Table 3 The comparison of algorithms and applications on Multiple Graphs
From: Persistence homology of networks: methods and applications
Paper | Filtration | Topological Summary | Data |
|---|---|---|---|
1 dim PD | Brain Networks | ||
1 dim zigzag PD | Brain Networks | ||
Vietoris-Rips filtration (VR) section | 0 dim Betti plots | Brain networks | |
Vietoris-Rips filtration (VR) section | 0-1 dim PD | Brain networks | |
Vietoris-Rips filtration (VR) section | 1 dim PD | Brain networks | |
Weighted simplex filtration (WS) section | 0 dim persistence vineyards | Brain Networks | |
Weighted simplex filtration (WS) section | 0-2 dim PD | Collaboration networks | |
Vietoris-Rips filtration (VR) section | 0-2 dim Betti numbers | Collaboration networks | |
1 dim Betti numbers | Collaboration networks | ||
Vietoris-Rips filtration (VR) section | 0-3 dim Betti numbers | PPI, brain and simulated weighted networks | |
Vietoris-Rips filtration (VR) section | 0-2 dim PD | Economy networks | |
Vietoris-Rips filtration (VR) section | 0-1 dim PD | Finance networks | |
0-11 dim PD | Random, email and scale-free networks | ||
0 dim PD | Road networks | ||
0 dim zigzag PD | Dynamic biological networks | ||
Digraph filtration using persistent path homology (PPH) section | 1 dim PD | Cycle networks | |
Power filtration (POW) section | 0-1 dim PD | Dynamic communication networks | |
0-1 dim PD | Attributed social networks | ||
Power filtration (POW) section | 0-1 dim PD | Online social networks | |
0-1 dim PD | Social, medical and biological networks | ||
Vietoris-Rips filtration (VR) section | 1 dim PB | Social, infrastructural and biological networks |