Volume of Feasible Wealth Distributions |W_G|
Payment Channel Network Analysis | Pickhardt, arXiv:2601.04835
216
|W_G| (path, n=4, cap=5)
0.265
r(G) Feasibility Ratio
0.997
Formula R-squared
4
Topologies Analyzed
|W_G| vs Channel Capacity by Topology
Nodes:
n=4
Feasibility Ratio r(G) by Topology
Scaling with Network Size
Topology Comparison (n=4, cap=4)
Topology
|E|
Beta
|W_G|
|W(C,n)|
r(G)
Path
3
0
125
455
0.2747
Cycle
4
1
369
969
0.3808
Star
3
0
125
455
0.2747
Complete
6
3
1289
2925
0.4407
Formula Fit: Predicted vs Exact |W_G|