Abstract
This paper presents an efficient randomized emulation of single-hop radio network with collision detection on multi-hop radio network without collision detection. Each step of the single-hop network is emulated by O((D+logn/ɛ)logΔ) rounds of the multi-hop network and succeeds with probability≥1−ɛ. (n is the number of processors, D the diameter and Δ the maximum degree). It is shown how to emulate any polynomial algorithm such the probability of failure remains ≤ɛ.
A consequence of the emulation is an efficient randomized algorithm for choosing a leader in a multi-hop network.
Partially supported by Technion V.P.R. Fund — Albert Einstein Research Fund.
Partially supported by grant No. 86-00301 from the United States — Israel Bi-national Science Foundation (BSF), Jerusalem, Israel.
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© 1989 Springer-Verlag Berlin Heidelberg
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Bar-Yehuda, R., Goldreich, O., Itai, A. (1989). Efficient emulation of single-hop radio network with collision detection on multi-hop radio network with no collision detection. In: Bermond, JC., Raynal, M. (eds) Distributed Algorithms. WDAG 1989. Lecture Notes in Computer Science, vol 392. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51687-5_29
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DOI: https://doi.org/10.1007/3-540-51687-5_29
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