论文标题
如何传播谣言:打电话给您的邻居或散步?
How to Spread a Rumor: Call Your Neighbors or Take a Walk?
论文作者
论文摘要
我们研究网络中随机信息传播的问题。我们将现在标准的推拉协议与基于代理的替代方案进行了比较,其中信息通过执行独立随机步行的代理集合传播。在“访问交换协议”中,节点和代理都存储信息,并且每次代理访问节点时,两个交易所交换了所有信息。在“会议交换协议”中,只有代理存储信息,并与遇到的每个代理商交换信息。 我们考虑上述三个协议中的单个信息的广播时间,假设是从固定分布开始的线性数量的代理。我们观察到,基于代理的协议的速度明显快于推扣的图形,而相反的图形为真。我们将基于代理的算法的良好性能归因于其固有的公平带宽利用率,并得出结论,在某些设置中,基于代理的信息传播,分别或与推杆结合使用,可以显着改善广播时间。 上面考虑的图是高度不规则的。我们的主要技术结果是,在任何常规的图表上,至少对数学位,推拉和访问交换的时间相同。证明使用了一个新颖的耦合参数,该参数将推动力中的顶点选择与访问交换中的随机步行相关联。此外,我们表明,会议交换的广播时间至少在所有常规图上与其他两个人一样大,并且在某些常规图上严格较大。 据我们所知,这是对这些非常自然信息传播协议的运行时间的第一个系统和详尽的比较。
We study the problem of randomized information dissemination in networks. We compare the now standard PUSH-PULL protocol, with agent-based alternatives where information is disseminated by a collection of agents performing independent random walks. In the VISIT-EXCHANGE protocol, both nodes and agents store information, and each time an agent visits a node, the two exchange all the information they have. In the MEET-EXCHANGE protocol, only the agents store information, and exchange their information with each agent they meet. We consider the broadcast time of a single piece of information in an $n$-node graph for the above three protocols, assuming a linear number of agents that start from the stationary distribution. We observe that there are graphs on which the agent-based protocols are significantly faster than PUSH-PULL, and graphs where the converse is true. We attribute the good performance of agent-based algorithms to their inherently fair bandwidth utilization, and conclude that, in certain settings, agent-based information dissemination, separately or in combination with PUSH-PULL, can significantly improve the broadcast time. The graphs considered above are highly non-regular. Our main technical result is that on any regular graph of at least logarithmic degree, PUSH-PULL and VISIT-EXCHANGE have the same asymptotic broadcast time. The proof uses a novel coupling argument which relates the random choices of vertices in PUSH-PULL with the random walks in VISIT-EXCHANGE. Further, we show that the broadcast time of MEET-EXCHANGE is asymptotically at least as large as the other two's on all regular graphs, and strictly larger on some regular graphs. As far as we know, this is the first systematic and thorough comparison of the running times of these very natural information dissemination protocols.