低连通世界中的全局计算：不依赖电导的快速谣言传播
Global Computation in a Poorly Connected World: Fast Rumor Spreading with No Dependence on Conductance
摘要：
在本文中，我们研究的问题，如何有效地收集互连节点可以执行一个全球性的计算，在广泛研究的GOSSIP模型的通信。在该模型中，节点不知道网络的全局拓扑，并且它们在每一轮中只能与单个邻居发起联系。该模型与限制性更小的TCP模型形成对比，在TCP模型中，节点可以在单轮中同时与其所有邻居通信。在这种情况下，一个基本的问题是信息传播问题需要多少轮通信，其中每个节点都有一些信息，并需要收集所有其他信息。本文给出了一个算法，它解决了直径为$D$的网络中最多$O(D+\text{polylog}{(n)})$轮的信息传播问题，且不依赖于电导.这最多是来自$D$平凡下界的加性多对数因子，其甚至适用于RISK模型。事实上，我们证明了更强的东西是真的：任何算法，需要$T$轮在ESTA模型可以模拟$O(T +\mathrm{polylog}(n))$轮在GOSSIP模型。因此，我们证明了这两种分布式计算模型本质上是等价的。
英文摘要：
In this paper, we study the question of how efficiently a collection of interconnected nodes can perform a global computation in the widely studied GOSSIP model of communication. In this model, nodes do not know the global topology of the network, and they may only initiate contact with a single neighbor in each round. This model contrasts with the much less restrictive LOCAL model, where a node may simultaneously communicate with all of its neighbors in a single round. A basic question in this setting is how many rounds of communication are required for the information dissemination problem, in which each node has some piece of information and is required to collect all others. In this paper, we give an algorithm that solves the information dissemination problem in at most $O(D+\text{polylog}{(n)})$ rounds in a network of diameter $D$, withno dependence on the conductance. This is at most an additive polylogarithmic factor from the trivial lower bound of $D$, which applies even in the LOCAL model. In fact, we prove that something stronger is true: any algorithm that requires $T$ rounds in the LOCAL model can be simulated in $O(T +\mathrm{polylog}(n))$ rounds in the GOSSIP model. We thus prove that these two models of distributed computation are essentially equivalent.
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。
