Enhanced Phase Clocks, Population Protocols, and Fast Space Optimal Leader Election

2021 ◽  
Vol 68 (1) ◽  
pp. 1-21
Author(s):  
Leszek Gąsieniec ◽  
Grzegorz Stachowiak
Keyword(s):  
Leader Election ◽  
Population Protocols

scholarly journals Time-Optimal Self-Stabilizing Leader Election in Population Protocols

2021 ◽  
Author(s):  
Janna Burman ◽  
Ho-Lin Chen ◽  
Hsueh-Ping Chen ◽  
David Doty ◽  
Thomas Nowak ◽  
...  
Keyword(s):  
Leader Election ◽  
Population Protocols ◽  
Time Optimal

scholarly journals Stable leader election in population protocols requires linear time

2016 ◽  
Vol 31 (4) ◽  
pp. 257-271 ◽  
Author(s):  
David Doty ◽  
David Soloveichik
Keyword(s):  
Linear Time ◽  
Leader Election ◽  
Population Protocols

scholarly journals Leader Election Requires Logarithmic Time in Population Protocols

2020 ◽  
Vol 30 (01) ◽  
pp. 2050005 ◽  
Author(s):  
Yuichi Sudo ◽  
Toshimitsu Masuzawa
Keyword(s):  
Lower Bound ◽  
High Probability ◽  
Leader Election ◽  
Stabilization Time ◽  
Population Protocols ◽  
Population Protocol ◽  
Time Optimal ◽  
Exact Size

This paper shows that every leader election protocol requires logarithmic stabilization time both in expectation and with high probability in the population protocol model. This lower bound holds even if each agent has knowledge of the exact size of a population and is allowed to use an arbitrarily large number of agent states. This lower bound concludes that the protocol given in [Sudo et al., SSS 2019] is time-optimal in expectation.

Mediated Population Protocols: Leader Election and Applications

2017 ◽  
pp. 172-186 ◽  
Author(s):  
Shantanu Das ◽  
Giuseppe Antonio Di Luna ◽  
Paola Flocchini ◽  
Nicola Santoro ◽  
Giovanni Viglietta
Keyword(s):  
Leader Election ◽  
Population Protocols

scholarly journals Loosely Stabilizing Leader Election on Arbitrary Graphs in Population Protocols without Identifiers or Random Numbers

2020 ◽  
Vol E103.D (3) ◽  
pp. 489-499 ◽  
Author(s):  
Yuichi SUDO ◽  
Fukuhito OOSHITA ◽  
Hirotsugu KAKUGAWA ◽  
Toshimitsu MASUZAWA
Keyword(s):  
Leader Election ◽  
Random Numbers ◽  
Population Protocols ◽  
Arbitrary Graphs
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