Title
Randomized rendez-vous with limited memory
Abstract
We present a tradeoff between the expected time for two identical agents to rendez-vous on a synchronous, anonymous, oriented ring and the memory requirements of the agents. In particular, we show that there exists a 2t state agent, which can achieve rendez-vous 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
2008
10.1007/978-3-540-78773-0_52
LATIN
Keywords
Field
DocType
log log n,oriented ring,state agent,n node ring,expected time,limited memory,memory requirement,identical agent,randomized rendez-vous,linear time,distributed computing
Log-log plot,Discrete mathematics,Combinatorics,Existential quantification,Computer science,Mobile agent,Rendezvous,Time complexity,Corollary
Conference
Volume
ISSN
ISBN
4957
0302-9743
3-540-78772-0
Citations 
PageRank 
References 
19
0.69
19
Authors
3
Name
Order
Citations
PageRank
Evangelos Kranakis13107354.48
Danny Krizanc21778191.04
Pat Morin31610178.95