques have been proposed. In this study, we focus on comparison based, internal sorting…

Data Structures and Algorithms · Computer Science 2016-09-16 Hantao Zhang , Baoluo Meng , Yiwen Liang

In this paper we investigate the problem of sorting a set of $n$ coins, each with distinct but unknown weights, using an unusual scale. The classical version of this problem, which has been well-studied, gives the user a binary scale,…

Combinatorics · Mathematics 2015-07-22 Richard A. B. Johnson , Gabor Meszaros

Much of the copious literature on the subject of sorting has concentrated on minimizing the number of comparisons and/or exchanges/copies. However, a more appropriate yardstick for the performance of sorting algorithms is based on the total…

Data Structures and Algorithms · Computer Science 2020-12-03 R. C. Hillyard , Yunlu Liaozheng , Sai Vineeth K. R

The problem that we want to solve in this project of the subject of Data Structures and Algorithms, is to decipher some images, which have in them animals, being more specific, bovine animals; in which it is necessary to identify if the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 David Agudelo Tapias , Simon Marin Giraldo y Mauricio Toro Bermudez

The problem of sorting with priced information was introduced by [Charikar, Fagin, Guruswami, Kleinberg, Raghavan, Sahai (CFGKRS), STOC 2000]. In this setting, different comparisons have different (potentially infinite) costs. The goal is…

Data Structures and Algorithms · Computer Science 2023-11-13 Mayank Goswami , Riko Jacob

Algorithms which sort lists of real numbers into ascending order have been studied for decades. They are typically based on a series of pairwise comparisons and run entirely on chip. However people routinely sort lists which depend on…

Artificial Intelligence · Computer Science 2016-12-28 Samuel L Smith

Previous parallel sorting algorithms do not scale to the largest available machines, since they either have prohibitive communication volume or prohibitive critical path length. We describe algorithms that are a viable compromise and…

Data Structures and Algorithms · Computer Science 2015-02-26 Michael Axtmann , Timo Bingmann , Peter Sanders , Christian Schulz

We revisit the classical problem of computing the \emph{contour tree} of a scalar field $f:\mathbb{M} \to \mathbb{R}$, where $\mathbb{M}$ is a triangulated simplicial mesh in $\mathbb{R}^d$. The contour tree is a fundamental topological…

Computational Geometry · Computer Science 2015-12-11 Benjamin Raichel , C. Seshadhri

We consider the problem of sorting $n$ items, given the outcomes of $m$ pre-existing comparisons. We present a simple and natural deterministic algorithm that runs in $O(m + \log T)$ time and does $O(\log T)$ comparisons, where $T$ is the…

Data Structures and Algorithms · Computer Science 2026-05-06 Bernhard Haeupler , Richard Hladík , John Iacono , Vaclav Rozhon , Robert Tarjan , Jakub Tětek

Sorting algorithms have attracted a great deal of attention and study, as they have numerous applications to Mathematics, Computer Science and related fields. In this thesis, we first deal with the mathematical analysis of the Quicksort…

Data Structures and Algorithms · Computer Science 2015-10-05 Vasileios Iliopoulos

There is a growing body of work on sorting and selection in models other than the unit-cost comparison model. This work is the first treatment of a natural stochastic variant of the problem where the cost of comparing two elements is a…

Data Structures and Algorithms · Computer Science 2007-10-02 Stanislav Angelov , Keshav Kunal , Andrew McGregor

Sorting is one of the most basic primitives in many algorithms and data analysis tasks. Comparison-based sorting algorithms, like quick-sort and merge-sort, are known to be optimal when the outcome of each comparison is error-free. However,…

Data Structures and Algorithms · Computer Science 2025-05-06 Ragesh Jaiswal , Amit Kumar , Jatin Yadav

Motivated by the development of computer theory, the sorting algorithm is emerging in an endless stream. Inspired by decrease and conquer method, we propose a brand new sorting algorithmUltimately Heapsort. The algorithm consists of two…

Data Structures and Algorithms · Computer Science 2019-02-04 Feiyang Chen , Nan Chen , Hanyang Mao , Hanlin Hu

Modern parcel logistic networks are designed to ship demand between given origin, destination pairs of nodes in an underlying directed network. Efficiency dictates that volume needs to be consolidated at intermediate nodes in typical…

Discrete Mathematics · Computer Science 2023-11-10 Madison Van Dyk , Kim Klause , Jochen Koenemann , Nicole Megow

We study the space requirements of a sorting algorithm where only items that at the end will be adjacent are kept together. This is equivalent to the following combinatorial problem: Consider a string of fixed length n that starts as a…

Probability · Mathematics 2007-05-23 Svante Janson

Mergesort is one of the few efficient sorting algorithms and, despite being the oldest one, often still the method of choice today. In contrast to some alternative algorithms, it always runs efficiently using O(n log n) element comparisons…

Data Structures and Algorithms · Computer Science 2025-09-30 Christian Siebert

The global demand for sustainable protein sources is driving increasing interest in edible insects, with Acheta domesticus (house cricket) identified as one of the most suitable species for industrial production. Current farming practices…

Computer Vision and Pattern Recognition · Computer Science 2025-12-05 Juan Manuel Cantarero Angulo , Matthew Smith

We present a research picking prototype related to our company's industrial waste sorting application. The goal of the prototype is to be as autonomous as possible and it both calibrates itself and improves its picking with minimal human…

Robotics · Computer Science 2015-11-25 Janne V. Kujala , Tuomas J. Lukka , Harri Holopainen
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