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Distributed multi-broadcast in unknown radio networks

Published: 01 August 2001 Publication History

Abstract

One of the most frequent tasks in multi-hop synchronous radio networks is the multi-broadcast operation: it consists in performing r independent message broadcasts through a network of n nodes. We investigate the case in which messages have logarithmic bounded size and the nodes have no knowledge of the topology (i.e. unknown networks).
Let D and c be the maximum eccentricity and the congestion of the network, respectively. First, we prove an Ω(c+(D+c/log c) log n) lower bound on the number of time-slots required to complete a multi-broadcast operation by any deterministic distributed protocol. Secondly, we prove an Ω(c+(c/log c)log n + D log(n/D)) lower bound for randomized distributed protocols. An important consequence is that “perfect pipeline” is not achievable for both deterministic and randomized protocols.
Finally, for any constant α > 0, we provide an O((D + c)d2 log(2+α) n) deterministic upper bound for the same task where d is the maximum in-degree of the network. Our (non-constructive) deterministic distributed protocol is thus almost optimal when d = O(polylogn) and it can be converted into an efficiently constructible one having O((D + c)d2 log(3+α) n) completion time.

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cover image ACM Conferences
PODC '01: Proceedings of the twentieth annual ACM symposium on Principles of distributed computing
August 2001
323 pages
ISBN:1581133839
DOI:10.1145/383962
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 August 2001

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PODC '01 Paper Acceptance Rate 39 of 118 submissions, 33%;
Overall Acceptance Rate 740 of 2,477 submissions, 30%

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