Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-order 3D Voronoi tessellation for identifying Isolated galaxies,
  Pairs and Triplets   Geometric method based on the high-order 3D Voronoi tessellation is proposed
for identifying the single galaxies, pairs and triplets. This approach allows
to select small galaxy groups and isolated galaxies in different environment
and find the isolated systems. The volume-limited sample of galaxies from the
SDSS DR5 spectroscopic survey was used. We conclude that in such small groups
as pairs and triplets the segregation by luminosity is clearly observed:
galaxies in the isolated pairs and triplets are on average two times more
luminous than isolated galaxies. We consider the dark matter content in
different systems. The median values of mass-to-luminosity ratio are 12
M_sol/L_sol for the isolated pairs and 44 M_sol/L_sol for the isolated
triplets; 7 (8) M_sol/L_sol for the most compact pairs (triplets). We found
also that systems in the denser environment have greater rms velocity and
mass-to-luminosity ratio.

21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph