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arXiv · 1701.06800

Linear-Time Data Dissemination in Dynamic Networks

Manfred Schwarz·Martin Zeiner·Ulrich Schmid
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Abstract

Broadcasting and convergecasting are pivotal services in distributed systems, in particular, in wireless ad-hoc and sensor networks, which are characterized by time- varying communication graphs. We study the question of whether it is possible to disseminate data available locally at some process to all n processes in sparsely connected synchronous dynamic networks with directed links in linear time. Recently, Charron-Bost, Függer and Nowak proved an upper bound of O(n log n) rounds for the case where every communication graph is an arbitrary directed rooted tree. We present a new formalism, which not only facilitates a concise proof of this result, but also allows us to prove that O(n) data dissemination is possible when the number of leaves of the rooted trees are bounded by a constant. In the special case of rooted chains, only (n-1) rounds are needed. Our approach can also be adapted for undirected networks, where only (n-1)/2 rounds in the case of arbitrary chain graphs are needed.

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Manfred Schwarz, Martin Zeiner, Ulrich Schmid. 2017-03-29. Linear-Time Data Dissemination in Dynamic Networks. https://arxiv.org/abs/1701.06800

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