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Table 2 The comparison of algorithms and applications on Single Graph

From: Persistence homology of networks: methods and applications

Paper Filtration Topological summary Data
Benzekry et al. (2015) Power filtration (POW) section 0-1 dim Betti numbers PPI networks
Sizemore et al. (2018) Vietoris-Rips filtration (VR) section 1-2 dim PD Brain networks
Chung et al. (2013) Vietoris-Rips filtration (VR) section 0 dim PD Brain networks
Giusti et al. (2016) Weighted simplex filtration (WS) section 0-2 dim PD Brain Networks
Khalid et al. (2014) Vietoris-Rips filtration (VR) section 0-dim PD Brain Networks
Ignacio and Darcy (2019) Vietoris-Rips filtration (VR) section 0-2 dim PD Migration and remittance networks
Rucco et al. (2016) Vietoris-Rips filtration (VR) section 1 dim PB Simulated idiotypic networks
Salnikov et al. (2018) Temporal filtration (TMP) section 1-2 dim PD Co-occurrence networks
Suh et al. (2017) Power filtration (POW) section 0 dim PB Co-occurrence networks
Rieck et al. (2018) Vertex-based clique filtration (VBCL) section, k-clique filtration (kCL) section 0 dim PD Co-occurrence, brain and collaboration network