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This paper considers the Byzantine consensus problem for nodes with binary inputs. The nodes are interconnected by a network represented as an undirected graph, and the system is assumed to be synchronous. Under the classical point-to-point…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-29 Muhammad Samir Khan , Syed Shalan Naqvi , Nitin H. Vaidya

We consider Byzantine consensus in a synchronous system where nodes are connected by a network modeled as a directed graph, i.e., communication links between neighboring nodes are not necessarily bi-directional. The directed graph model is…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-19 Muhammad Samir Khan , Lewis Tseng , Nitin H. Vaidya

The Byzantine agreement problem is considered to be a core problem in distributed systems. For example, Byzantine agreement is needed to build a blockchain, a totally ordered log of records. Blockchains are asynchronous distributed systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-27 Ye Wang , Roger Wattenhofer

Traditional Byzantine resilient algorithms use 2f+1 vertex disjoint paths to ensure message delivery in the presence of up to f Byzantine nodes. The question of how these paths are identified is related to the fundamental problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-31 Shlomi Dolev , Omri Liba , Elad M. Schiller

Given a network in which some pairs of nodes can communicate freely, and some subsets of the nodes could be faulty and colluding to disrupt communication, when can messages reliably be sent from one given node to another? We give a new…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-11 Adam Hesterberg , Andrea Lincoln , Jayson Lynch

Achieving agreement among distributed parties is a fundamental task in modern systems, underpinning applications such as consensus in blockchains, coordination in cloud infrastructure, and fault tolerance in critical services. However, this…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-18 Andrei Constantinescu , Marc Dufay , Anton Paramonov , Roger Wattenhofer

We address a fundamental problem in Peer-to-Peer (P2P) networks, namely, constructing and maintaining dynamic P2P overlay network topologies with essential properties such as connectivity, low diameter, and high expansion, that are…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-18 Aayush Gupta , Gopal Pandurangan

Ensuring reliable communication despite possibly malicious participants is a primary objective in any distributed system or network. In this paper, we investigate the possibility of reliable broadcast in a dynamic network whose topology may…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Silvia Bonomi , Giovanni Farina , Sébastien Tixeuil

This paper considers the problem of achieving exact Byzantine consensus in a synchronous system under a local-broadcast communication model. The nodes communicate with each other via message-passing. The communication network is modeled as…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-22 Syed Shalan Naqvi , Muhammad Samir Khan , Nitin H. Vaidya

This paper considers the problem of reliable broadcast in asynchronous authenticated systems, in which n processes communicate using signed messages and up to t processes may behave arbitrarily (Byzantine processes). In addition, for each…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-23 Timothé Albouy , Davide Frey , Michel Raynal , François Taïani

Network coding achieves optimal throughput in multicast networks. However, throughput optimality \emph{relies} on the network nodes or routers to code \emph{correctly}. A Byzantine node may introduce junk packets in the network (thus…

Networking and Internet Architecture · Computer Science 2011-08-11 Raluca Ada Popa , Alessandro Chiesa , Tural Badirkhanli , Muriel Médard

Byzantine agreement algorithms typically assume implicit initial state consistency and synchronization among the correct nodes and then operate in coordinated rounds of information exchange to reach agreement based on the input values. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-08-04 Ariel Daliot , Danny Dolev

Traditional resilient systems operate on fully-replicated fault-tolerant clusters, which limits their scalability and performance. One way to make the step towards resilient high-performance systems that can deal with huge workloads, is by…

Databases · Computer Science 2021-08-20 Jelle Hellings , Mohammad Sadoghi

Byzantine agreement is a fundamental problem in fault-tolerant distributed networks that has been studied intensively for the last four decades. Most of these works designed protocols for complete networks. A key goal in Byzantine protocols…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-29 John Augustine , Fabien Dufoulon , Gopal Pandurangan

The Reliable Broadcast concept allows an honest party to send a message to all other parties and to make sure that all honest parties receive this message. In addition, it allows an honest party that received a message to know that all…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-17 Danny Dolev , Meir Spielrien

Secure networks rely upon players to maintain security and reliability. However not every player can be assumed to have total loyalty and one must use methods to uncover traitors in such networks. We use the original concept of the…

Cryptography and Security · Computer Science 2007-05-23 Liam Wagner , Stuart McDonald

Distributed learning has many computational benefits but is vulnerable to attacks from a subset of devices transmitting incorrect information. This paper investigates Byzantine-resilient algorithms in a decentralized setting, where devices…

Machine Learning · Computer Science 2025-07-04 Renaud Gaucher , Aymeric Dieuleveut , Hadrien Hendrikx

Random linear network coding can be used in peer-to-peer networks to increase the efficiency of content distribution and distributed storage. However, these systems are particularly susceptible to Byzantine attacks. We quantify the impact…

Networking and Internet Architecture · Computer Science 2016-11-17 MinJi Kim , Luísa Lima , Fang Zhao , Joao Barros , Muriel Medard , Ralf Koetter , Ton Kalker , Keesook Han

In this work, we study the approximate consensus problem in asynchronous message-passing networks where some nodes may become Byzantine faulty. We answer an open problem raised by Tseng and Vaidya, 2012, proposing the first algorithm of…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-21 Dimitris Sakavalas , Lewis Tseng , Nitin H. Vaidya

In this work we consider Byzantine Consensus on undirected communication graphs under the local broadcast model. In the classical point-to-point communication model the messages exchanged between two nodes $u, v$ on an edge $uv$ of $G$ are…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-16 Muhammad Samir Khan , Nitin H. Vaidya