From the approximately volume-limited Luminous Red Galaxy (LRG) sample of the Sloan Digital Sky Survey Data Release 6 (SDSS DR6), we construct three LRG samples with different g-r color, which have the nearly same number density, to investigate the color dependence of clustering properties of LRGs. It is found that the blue galaxies have a more filamentary distribution than red galaxies, and that the bluest LRGs preferentially inhabit the dense groups and clusters. But in three LRG samples with different u-g color, we do not observe the tendency for clustering properties of LRGs to significantly change with color. We preferentially conclude that the clustering properties of LRGs are not strongly correlated with colors.

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