A scaling law in the distribution of galaxy clusters

We have analyzed the dependence of the spatial void probability function φ_0_ on the scaling variable q =nV<ξ> for different galaxy cluster samples. We used the tridimensional distance-limited sample defined by Postman et al. (1986), and Tully's catalog (1987). Within the distance for which they are reasonably complete (z<=0.08), these cluster samples appear to follow a general scaling invariance law, up to q~2, corresponding to void radii of ~50h^1^Mpc(h=H_0_/100). This scaling law is consistent, within the statistical uncertainties, with the law followed by galaxies in the Center for Astrophysics and Southern Sky Redshift Survey catalogs.