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arXiv 1907.03565cs.DC
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分布式网络算法的拓扑透视

A Topological Perspective on Distributed Network Algorithms

Armando Castañeda, Pierre Fraigniaud, Ami Paz, Sergio Rajsbaum, Matthieu Roy, Corentin Travers

摘要:

二十多年前,组合拓扑被证明是有用的分析分布式容错算法在共享内存系统和消息传递系统。在这项工作中,我们表明,组合拓扑结构也可以用于分析分布式算法在任意结构的无故障网络。为了说明这一点,我们分析了共识,集协议,近似协议的网络,并推导出这些问题的下界在经典的计算环境下,如ESTA模型和动态网络。

英文摘要:

More than two decades ago, combinatorial topology was shown to be useful for analyzing distributed fault-tolerant algorithms in shared memory systems and in message passing systems. In this work, we show that combinatorial topology can also be useful for analyzing distributed algorithms in failure-free networks of arbitrary structure. To illustrate this, we analyze consensus, set-agreement, and approximate agreement in networks, and derive lower bounds for these problems under classical computational settings, such as the LOCAL model and dynamic networks.

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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