Is there structure on the scale of 300/h Mpc ?

An analysis of the statistical significance of the supercluster complexes reported by Tully in the Abell catalog is presented. Two types of simulated catalogs have been examined: one based on the assumption that clusters are randomly distributed, and the other based on the assumption that clusters are distributed with a two-point correlation function. After applying Galactic latitude and redshift selection effects to both samples, percolation analysis techniques helped to identify clusters in both the data and simulated catalogs. The supercluster complexes suggested by Tully are not statistically different from clumps generated in simulations with correlation lengths greater than roughly 15/h Mpc. The flattened southern Abell cluster distribution is reproduced in the clustered simulations about 20 to 30 percent of the time. The frequency of flattening is independent of the large-scale power cutoff when the cutoff is greater than 40/h Mpc. In high-density cosmological models, supercluster complexes generate excessive bulk flows; therefore, there is no definitive evidence for structure on the scale of 300/h Mpc. 37 refs