English

Crash-Tolerant Consensus in Directed Graphs

Distributed, Parallel, and Cluster Computing 2015-01-05 v2
Authors: Lewis Tseng , Nitin Vaidya
View on arXiv ↗ PDF ↗

Abstract

This work considers a point-to-point network of n nodes connected by directed links, and proves tight necessary and sufficient conditions on the underlying communication graphs for achieving consensus among these nodes under crash faults. We identify the conditions in both synchronous and asynchronous systems

Keywords

consensus protocol network topology graph theory

Cite

@article{arxiv.1412.8532,
  title  = {Crash-Tolerant Consensus in Directed Graphs},
  author = {Lewis Tseng and Nitin Vaidya},
  journal= {arXiv preprint arXiv:1412.8532},
  year   = {2015}
}

Related papers

View all related →
Distributed, Parallel, and Cluster Computing · Computer Science
Exact Byzantine Consensus in Directed Graphs
Lewis Tseng, Nitin Vaidya
2014-02-21
Dynamical Systems · Mathematics
Consensus Problems in Networks of Agents under Nonlinear Protocols with Directed Interaction Topology
Xiwei Liu, Tianping Chen
2008-04-24
Systems and Control · Electrical Eng. & Systems
On Robustness of Consensus over Pseudo-Undirected Path Graphs
Abhinav Sinha, Dwaipayan Mukherjee, Shashi Ranjan Kumar
2025-09-25
Optimization and Control · Mathematics
A Note on the Consensus Finding Problem in Communication Networks with Switching Topologies
Jan Haskovec
2014-05-06
Optimization and Control · Mathematics
Consensus in Multiagent Systems under communication failure
Mohamed Bentaibi, Laura Caravenna, Jean-Paul A. Gauthier, Francesco Rossi
2025-09-03
Systems and Control · Electrical Eng. & Systems
Synchronization in dynamical systems coupled via multiple directed networks
Chai Wah Wu
2021-05-07
Distributed, Parallel, and Cluster Computing · Computer Science
Effects of Topology Knowledge and Relay Depth on Asynchronous Consensus
Dimitris Sakavalas, Lewis Tseng, Nitin H. Vaidya
2018-05-23
Distributed, Parallel, and Cluster Computing · Computer Science
Byzantine Consensus in Directed Graphs with Message Authentication
Nitin H. Vaidya, Lewis Tseng
2026-05-13
Distributed, Parallel, and Cluster Computing · Computer Science
Fault-tolerant Consensus in Anonymous Dynamic Network
Qinzi Zhang, Lewis Tseng
2024-05-07
Distributed, Parallel, and Cluster Computing · Computer Science
Agreement in Directed Dynamic Networks
Martin Biely, Peter Robinson, Ulrich Schmid
2015-03-20
Distributed, Parallel, and Cluster Computing · Computer Science
Exact Byzantine Consensus on Arbitrary Directed Graphs under Local Broadcast Model
Muhammad Samir Khan, Lewis Tseng, Nitin H. Vaidya
2019-11-19
Systems and Control · Electrical Eng. & Systems
Group Consensus of Linear Multi-agent Systems under Nonnegative Directed Graphs
Zhongchang Liu, Wing Shing Wong
2021-11-16
Distributed, Parallel, and Cluster Computing · Computer Science
Iterative Approximate Consensus in the presence of Byzantine Link Failures
Lewis Tseng, Nitin Vaidya
2016-10-31
Systems and Control · Electrical Eng. & Systems
Max-Consensus with Deterministic Convergence in Directed Graphs with Unreliable Communication Links
Apostolos I. Rikos, Jiaqi Hu, Themistoklis Charalambous, Karl Henrik Johannson
2026-03-12
Systems and Control · Computer Science
Consensus over Weighted Directed Graphs: A Robustness Perspective
Dwaipayan Mukherjee, Daniel Zelazo
2016-09-02
Optimization and Control · Mathematics
Critical Connectivity and Fastest Convergence Rates of Distributed Consensus with Switching Topologies and Additive Noises
Ge Chen, Le Yi Wang, Chen Chen, George Yin
2017-04-26
Optimization and Control · Mathematics
Consensus in continuous-time multi-agent systems under discontinuous nonlinear protocols
Liu Bo, Lu Wenlian, Chen Tianping
2013-11-26
Systems and Control · Computer Science
Distributed Adaptive Consensus Protocols for Linear Multi-agent Systems with Directed Graphs and External Disturbances
Zhongkui Li, Zhisheng Duan
2015-02-03
Systems and Control · Electrical Eng. & Systems
Consensus over Clustered Networks Using Intermittent and Asynchronous Output Feedback
Federico M. Zegers, Sean Phillips
2025-12-12
Optimization and Control · Mathematics
Controllability and Stabilizability Analysis of Signed Consensus Networks
Siavash Alemzadeh, Mathias Hudoba de Badyn, Mehran Mesbahi
2017-07-13
Information Theory · Computer Science
Sensor Networks with Random Links: Topology Design for Distributed Consensus
Soummya Kar, Jose M. F. Moura
2009-11-13
Systems and Control · Computer Science
On finite-time and fixed-time consensus algorithms for dynamic networks switching among disconnected digraphs
David Gómez-Gutiérrez, Carlos Renato Vázquez, Sergej Čelikovský, Juan Diego Sánchez-Torres +1
2021-06-29
Distributed, Parallel, and Cluster Computing · Computer Science
Consensus in Rooted Dynamic Networks with Short-Lived Stability
Kyrill Winkler, Manfred Schwarz, Ulrich Schmid
2019-04-10
Optimization and Control · Mathematics
Modulus Consensus over Networks with Antagonistic Interactions and Switching Topologies
Ziyang Meng, Guodong Shi, Karl H. Johansson, Ming Cao +1
2016-04-21
Multiagent Systems · Computer Science
Average Consensus in the Presence of Delays and Dynamically Changing Directed Graph Topologies
Christoforos N. Hadjicostis, Themistoklis Charalambous
2013-02-25
R2 v1 2026-06-22T07:46:34.899Z