We investigate the implications of different forms of multigroup connectivity. Four multigroup connectivity modalities are considered: co-memberships, edge bundles, bridges, and liaison hierarchies. We propose generative models to generate these four modalities. Our models are variants of planted partition or stochastic block models conditioned under certain topological constraints. We report findings of a comparative analysis in which we evaluate these structures, controlling for their edge densities and sizes, on mean rates of information propagation, convergence times to consensus, and steady-state deviations from the consensus value in the presence of noise as network size increases.

中文翻译：

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多组连接结构及其含义

我们研究了不同形式的多组连接的含义。考虑了四种多组连接模式：共同成员、边缘束、桥梁和联络层次结构。我们提出生成模型来生成这四种模式。我们的模型是在某些拓扑约束条件下的种植分区或随机块模型的变体。我们报告了一项比较分析的结果，其中我们评估了这些结构，控制它们的边缘密度和大小，信息传播的平均速率，达成共识的收敛时间，以及在作为网络存在噪声的情况下与共识值的稳态偏差尺寸增加。