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Table 2 Probabilities and standard errors for edges in the cores and peripheries of stars and of a random edge to be in Hk

From: Co-occurrence simplicial complexes in mathematics: identifying the holes of knowledge

  H 1 H 2 H 3
S2 (cores) 0.794 (0.005) 0.806 (0.004) 0.785 (0.003)
S2 (peripheries) 0.571 (0.006) 0.51 (0.005) 0.547 (0.003)
S3 (cores) 0.743 (0.005) 0.905 (0.003) 0.91 (0.002)
S3 (peripheries) 0.0 (0.0) 0.0 (0.0) 0.0 (0.0)
Random Edge 0.240 (0.002) 0.300 (0.002) 0.641 (0.003)