Optical and X-ray clusters as tracers of the supercluster-void network. III Distribution of Abell and APM clusters

We present a comparison of Abell and APM clusters of galaxies as tracers of the large scale structure of the Universe. We investigate selection functions of both cluster catalogs. We show that the supercluster-void network can be traced with both cluster samples; the network has a well-defined period of ~120 h^{-1} Mpc. We calculate the correlation function and the power spectrum for Abell and APM cluster samples. The APM cluster sample with measured redshifts covers a small volume which contains only a few very rich superclusters that surround one void and have exceptionally large mutual separations. Due to this property the maximum of the power spectrum of APM clusters with measured velocities is shifted to larger scales than the corresponding feature in the power spectrum of Abell clusters. We conclude that the APM sample is not representative for the large-scale structure as a whole due to the small space coverage. We present a catalog of superclusters of galaxies, based on APM clusters up to a redshift z_{lim}=0.13.