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We consider the problem of clock synchronization in a wireless setting where processors must power-down their radios in order to save energy. Energy efficiency is a central goal in wireless networks, especially if energy resources are…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-17 Leonid Barenboim , Shlomi Dolev , Rafail Ostrovsky

A key technique for controlling numerical stability in sparse direct solvers is threshold partial pivoting. When selecting a pivot, the entire candidate pivot column below the diagonal must be up-to-date and must be scanned. If the…

Numerical Analysis · Mathematics 2013-05-13 Jonathan Hogg , Jennifer Scott

Consider a complete communication network of $n$ nodes, where the nodes receive a common clock pulse. We study the synchronous $c$-counting problem: given any starting state and up to $f$ faulty nodes with arbitrary behaviour, the task is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-24 Christoph Lenzen , Joel Rybicki , Jukka Suomela

This paper is devoted to deterministic consensus in synchronous dynamic networks with unidirectional links, which are under the control of an omniscient message adversary. Motivated by unpredictable node/system initialization times and…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-06 Manfred Schwarz , Kyrill Winkler , Ulrich Schmid

The test-and-set object is a fundamental synchronization primitive for shared memory systems. A test-and-set object stores a bit, initialized to 0, and supports one operation, test&set(), which sets the bit's value to 1 and returns its…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-23 George Giakkoupis , Maryam Helmi , Lisa Higham , Philipp Woelfel

We show that randomization can lead to significant improvements for a few fundamental problems in distributed tracking. Our basis is the {\em count-tracking} problem, where there are $k$ players, each holding a counter $n_i$ that gets…

Data Structures and Algorithms · Computer Science 2011-12-05 Zengfeng Huang , Ke Yi , Qin Zhang

In the stabilizing consensus problem, each agent of a networked system has an input value and is repeatedly writing an output value; it is required that eventually all the output values stabilize to the same value which, moreover, must be…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-24 Bernadette Charron-Bost , Shlomo Moran

In this paper we study the difficulty of counting nodes in a synchronous dynamic network where nodes share the same identifier, they communicate by using a broadcast with unlimited bandwidth and, at each synchronous round, network topology…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-14 Giuseppe Antonio Di Luna , Roberto Baldoni

A distributed algorithm is self-stabilizing if after faults and attacks hit the system and place it in some arbitrary global state, the systems recovers from this catastrophic situation without external intervention in finite time.…

Data Structures and Algorithms · Computer Science 2009-09-29 Samuel Bernard , Stéphane Devismes , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

We study the wake-up problem in distributed networks, where an adversary awakens a subset of nodes at arbitrary times, and the goal is to wake up all other nodes as quickly as possible by sending only few messages. We prove the following…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Peter Robinson , Ming Ming Tan

Despite the apparent similarity between shared randomness and shared entanglement in the context of Communication Complexity, our understanding of the latter is not as good as of the former. In particular, there is no known "entanglement…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky

In the online matching on the line problem, the task is to match a set of requests $R$ online to a given set of servers $S$. The distance metric between any two points in $R\,\cup\, S$ is a line metric and the objective for the online…

Data Structures and Algorithms · Computer Science 2017-12-20 Antonios Antoniadis , Carsten Fischer , Andreas Tönnis

The paper presents three self-stabilizing protocols for basic fair and reliable link communication primitives. We assume a link-register communication model under read/write atomicity, where every process can read from but cannot write into…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-12 Colette Johnen , Ivan Lavallee , Christian Lavault

Population protocols are a model of computation in which an arbitrary number of anonymous finite-memory agents are interacting in order to decide by stable consensus a predicate. In this paper, we focus on the counting predicates that asks,…

Logic in Computer Science · Computer Science 2022-03-25 Jérôme Leroux

This paper focuses on studying the message complexity of implicit leader election in synchronous distributed networks of diameter two. Kutten et al.\ [JACM 2015] showed a fundamental lower bound of $\Omega(m)$ ($m$ is the number of edges in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-05 Soumyottam Chatterjee , Gopal Pandurangan , Peter Robinson

A communication network is said to be "anonymous" if its agents are indistinguishable from each other; it is "dynamic" if its communication links may appear or disappear unpredictably over time. Assuming that each of the $n$ agents of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 Giuseppe A. Di Luna , Giovanni Viglietta

This paper studies a variant of the \emph{leader election} problem under the \emph{stone age} model (Emek and Wattenhofer, PODC 2013) that considers a network of $n$ randomized finite automata with very weak communication capabilities (a…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Yehuda Afek , Yuval Emek , Noa Kolikant

Self-stabilization is a versatile fault-tolerance approach that characterizes the ability of a system to eventually resume a correct behavior after any finite number of transient faults. In this paper, we propose a self-stabilizing reset…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-23 Stéphane Devismes , Colette Johnen

Much work has been developed for studying the classical broadcasting problem in the SINR (Signal-to-Interference-plus-Noise-Ratio) model for wireless device transmission. The setting typically studied is when all radio nodes transmit a…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-08-18 William K. Moses , Shailesh Vaya

We present a tight analysis for the well-studied randomized 3-majority dynamics of stabilizing consensus, hence answering the main open question of Becchetti et al. [SODA'16]. Consider a distributed system of n nodes, each initially holding…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-17 Mohsen Ghaffari , Johannes Lengler