A comparison of cosmological filaments catalogues
  In this work we compare three catalogues of cosmological filaments identified
in the Sloan Digital Sky Survey by means of different algorithms by Tempel et
al., Pereyra et al., and Mart\'inez et al. We analyse how different
identification techniques determine differences in the filament statistical
properties: length, elongation, redshift distribution, and abundance. We find
that the statistical properties of the filaments strongly depend on the
identification algorithm. We use a volume limited sample of galaxies to
characterise other properties of filaments such as: galaxy overdensity,
luminosity function of galaxies, mean galaxy luminosity, filament luminosity,
and the overdensity profile of galaxies around filaments. In general, we find
that these properties primarily depended on filament length. Shorter filaments
have larger overdensities, are more populated by red galaxies, and have better
defined galaxy overdensity profiles, than longer filaments. Concluding that
galaxies belonging to filaments have characteristic signatures depending on the
identification algorithm used.
