Title
Brief Announcement: Population Protocols for Leader Election and Exact Majority with O(log2 n) States and O(log2 n) Convergence Time.
Abstract
We consider the model of population protocols, which can be viewed as a sequence of random pairwise interactions of n agents (nodes). During each interaction, two agents v and w selected uniformly at random update their states on the basis of their current states, and the whole system should in long run converge towards a desired global final configuration. We study population protocols for two problems: the leader election and the exact majority voting. Both protocols use Θ(log2 n) states per agent and run in O(log2 n) rounds (the number of interactions divided by n), w.h.p. and in expectation, improving on the running time of the Θ(log2 n)-state protocols proposed recently by Alistarh et al. [SODA 2017]. Our protocols are based on the idea of agents counting their local interactions and rely on the probabilistic fact that the uniform random selection would limit the divergence of the individual counts.
Year
DOI
Venue
2017
10.1145/3087801.3087858
PODC
Keywords
Field
DocType
Population protocols, leader election, exact majority
Convergence (routing),Leader election,Population,Pairwise comparison,Theoretical computer science,Sampling (statistics),Probabilistic logic,Majority rule,Mathematics,Distributed computing
Conference
Citations 
PageRank 
References 
0
0.34
6
Authors
4
Name
Order
Citations
PageRank
Andreas Bilke100.34
Colin Cooper285791.88
Robert Elsässer310413.93
Tomasz Radzik400.34