United Medical Center · Referral network
HSA 9001 · 2015 · 1350 physicians · 8000 edges
Running from SQLite — no Neo4j required. Regional and HSA dashboards, this force graph, curvature histogram, and hub rankings all work out of the box. Advanced users can optionally load the graph into a self-hosted Neo4j instance (docker compose up -d, then npm run etl-to-neo4j) for the Cypher playground and Neo4j Browser.
Force-directed graph · edges coloured by Forman–Ricci curvature
Loading graph engine…
Curvature distribution
Mean F
-361,652
Median F
-109,529
Min F
-9,515,358
Max F
221.3
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
1,852
Edges
26,597
Avg clustering
0.561
Density
0.0155
Forman μ
-61.8
Forman σ
73.4
Rendered graph structure
Live computation on up to 8,000 edges (SQLite row order, node-strength weights). Values will differ from precomputed stats above for large HSAs.
Total weight
383,624
Avg degree
11.85
Max degree
185
Negative F edges
7,928
Positive F edges
72
Nonzero F edges
8,000
Reading the graph
Teal edges have positive Forman curvature — efficient information flow.
Red edges have negative curvature — bottlenecks in the referral graph.
Edge width: log(patient count). Node size: degree-weighted strength.
Hub physicians
#1
NPI 1184760662
Degree 149 · weight 12,131
149
#2
NPI 1598719981
Degree 178 · weight 11,713
178
#3
NPI 1598739724
Degree 162 · weight 9,299
162
#4
NPI 1073770293
Degree 185 · weight 8,331
185
#5
NPI 1447236633
Degree 101 · weight 8,153
101
#6
NPI 1841309168
Degree 100 · weight 7,549
100
#7
NPI 1033100581
Degree 99 · weight 6,833
99
#8
NPI 1417994716
Degree 123 · weight 6,573
123
Most negative curvature
#1
Forman -9,515,358
1073770293 → 1598719981
Weight 252 · Forman -9,515,358
#2
Forman -8,825,171
1073770293 → 1184760662
Weight 286 · Forman -8,825,171
#3
Forman -8,058,538
1417994716 → 1598719981
Weight 301 · Forman -8,058,538
#4
Forman -7,958,365
1598719981 → 1598739724
Weight 194 · Forman -7,958,365
#5
Forman -7,954,115
1255381778 → 1598719981
Weight 554 · Forman -7,954,115
#6
Forman -7,452,859
1184760662 → 1992781637
Weight 424 · Forman -7,452,859
#7
Forman -7,057,777
1184760662 → 1811985104
Weight 404 · Forman -7,057,777
#8
Forman -6,891,652
1598719981 → 1699721019
Weight 245 · Forman -6,891,652
Strongest referral edges
#1
Weight 931
1962478578 → 1972578748
Weight 931 · Forman -1,040,424
#2
Weight 786
1417104662 → 1649267519
Weight 786 · Forman -190,043
#3
Weight 679
1033230453 → 1386763373
Weight 679 · Forman -250,184
#4
Weight 577
1457550444 → 1497861025
Weight 577 · Forman -81,070
#5
Weight 564
1205945268 → 1841309168
Weight 564 · Forman -3,570,778
#6
Weight 555
1619083052 → 1932259702
Weight 555 · Forman -282,070
#7
Weight 554
1255381778 → 1598719981
Weight 554 · Forman -7,954,115
#8
Weight 533
1295068542 → 1649267519
Weight 533 · Forman -154,861