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In this paper, we explore the problem of iterative approximate Byzantine consensus in arbitrary directed graphs.
The Byzantine generals problem
Leslie Lamport, Robert Shostak, and Marshall Pease · 1982
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Easy impossibility proofs for distributed consensus problems
Michael J. Fischer, Nancy A. Lynch, and Michael Merritt · 1985
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Reaching approximate agreement in the presence of faults
Danny Dolev, Nancy A. Lynch, Shlomit S. Pinter, Eugene W. Stark, and William E. Weihl · 1986
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Asymptotically optimal algorithms for approximate agreement
A. D. Fekete · 1986
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Low cost approximate agreement in partially connected networks
R. M. Kieckhafer and M. H. Azadmanesh · 1993
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Distributed Algorithms
Nancy A. Lynch · 1996
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Parallel and Distributed Computation: Numerical Methods
Dimitri P. Bertsekas and John N. Tsitsiklis · 1997
Cited alongside, same era.
Global convergence in partially fully connected networks (pfcn) with limited relays
A.H. Azadmanesh and H. Bajwa · 2001
Cited alongside, same era.
Asynchronous approximate agreement in partially connected networks
M. H. Azadmanesh and R.M. Kieckhafer · 2002
Cited alongside, same era.
Chord: a scalable peer-to-peer lookup protocol for internet applications
I. Stoica, R. Morris, D. Liben-Nowell, D.R. Karger, M.F. Kaashoek, F. Dabek, and H. Balakrishnan · 2003
Cited alongside, same era.
Exploiting markov chains to reach approximate agreement in partially connected networks
Satish M. Srinivasana and Azad H. Azadmanesh · 2007
Cited alongside, same era.
Data aggregation in partially connected networks
Satish M. Srinivasan and Azad H. Azadmanesh · 2009
Simple gradecast based algorithms
Michael Ben-Or, Danny Dolev, and Ezra N. Hoch · 2010
Later among the works it cites.
Heath LeBlanc and Xenofon Koutsoukos. “Consensus in Networked Multi-Agent Systems with Adversaries,” 14th international conference on Hybrid systems: computation and control (HSCC), 2011
2011
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Distributed function calculation via linear iterative strategies in the presence of malicious agents
S. Sundaram and C.N. Hadjicostis · 2011
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Robustness of Information Diffusion Algorithms to Locally Bounded Adversaries
Haotian Zhang and Shreyas Sundaram · 2011
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Cited alongside, same era.
2012
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(via personal communication with S. Sundaram, January 18, 2012) Heath LeBlanc, Haotian Zhang, Shreyas Sundaram, and Xenofon Koutsoukos. “Consensus of Multi-Agent Networks in the Presence of Adversaries Using Only Local Information,” submitted to HiCoNs 2012
2012
Closest in time.