β-Skeleton analysis of the cosmic web

@article{Fang2018SkeletonAO,
  title={$\beta$-Skeleton analysis of the cosmic web},
  author={Feng Fang and Jaime E. Forero-Romero and Graziano Rossi and Xiao-Dong Li and Longlong Feng},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2018}
}
The $\beta$-skeleton is a mathematical method to construct graphs from a set of points that has been widely applied in the areas of image analysis, machine learning, visual perception, and pattern recognition. In this work, we apply the $\beta$-skeleton to study the cosmic web. We use this tool on observed and simulated data to identify the filamentary structures and characterize the statistical properties of the skeleton. In particular, we compare the $\beta$-skeletons built from SDSS-III… 
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