Random walks on randomly evolving graphs

Random walks on randomly evolving graphs
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随机演化图上的随机游走

DOI:
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发表时间:
2020
期刊:
Colloquium on Structural Information & Communication Complexity
影响因子:
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通讯作者:
Luca Zanetti
Luca Zanetti
中科院分区:
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文献类型:
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作者:
Leran Cai;Thomas Sauerwald;Luca Zanetti

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随机游走是图上的一个基本随机过程,也是分布式算法设计中的一个关键原语。随机游走最重要的特征之一是,在温和的条件下,它们在时间上收敛到一个平稳的分布,该分布在图的大小中至多为多项式。然而,只有当图形不随时间变化时,这一基本属性才成立;另一方面,许多分布式网络本质上是动态的,它们的拓扑结构可能会发生巨大的变化。
A random walk is a basic stochastic process on graphs and a key primitive in the design of distributed algorithms. One of the most important features of random walks is that, under mild conditions, they converge to a stationary distribution in time that is at most polynomial in the size of the graph. This fundamental property, however, only holds if the graph does not change over time; on the other hand, many distributed networks are inherently dynamic, and their topology is subjected to potentially drastic changes.
DOI: 10.4230/lipics.icalp.2019.93
发表时间: 2019-03
期刊: ArXiv
影响因子: --
作者:
Thomas Sauerwald;Luca Zanetti
通讯作者: Thomas Sauerwald;Luca Zanetti