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Table 3.
Glossary of parameters used by GSyF and GFiF algorithms.
| Param. | Description | MSCC 310 |
|---|---|---|
| Properties of the rectangular box | ||
| N | Total number of galaxies | 12 286 |
| V | Total volume | (116  Mpc)3 |
 |
Mean volumetric number density | 0.008  Mpc−3 |
| A | Projected area in the sky | (12.65 deg)2 |
 |
Mean surface number density (sky projection) | 76.9 deg−2 |
| vi, ai | Local volume or projected area of VT cell | Each galaxy |
| di | Local VT (surface or volume) density | Each galaxy |
| DC | Comoving distance of the galaxy or system | Each galaxy or system |
| DE | Euclidean distance between two galaxies or two nodes (edge size) | Each pair |
| Dske | Euclidean distance of galaxy from filament skeleton | Each galaxy |
| Amount of systems | ||
| NCl | Richness of the supercluster (nr. of Abell/ACO clusters) | 21 |
 |
No. of extracted HC groups | 1140, 768 |
| NHC | No. of detected HC groups (Nj ≥ 3) found by GSyF algorithm | 1015 |
| Nnodes | No. of nodes found by GFiF algorithm which remained in the MSTrees | 359 |
| NFoG | No. of systems (that survived the FoG filter) | 255 |
| Nsys | No. of systems with Nmem > Nmin in box which matched nodes | 116 |
| Nsfil | No. of systems embedded in the filaments | 61 |
| Nspair | No. of systems forming pairs connected by isolated bridges | 26 |
| Nsout | No. of systems not forming filaments or pairs | 29 |
| Amount of filaments, isolated bridges and tendrils | ||
| Nfil | No. of filament candidates of the supercluster | 4 |
| Nske | No. of detected filaments in the box (linked bridges) | 9 |
| Nbrid | No. of detected isolated bridges between two systems only | 17 |
| Ntend | No. of detected tendrils (not bridges or filaments) | 18 |
| Properties of the systems | ||
| Pj(x) | Gaussian model for detected HC group | Each HC group |
| Nj | Richness the detected HC group | Each HC group |
| Cj | Centroid position of the detected HC group | Each HC group |
| σj | Compactness (covariance) of the detected HC group | Each HC group |
| CBMG | Position of Brightest HC group Member Galaxy | Each HC group |
| CFoG | Centroid position of the detected FoG system | Each system |
| Nmem | Richness (nr. of galaxies) of the detected FoG system | Each system |
| Nmin | Minimum nr. of galaxies for systems in filaments at different z | 10 |
| Rh | Harmonic radius of the detected FoG system | Each system |
| Rvir | Virial radius of the detected FoG system | Each system |
| Mvir | Virial mass of the detected FoG system | Each system |
| vLOS | Robust line-of-sight velocity of the detected FoG system | Each system |
| σv | Robust velocity dispersion of the detected FoG system | Each system |
| Properties of the filaments | ||
| Nedges | No. of edges that survived filter 1 | 334 |
| Nlinks | No. of edges that survived filters 1 and 2 | 316 |
| Ntrees | No. of trees after MST | 17 |
| Nnod | No. of nodes in the filament (or in the skeleton) | Each filament (skeleton) |
| ℓfil | Length of filament skeleton | Each filament |
| Rfil | Mean radius of the filament | Each filament |
| dfil | Mean galaxy number density inside the filament | Each filament |
| Ngfil | No. of galaxies hosted in the filaments of the box | 2568 |
| Vfil | Volume occupied by the filaments of the box | (1.16  Mpc)3 |
| GSyF and GFiF parameters | ||
| dbas | Projected number density baseline | 15.7 deg−2 |
| δi | Local density contrast | Each galaxy |
| Ngal | No. of galaxies above the baseline dbas | 6842 |
| Ra, Sa, Ma | Parameters of iterative process for FoG correction | Each HC group |
| f | Segmentation parameter (OPTIMIZATION) | 6, 16 |
| BC | Bhattacharyya coefficient (edge weight) | Each edge |
| Dmax | Linking length (first filter) (OPTIMIZATION) | 8  Mpc |
| dedge | Edge cylinder density (second filter) | Each edge |
| Rcy | Filament concentric cylinder radius | Each filament |
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