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We develop and analyze concurrent algorithms for the disjoint set union (union-find) problem in the shared memory, asynchronous multiprocessor model of computation, with CAS (compare and swap) or DCAS (double compare and swap) as the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Siddhartha V. Jayanti , Robert E. Tarjan

In this paper, we investigate optimization problems with nonnegative and orthogonal constraints, where any feasible matrix of size $n \times p$ exhibits a sparsity pattern such that each row accommodates at most one nonzero entry. Our…

Optimization and Control · Mathematics 2025-11-06 Lei Wang , Xin Liu , Xiaojun Chen

This paper focuses on compact deterministic self-stabilizing solutions for the leader election problem. When the protocol is required to be \emph{silent} (i.e., when communication content remains fixed from some point in time during any…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-01-21 Lélia Blin , Sébastien Tixeuil

Leader election is, together with consensus, one of the most central problems in distributed computing. This paper presents a distributed algorithm, called \STT, for electing deterministically a leader in an arbitrary network, assuming…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-10 Arnaud Casteigts , Yves Métivier , John Michael Robson , Akka Zemmari

In an anonymous shared memory system, all inter-process communications are via shared objects; however, unlike in standard systems, there is no a priori agreement between processes on the names of shared objects [14,15]. Furthermore, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-21 Gadi Taubenfeld

A binary trie is a sequential data structure for a dynamic set on the universe $\{0,\dots,u-1\}$ supporting Search with $O(1)$ worst-case step complexity, and Insert, Delete, and Predecessor operations with $O(\log u)$ worst-case step…

Data Structures and Algorithms · Computer Science 2025-09-04 Jeremy Ko

This paper develops a new technique for proving amortized, randomized cell-probe lower bounds on dynamic data structure problems. We introduce a new randomized nondeterministic four-party communication model that enables "accelerated",…

Data Structures and Algorithms · Computer Science 2016-04-12 Omri Weinstein , Huacheng Yu

Given $n$ elements, an integer $k$ and a parameter $\varepsilon$, we study to select an element with rank in $(k-n\varepsilon,k+n\varepsilon]$ using unreliable comparisons where the outcome of each comparison is incorrect independently with…

Data Structures and Algorithms · Computer Science 2022-05-04 Shengyu Huang , Chih-Hung Liu , Daniel Rutschman

Set intersection is a fundamental operation in information retrieval and database systems. This paper introduces linear space data structures to represent sets such that their intersection can be computed in a worst-case efficient way. In…

Databases · Computer Science 2011-03-15 Bolin Ding , Arnd Christian König

The element distinctness problem takes as input a list $I$ of $n$ values from a totally ordered universe and the goal is to decide whether $I$ contains any duplicates. It is a well-studied problem with a classical worst-case $\Omega(n \log…

Data Structures and Algorithms · Computer Science 2025-11-06 Ivor van der Hoog , Eva Rotenberg , Daniel Rutschmann

In this paper we consider the problem of uniformity testing with limited memory. We observe a sequence of independent identically distributed random variables drawn from a distribution $p$ over $[n]$, which is either uniform or is…

Information Theory · Computer Science 2022-06-22 Tomer Berg , Or Ordentlich , Ofer Shayevitz

A key principle in string processing is local consistency: using short contexts to handle matching fragments of a string consistently. String synchronizing sets [Kempa, Kociumaka; STOC 2019] are an influential instantiation of this…

Data Structures and Algorithms · Computer Science 2026-02-13 Jonas Ellert , Tomasz Kociumaka

Linearizability is the gold standard of correctness conditions for shared memory algorithms, and historically has been considered the practical equivalent of atomicity. However, it has been shown [1] that replacing atomic objects with…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-29 Sean Ovens , Philipp Woelfel

We solve the dynamic Predecessor Problem with high probability (whp) in constant time, using only $n^{1+\delta}$ bits of memory, for any constant $\delta > 0$. The input keys are random wrt a wider class of the well studied and practically…

Data Structures and Algorithms · Computer Science 2011-04-25 D. Belazzougui , A. C. Kaporis , P. G. Spirakis

This paper demonstrates the usefulness of distributed local verification of proofs, as a tool for the design of self-stabilizing algorithms.In particular, it introduces a somewhat generalized notion of distributed local proofs, and utilizes…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-25 Amos Korman , Shay Kutten , Toshimitsu Masuzawa

The notion of an anonymous shared memory (recently introduced in PODC 2017) considers that processes use different names for the same memory location. Hence, there is permanent disagreement on the location names among processes. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-10 Zahra Aghazadeh , Damien Imbs , Michel Raynal , Gadi Taubenfeld , Philipp Woelfel

In this work, we define the generalized wake-up problem, $GWU(s)$, for a shared memory asynchronous system with $n$ processes. Informally, the problem, which is parametrized by an increasing sequence $s = s_1,\ldots,s_p$, asks that at least…

Data Structures and Algorithms · Computer Science 2022-07-18 Siddhartha Visveswara Jayanti

Multireader shared registers are basic objects used as communication medium in asynchronous concurrent computation. We propose a surprisingly simple and natural scheme to obtain several wait-free constructions of bounded 1-writer…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Paul Vitanyi

Let $X$ be a set of items of size $n$ , which may contain some defective items denoted by $I$, where $I \subseteq X$. In group testing, a {\it test} refers to a subset of items $Q \subset X$. The test outcome is $1$ (positive) if $Q$…

Data Structures and Algorithms · Computer Science 2023-09-19 Nader H. Bshouty , Gergely Harcos

The $k$-set agreement problem is a generalization of the classical consensus problem in which processes are permitted to output up to $k$ different input values. In a system of $n$ processes, an $m$-obstruction-free solution to the problem…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-20 Carole Delporte-Gallet , Hugues Fauconnier , Petr Kuznetsov , Eric Ruppert