Mean separation between galaxies in the plane of the sky (thick lines) and in 3D space (thin lines) as functions of redshift. To find the sky projection distances, the nearest neighbour was sought within a volume defined by the fixed linking length ratios of the FoF algorithm (see text for details). Dashed lines correspond to the whole sample, dotted lines to the 2MRS galaxies alone. Solid blue line shows the transversal linking length as used in our group finding algorithm. In the nearby region, the transversal linking length is roughly 0.1 times the mean separation of galaxies of the given samples. We note that the galaxy sample reaches redshift z = 0.1; for illustrative reasons, the figure only presents the nearer part.
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