Figure 7
From: Tracing patterns and shapes in remittance and migration networks via persistent homology
Barcodes for the toy example. Colored persistence barcodes for the toy network in Fig. 6 superimposed with several slices in the filtration. For this example, the original edge weights are used as labels (instead of the transformed values) for threshold levels. The colored 0-dimensional barcode (bottom) reflects which connected component each vertex eventually belongs to. The colored 1 and 2-dimensional barcodes (middle and top respectively) distinguish the 1-cyles and 2-cycles by three criteria: persistence, perpetuity, and weights variation