Title
Randomized rendezvous with limited memory
Abstract
We present a trade-off between the expected time for two identical agents to rendezvous on a synchronous, anonymous, oriented ring and the memory requirements of the agents. In particular, we show there exists a 2t state agent which can achieve rendezvous on an n-node ring in expected time O(n2/2t + 2t) and that any t/2 state agent requires expected time Ω(n2/2t). As a corollary we observe that Θ(log log n) bits of memory are necessary and sufficient to achieve rendezvous in linear time.
Year
DOI
Venue
2011
10.1145/1978782.1978789
ACM Transactions on Algorithms
Keywords
Field
DocType
log log n,oriented ring,state agent,randomized rendezvous,n-node ring,expected time,limited memory,memory requirement,identical agent,linear time,distributed computing
Log-log plot,Discrete mathematics,Combinatorics,Existential quantification,Rendezvous,Corollary,Time complexity,Mathematics
Journal
Volume
Issue
ISSN
7
3
1549-6325
Citations 
PageRank 
References 
4
0.38
18
Authors
3
Name
Order
Citations
PageRank
Evangelos Kranakis13107354.48
Danny Krizanc21778191.04
Pat Morin31610178.95