Issue |
A&A
Volume 399, Number 1, February III 2003
|
|
---|---|---|
Page(s) | 1 - 7 | |
Section | Cosmology (including clusters of galaxies) | |
DOI | https://doi.org/10.1051/0004-6361:20021607 | |
Published online | 05 February 2003 |
A graph-theoretical approach for comparison of observational galaxy distributions with cosmological N-body simulations
1
Faculty of Education and Human Studies, Akita University, 1-1 Tegata-gakuen, Akita-shi, Akita 010-8502, Japan
2
National Astronomical Observatory of Japan, 2-21-1 Osawa, Mitaka-shi Tokyo 181-8588, Japan e-mail: takeuchi@optik.mtk.nao.ac.jp
3
Faculty of Economics and Information, Gifu Shotoku Gakuen University, 1-38 Nakauzura, Gifu-shi, Gifu, 500-8288, Japan e-mail: mitoh@gifu.shotoku.ac.jp
Corresponding author: H. Ueda, ueda@ipc.akita-u.ac.jp
Received:
8
January
2002
Accepted:
4
November
2002
Using a graph-theoretical approach, we compared the galaxy
distributions in a flux-limited galaxy sample extracted from
the Lyon-Meudon Extragalactic Database (“the LEDA subsample”)
with those in cosmological N-body simulations.
To derive information on the density parameter of our Universe,
we used CDM simulations with
(,
, 0.9), (0.5, 0.5), (1.0, 0.0),
and prepared artificial samples.
Constellation graphs were constructed from the galaxy distributions in
the LEDA subsample and those in these artificial samples, and graph theory
was applied.
For statistical comparison, the mean absolute deviations of
the distribution functions of the eigenvalues of the adjacency matrices
were calculated. From our analysis we found that a low-density parameter
is preferable, although the LEDA subsample we used in this study is
not deep enough to provide a definite estimate of the cosmological
parameter set of the Universe.
Key words: cosmology: large-scale structure of Universe / methods: numerical, statistic
© ESO, 2003
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