University Of Chicago Med Ctr · Referral network
HSA 14023 · 2016 · 2357 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
-1,612,074
Median F
-187,628
Min F
-83,431,481
Max F
458
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
5,166
Edges
82,378
Avg clustering
0.585
Density
0.0062
Forman μ
-133.9
Forman σ
181.3
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
504,795
Avg degree
6.79
Max degree
337
Negative F edges
7,918
Positive F edges
82
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 1689699373
Degree 337 · weight 33,853
337
#2
NPI 1366557175
Degree 310 · weight 27,679
310
#3
NPI 1306862552
Degree 257 · weight 22,750
257
#4
NPI 1497784813
Degree 194 · weight 16,058
194
#5
NPI 1881687036
Degree 117 · weight 14,626
117
#6
NPI 1902961006
Degree 120 · weight 13,752
120
#7
NPI 1962419119
Degree 73 · weight 10,010
73
#8
NPI 1336197573
Degree 83 · weight 9,524
83
Most negative curvature
#1
Forman -83,431,481
1366557175 → 1689699373
Weight 780 · Forman -83,431,481
#2
Forman -62,337,927
1144283078 → 1689699373
Weight 1,258 · Forman -62,337,927
#3
Forman -61,038,668
1497784813 → 1689699373
Weight 776 · Forman -61,038,668
#4
Forman -58,414,665
1497789846 → 1689699373
Weight 1,129 · Forman -58,414,665
#5
Forman -56,990,904
1184614711 → 1689699373
Weight 1,073 · Forman -56,990,904
#6
Forman -55,801,117
1114958121 → 1689699373
Weight 1,047 · Forman -55,801,117
#7
Forman -52,767,249
1073558276 → 1689699373
Weight 936 · Forman -52,767,249
#8
Forman -48,289,771
1497770762 → 1689699373
Weight 798 · Forman -48,289,771
Strongest referral edges
#1
Weight 1,258
1144283078 → 1689699373
Weight 1,258 · Forman -62,337,927
#2
Weight 1,129
1497789846 → 1689699373
Weight 1,129 · Forman -58,414,665
#3
Weight 1,073
1184614711 → 1689699373
Weight 1,073 · Forman -56,990,904
#4
Weight 1,047
1114958121 → 1689699373
Weight 1,047 · Forman -55,801,117
#5
Weight 972
1144283078 → 1366557175
Weight 972 · Forman -43,183,428
#6
Weight 936
1073558276 → 1689699373
Weight 936 · Forman -52,767,249
#7
Weight 892
1336197573 → 1801821582
Weight 892 · Forman -3,231,274
#8
Weight 870
1184614711 → 1366557175
Weight 870 · Forman -40,333,866