Projected number density profiles of faint galaxies around the 1st ranked (black) and 2nd ranked galaxies (grey), split into three volume-limited samples (columns from left to right). Solid lines correspond to the profiles in CGs (CGS), while dotted lines are around the control group sample (S1). Error bars are the standard deviations computed with 100 bootstraps. Bottom panels: the ratios of the profiles around CGs and S1s. Errors are computed by error propagation.