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Randomized Rendez-Vous with Limited Memory

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LATIN 2008: Theoretical Informatics (LATIN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4957))

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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( n 2/2t + 2t ) and that any t/2 state agent requires expected time Ω( n 2/2t ). As a corollary we observe that Θ(loglogn) bits of memory are necessary and sufficient to achieve rendez-vous in linear time.

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Authors and Affiliations

  1. School of Computer Science, Carleton University,  

    Evangelos Kranakis & Pat Morin

  2. Department of Mathematics and Computer Science, Wesleyan University,  

    Danny Krizanc

Authors
  1. Evangelos Kranakis
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  2. Danny Krizanc
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  3. Pat Morin
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Eduardo Sany Laber Claudson Bornstein Loana Tito Nogueira Luerbio Faria

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Kranakis, E., Krizanc, D., Morin, P. (2008). Randomized Rendez-Vous with Limited Memory. In: Laber, E.S., Bornstein, C., Nogueira, L.T., Faria, L. (eds) LATIN 2008: Theoretical Informatics. LATIN 2008. Lecture Notes in Computer Science, vol 4957. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78773-0_52

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  • DOI: https://doi.org/10.1007/978-3-540-78773-0_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78772-3

  • Online ISBN: 978-3-540-78773-0

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