Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997pasj...49..131u&link_type=abstract
Publications of the Astronomical Society of Japan, v.49, p.131-149.
Astronomy and Astrophysics
Astronomy
8
Cosmology, Galaxies: Clustering, Gravity, Methods: Numerical, Statistical
Scientific paper
We propose a graph-theoretical approach for quantifying the galaxy distributions in the universe. In order to examine the validity of this approach, we construct graphs based on our cosmological N-body simulations with scale-free power-law spectra, and apply graph theory to them. First we construct a constellation graph from our simulations, which is one of the most basic graphs. We then calculate the distribution function of the edge-length, order, degree, and the eigenvalue of the adjacency matrix of the constellation graph. From our analysis we find that the eigenvalue of the adjacency matrix is a good statistical measure for quantifying the galaxy distributions in a clear manner. For supplementary purposes we also construct a separated minimal spanning tree and a group graph, and examine the usefulness of the graph-theoretical approach.
Itoh Makoto
Ueda Haruhiko
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