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In a multiple access channel, autonomous stations are able to transmit and listen to a shared device. A fundamental problem, called \textit{contention resolution}, is to allow any station to successfully deliver its message by resolving the…

Information Theory · Computer Science 2022-10-04 Gianluca De Marco , Dariusz R. Kowalski , Grzegorz Stachowiak

Consider a clique of n nodes, where in each synchronous round each pair of nodes can exchange O(log n) bits. We provide deterministic constant-time solutions for two problems in this model. The first is a routing problem where each node is…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-05-13 Christoph Lenzen

In this paper, we study the robust consensus problem for a set of discrete-time linear agents to coordinate over an uncertain communication network, which is to achieve consensus against the transmission errors and noises resulted from the…

Systems and Control · Computer Science 2017-03-30 Zhongkui Li , Jie Chen

We propose a novel relaxation of the classic asynchronous network model, called the random asynchronous model, which removes adversarial message scheduling while preserving unbounded message delays and Byzantine faults. Instead of an…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-27 George Danezis , Jovan Komatovic , Lefteris Kokoris-Kogias , Alberto Sonnino , Igor Zablotchi

Population protocols are a formal model of sensor networks consisting of identical mobile devices. Two devices can interact and thereby change their states. Computations are infinite sequences of interactions in which the interacting…

Logic in Computer Science · Computer Science 2018-07-03 Michael Blondin , Javier Esparza , Antonín Kučera

We consider the average-consensus problem in a multi-node network of finite size. Communication between nodes is modeled by a sequence of directed signals with arbitrary communication delays. Four distributed algorithms that achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-23 Kevin Topley , Vikram Krishnamurthy

We observe message-efficient distributed algorithms for the Set Cover problem. Given a ground set $U$ of $n$ elements and $m$ subsets of $U$, we aim to find the minimal number of these subsets that contain all elements. In the default…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-02 Thorsten Götte , Christina Kolb , Christian Scheideler , Julian Werthmann

Consensus and Broadcast are two fundamental problems in distributed computing, whose solutions have several applications. Intuitively, Consensus should be no harder than Broadcast, and this can be rigorously established in several models.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-17 Andrea Clementi , Luciano Gualà , Emanuele Natale , Francesco Pasquale , Giacomo Scornavacca , Luca Trevisan

We demonstrate sufficiency of events-based synchronisation for solving deterministic fault-tolerant consensus in asynchrony. Main result is an algorithm that terminates with valid vector agreement, hence operates with safety, liveness, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-03 Ivan Klianev

We study a distributed consensus problem on a complete communication network of $n$ vertices, each holding one of two opinions. The vertices communicate in rounds, possibly in the presence of adversarial noise, and exchange information…

Combinatorics · Mathematics 2026-05-20 Julian Becker , Konstantinos Panagiotou

We study the self-stabilizing leader election problem in anonymous $n$-nodes networks. Achieving self-stabilization with low space memory complexity is particularly challenging, and designing space-optimal leader election algorithms remains…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-20 Lelia Blin , Sylvain Gay , Isabella Ziccardi

Distributed ledgers are common in the industry. Some of them can use blockchains as their underlying infrastructure. A blockchain requires participants to agree on its contents. This can be achieved via a consensus protocol, and several BFT…

Performance · Computer Science 2024-11-13 J. D. Chan , Y. C. Tay , Brian R. Z. Yen

This work addresses the inherent issues of high latency in blockchains and low scalability in traditional consensus protocols. We present pod, a novel notion of consensus whose first priority is to achieve the physically-optimal latency of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-05 Orestis Alpos , Bernardo David , Jakov Mitrovski , Odysseas Sofikitis , Dionysis Zindros

Generally, system failures, such as crash failures, Byzantine failures and so on, are considered as common reasons for the inconsistencies of distributed consensus and have been extensively studied. In fact, strategic manipulations by…

Computer Science and Game Theory · Computer Science 2022-09-07 Yansong Zhang , Bo Shen , Yingsi Zhao

This paper studies the distributed mode consensus problem in a multi-agent system, in which the agents each possess a certain attribute and they aim to agree upon the mode (the most frequent attribute owned by the agents) via distributed…

Systems and Control · Electrical Eng. & Systems 2024-03-04 Chao Huang , Hyungbo Shim , Siliang Yu , Brian D. O. Anderson

This work studies consensus strategies for networks of agents with limited memory, computation, and communication capabilities. We assume that agents can process only values from a finite alphabet, and we adopt the framework of finite…

Systems and Control · Computer Science 2013-01-22 Fabio Pasqualetti , Domenica Borra , Francesco Bullo

We consider a linear consensus system with n agents that can switch between r different connectivity patterns. A natural question is which switching law yields the best (or worst) possible speed of convergence to consensus? We formulate…

Optimization and Control · Mathematics 2014-07-10 Orel Ron , Michael Margaliot , Michael S. Branicky

We consider the fundamental problem of multiple stations competing to transmit on a multiple access channel (MAC). We are given $n$ stations out of which at most $d$ are active and intend to transmit a message to other stations using MAC.…

Data Structures and Algorithms · Computer Science 2013-08-06 Shailesh Vaya

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

Energy is often the most constrained resource for battery-powered wireless devices and the lion's share of energy is often spent on transceiver usage (sending/receiving packets), not on computation. In this paper we study the energy…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-07 Yi-Jun Chang , Tsvi Kopelowitz , Seth Pettie , Ruosong Wang , Wei Zhan