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Table A.1

Two sample K-S test results for comparison between properties of groups and their central galaxies inside and outside of filaments in different luminosity density ranges.

Density rangesa Propertiesb Test statisticc Probability valuesd

(M/L)g 0.694 2.2e-16
Stellar mass 1.000 2.2e-16
Den8 < 1.5 SSFR 0.898 2.2e-16
gr color 0.654 2.2e-16
Elliptical fraction 0.996 2.2e-16
Spiral fraction 0.708 2.2e-16

(M/L)g 0.416 2.2e-16
Stellar mass 1.000 2.2e-16
1.5 < Den8 < 5 SSFR 0.750 2.2e-16
gr color 1.000 2.2e-16
Elliptical fraction 0.916 2.2e-16
Spiral fraction 0.942 2.2e-16

(M/L)g 0.880 2.2e-16
Stellar mass 0.852 2.2e-16
Den8 > 5 SSFR 0.772 2.2e-16
gr color 0.872 2.2e-16
Elliptical fraction 0.956 2.2e-16
Spiral fraction 0.686 2.2e-16

Notes.

(a)

8 h-1 Mpc smoothed luminosity density ranges in units of cosmic mean density.

(b)

Properties of groups and central galaxies. φ(log Mg) denotes the number density of groups in each group mass bin.

(c)

K-S test statistics for distribution of mean properties of groups or central galaxies inside and outside of filaments.

(d)

Probability that the distribution of mean properties of groups or central galaxies inside and outside of filaments are similar.

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