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Majority consensus and the local majority rule

Publication ,  Conference
Mustafa, NH; Pekeč, A
Published in: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
January 1, 2001

We study a rather generic communication/coordination/computation problem: in a finite network of agents, each initially having one of the two possible states, can the majority initial state be computed and agreed upon by means of local computation only? We describe the architecture of networks that are always capable of reaching the consensus on the majority initial state of its agents. In particular, we show that, for any truly local network of agents, there are instances in which the network is not capable of reaching such consensus. Thus, every truly local computation approach that requires reaching consensus is not failurefree. © 2011 Springer-Verlag Berlin Heidelberg.

Duke Scholars

Published In

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

DOI

EISSN

1611-3349

ISSN

0302-9743

ISBN

9783540422877

Publication Date

January 1, 2001

Volume

2076 LNCS

Start / End Page

530 / 542

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences
 

Citation

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Mustafa, N. H., & Pekeč, A. (2001). Majority consensus and the local majority rule. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2076 LNCS, pp. 530–542). https://doi.org/10.1007/3-540-48224-5_44
Mustafa, N. H., and A. Pekeč. “Majority consensus and the local majority rule.” In Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2076 LNCS:530–42, 2001. https://doi.org/10.1007/3-540-48224-5_44.
Mustafa NH, Pekeč A. Majority consensus and the local majority rule. In: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2001. p. 530–42.
Mustafa, N. H., and A. Pekeč. “Majority consensus and the local majority rule.” Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2076 LNCS, 2001, pp. 530–42. Scopus, doi:10.1007/3-540-48224-5_44.
Mustafa NH, Pekeč A. Majority consensus and the local majority rule. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 2001. p. 530–542.
Journal cover image

Published In

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

DOI

EISSN

1611-3349

ISSN

0302-9743

ISBN

9783540422877

Publication Date

January 1, 2001

Volume

2076 LNCS

Start / End Page

530 / 542

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences