Efficient k-shot broadcasting in radio networks

Erez Kantor, David Peleg

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

4 Scopus citations


The paper concerns time-efficient k-shot broadcasting in undirected radio networks. In a k-shot broadcasting algorithm, each node in the network is allowed to transmit at most k times. Both known and unknown topology models are considered. For the known topology model, the problem has been studied before by Ga̧sieniec et al. [14], who established an upper bound of D+O(kn 1/(k-2)log2 n) and a lower bound of on the length of k-shot broadcasting schedules for n-node graphs of diameter D. We improve both the upper and the lower bound, providing a randomized algorithm for constructing a k-shot broadcasting schedule of length D+O(kn 1/2k log 2+1/k n) on undirected graphs, and a lower bound of , which almost closes the gap between these bounds. For the unknown topology model, we provide the first k-shot broadcasting algorithm. Assuming that each node knows only the network size n (or a linear upper bound on it), our randomized k-shot broadcasting algorithm completes broadcasting in O((D+min {D •k,logn}) •n 1/(k-1)logn) rounds with high probability. Moreover, we present an -shot broadcasting algorithm that completes broadcasting in at most O(Dlogn+log2 n) rounds with high probability. This algorithm matches the broadcasting time of the algorithm of Bar-Yehuda et al. [3], which assumes no limitation on the maximum number of transmissions per node.

Original languageEnglish
Title of host publicationDistributed Computing - 23rd International Symposium, DISC 2009, Proceedings
Number of pages15
StatePublished - 2009
Externally publishedYes
Event23rd International Symposium on Distributed Computing, DISC 2009 - Elche, Spain
Duration: 23 Sep 200925 Sep 2009

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5805 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference23rd International Symposium on Distributed Computing, DISC 2009

Bibliographical note

Funding Information:
Supported in part by grants from the Minerva Foundation and the Israel Ministry of Science.


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