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This paper concerns designing distributed algorithms that are {\em singularly optimal}, i.e., algorithms that are {\em simultaneously} time and message {\em optimal}, for the fundamental leader election problem in {\em asynchronous}…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-13 Shay Kutten , William K. Moses , Gopal Pandurangan , David Peleg

We study a well-known communication abstraction called Uniform Reliable Broadcast (URB). URB is central in the design and implementation of fault-tolerant distributed systems, as many non-trivial fault-tolerant distributed applications…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-13 Oskar Lundström , Michel Raynal , Elad M. Schiller

In this paper we consider a network of processors aiming at cooperatively solving linear programming problems subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2019-08-27 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Roland Bouffanais

We investigate leader election problem via ranking within self-stabilising population protocols. In this scenario, the agent's state space comprises $n$ rank states and $x$ extra states. The initial configuration of $n$ agents consists of…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-06 Leszek Gąsieniec , Tytus Grodzicki , Grzegorz Stachowiak

Leader election is one of the fundamental and well-studied problems in distributed computing. In this paper, we initiate the study of leader election using mobile agents. Suppose $n$ agents are positioned initially arbitrarily on the nodes…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-24 Ajay D. Kshemkalyani , Manish Kumar , Anisur Rahaman Molla , Gokarna Sharma

Given a boolean predicate $\Pi$ on labeled networks (e.g., proper coloring, leader election, etc.), a self-stabilizing algorithm for $\Pi$ is a distributed algorithm that can start from any initial configuration of the network (i.e., every…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Lélia Blin , Laurent Feuilloley , Gabriel Le Bouder

In this paper we design and prove correct a fully dynamic distributed algorithm for maintaining an approximate Steiner tree that connects via a minimum-weight spanning tree a subset of nodes of a network (referred as Steiner members or…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Lélia Blin , Maria Gradinariu Potop-Butucaru , Stephane Rovedakis

We consider the problem of self-stabilizing leader election in the population model by Angluin, Aspnes, Diamadi, Fischer, and Peralta (JDistComp '06). The population model is a well-established and powerful model for asynchronous,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-05 Henry Austin , Petra Berenbrink , Tom Friedetzky , Thorsten Götte , Lukas Hintze

We propose a self-stabilizing leader election (SS-LE) protocol on ring networks in the population protocol model. Given a rough knowledge $\psi = \lceil \log n \rceil + O(1)$ on the population size $n$, the proposed protocol lets the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-16 Daisuke Yokota , Yuichi Sudo , Fukuhito Ooshita , Toshimitsu Masuzawa

We present a self-stabilizing algorithm for the (asynchronous) unison problem which achieves an efficient trade-off between time, workload, and space in a weak model. Precisely, our algorithm is defined in the atomic-state model and works…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-04 Stéphane Devismes , David Ilcinkas , Colette Johnen , Frédéric Mazoit

We present a uniform self-stabilizing algorithm, which solves the problem of distributively finding a minimum diameter spanning tree of an arbitrary positively real-weighted graph. Our algorithm consists in two stages of stabilizing…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-12 Franck Butelle , Christian Lavault , Marc Bui

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

We deal with the problem of maintaining a shortest-path tree rooted at some process r in a network that may be disconnected after topological changes. The goal is then to maintain a shortest-path tree rooted at r in its connected component,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-01 Stéphane Devismes , David Ilcinkas , Colette Johnen

Censor-Hillel, Cohen, Gelles, and Sela (PODC 2022 & Distributed Computing 2023) studied fully-defective asynchronous networks, where communication channels may suffer an extreme form of alteration errors, rendering messages completely…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-20 Jérémie Chalopin , Yi-Jun Chang , Lyuting Chen , Giuseppe A. Di Luna , Haoran Zhou

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

Distributed optimization requires nodes to coordinate, yet full synchronization scales poorly. When $n$ nodes collaborate through $m$ pairwise regularizers, standard methods demand $\mathcal{O}(m)$ communications per iteration. This paper…

Machine Learning · Computer Science 2025-09-19 Ying Lin , Yao Kuang , Ahmet Alacaoglu , Michael P. Friedlander

Population protocols are networks of finite-state agents, interacting randomly, and updating their states using simple rules. Despite their extreme simplicity, these systems have been shown to cooperatively perform complex computational…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-18 Dan Alistarh , Rati Gelashvili

We present distributed randomized leader election protocols for multi-hop radio networks that elect a leader in almost the same time $T_{BC}$ required for broadcasting a message. For the setting without collision detection, our algorithm…

Data Structures and Algorithms · Computer Science 2014-04-04 Mohsen Ghaffari , Bernhard Haeupler

The problem of total-order (uniform reliable) broadcast is fundamental in fault-tolerant distributed computing since it abstracts a broad set of problems requiring processes to uniformly deliver messages in the same order in which they were…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-30 Oskar Lundström , Michel Raynal , Elad Michael Schiller

We study the leader election problem in oriented ring networks under content-oblivious asynchronous message-passing systems, where an adversary may arbitrarily corrupt message contents. Frei et al. (DISC 2024) presented a uniform…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-24 Jérémie Chalopin , Yi-Jun Chang , Lyuting Chen , Giuseppe A. Di Luna , Haoran Zhou