University Of Chicago Med Ctr · Referral network
HSA 14023 · 2017 · 2404 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
-1,009,909
Median F
-144,141
Min F
-35,601,580
Max F
560
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
5,449
Edges
82,842
Avg clustering
0.590
Density
0.0056
Forman μ
-147.8
Forman σ
198
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
488,178
Avg degree
6.66
Max degree
293
Negative F edges
7,895
Positive F edges
105
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 1366557175
Degree 293 · weight 24,577
293
#2
NPI 1629097480
Degree 251 · weight 20,252
251
#3
NPI 1891797379
Degree 119 · weight 16,014
119
#4
NPI 1003883778
Degree 241 · weight 15,832
241
#5
NPI 1942356357
Degree 129 · weight 14,372
129
#6
NPI 1770522062
Degree 161 · weight 13,320
161
#7
NPI 1437109857
Degree 117 · weight 12,809
117
#8
NPI 1326090051
Degree 91 · weight 11,041
91
Most negative curvature
#1
Forman -35,601,580
1144283078 → 1366557175
Weight 845 · Forman -35,601,580
#2
Forman -34,894,464
1184614711 → 1366557175
Weight 843 · Forman -34,894,464
#3
Forman -32,719,995
1366557175 → 1497789846
Weight 762 · Forman -32,719,995
#4
Forman -30,642,493
1366557175 → 1689699373
Weight 683 · Forman -30,642,493
#5
Forman -29,378,786
1073558276 → 1366557175
Weight 633 · Forman -29,378,786
#6
Forman -28,411,166
1366557175 → 1508944778
Weight 599 · Forman -28,411,166
#7
Forman -27,600,603
1114958121 → 1366557175
Weight 565 · Forman -27,600,603
#8
Forman -27,525,268
1003883778 → 1366557175
Weight 244 · Forman -27,525,268
Strongest referral edges
#1
Weight 1,023
1558378059 → 1942356357
Weight 1,023 · Forman -8,020,187
#2
Weight 861
1437109857 → 1649427931
Weight 861 · Forman -5,973,734
#3
Weight 852
1104082445 → 1629097480
Weight 852 · Forman -23,355,836
#4
Weight 846
1902961006 → 1942356357
Weight 846 · Forman -7,353,830
#5
Weight 845
1144283078 → 1366557175
Weight 845 · Forman -35,601,580
#6
Weight 843
1184614711 → 1366557175
Weight 843 · Forman -34,894,464
#7
Weight 828
1417181116 → 1437109857
Weight 828 · Forman -5,879,864
#8
Weight 776
1174539084 → 1982679346
Weight 776 · Forman -1,198,266