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arXiv 1502.00378cs.DC
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在高度动态分布系统中实现最小支配集

Enabling Minimal Dominating Set in Highly Dynamic Distributed Systems

Swan Dubois, Mohamed-Hamza Kaaouachi, Franck Petit

摘要:

我们解决的问题,计算一个最小的支配集在高度动态的分布式系统。我们假设弱连通性,即,网络可能在每个时刻断开,并且拓扑变化是不可预测的。我们对通信只做了很弱的假设:每个过程都可以无限地与其他过程通信(不一定是直接通信)。我们的贡献是三方面的。首先,我们提出了一个新的最小支配集的定义,适合于时变图的情况下,似乎比现有的更相关。接下来,我们提供了一个必要和充分的拓扑条件存在的一个确定性算法的最小支配集建设在我们的设置。最后,我们提出了一种新的衡量时变图的时间复杂度,以允许算法之间的公平比较。事实上,这种措施考虑到通信延迟归因于动态的图形,而不是算法。

英文摘要:

We address the problem of computing a Minimal Dominating Set in highly dynamic distributed systems. We assume weak connectivity, i.e., the network may be disconnected at each time instant and topological changes are unpredictable. We make only weak assumptions on the communication: every process is infinitely often able to communicate with other processes (not necessarily directly). Our contribution is threefold. First, we propose a new definition of minimal dominating set suitable for the context of time-varying graphs that seems more relevant than existing ones. Next, we provide a necessary and sufficient topological condition for the existence of a deterministic algorithm for minimal dominating set construction in our settings. Finally, we propose a new measure of time complexity in time-varying graph in order to to allow fair comparison between algorithms. Indeed, this measure takes account of communication delays attributable to dynamicity of the graph and not to the algorithms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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