(a) Fraction of volume occupied by below the cluster signal (﹩{V}_{\lt {S}_{c}}﹩) as a function of the cluster signal (S_c) for the z-slice at z = 0.630. We see a monotonically increasing function that can be described by a two power-law behavior. The cluster signal that corresponds to the intersection of the two power-law functions (shown as the black dashed line) is selected as the best cluster signal cut. (b) Best cluster signal cut as a function of redshift. It varies from slice to slice and is affected by the cosmic variance. We fit a linear function to the best signal cut at different redshifts and use the fitted line, shown with a red dashed line, for selection of cluster galaxies. (c) Number of individual filaments (N_f) as a function of filament signal cut (S_f) for the z-slice at z = 0.630. We use the S_f corresponding to the peak of N_f as the best filament signal cut (Section 3.4.2). (d) Best filament signal cut as a function of redshift. We fit a linear function to the best signal cut at different redshifts and use the fitted line, shown with a red dashed line, for selection of filament galaxies.