  We investigate the implications of different forms of multi-group
connectivity. Four multi-group 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.
