Abstract
Abstract With the help of a graph-theoretical approach, we have quantified two-dimensional galaxy distributions in observation and Cold Dark Matter (CDM) simulations. In our analysis, we adopted the Lyon–Meudon Extragalactic Database as a typical two-dimensional observation. To estimate adjacency matrices, we constructed constellation graphs from galaxy distributions, and calculated the distribution functions of the eigenvalues of these matrices. Using the mean absolute deviations, we compared the two-dimensional galaxy distributions in observations with CDM simulations in a statistical way. From our analysis we found that the CDM model with a density parameter of less than one is preferable to reproduce the galaxy distributions in the observations.
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