Detecting filamentary pattern in the cosmic web: a catalogue of
  filaments for the SDSS
  The main feature of the spatial large-scale galaxy distribution is its
intricate network of galaxy filaments. This network is spanned by the galaxy
locations that can be interpreted as a three-dimensional point distribution.
The global properties of the point process can be measured by different
statistical methods, which, however, do not describe directly the structure
elements. The morphology of the large scale structure, on the other hand, is an
important property of the galaxy distribution. Here we apply an object point
process with interactions (the Bisous model) to trace and extract the
filamentary network in the presently largest galaxy redshift survey, the Sloan
Digital Sky Survey (SDSS). We search for filaments in the galaxy distribution
that have a radius of about 0.5 Mpc/h. We divide the detected network into
single filaments and present a public catalogue of filaments. We study the
filament length distribution and show that the longest filaments reach the
length of 60 Mpc/h. The filaments contain 35-40% of the total galaxy luminosity
and they cover roughly 5-8% of the total volume, in good agreement with N-body
simulations and previous observational results.
