Stanford Health Care · Referral network
HSA 5237 · 2014 · 773 physicians · 3799 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
-3,042,984
Median F
-398,379
Min F
-98,275,463
Max F
228
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
998
Edges
10,603
Avg clustering
0.650
Density
0.0213
Forman μ
-131.4
Forman σ
172.7
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
206,668
Avg degree
9.83
Max degree
428
Negative F edges
3,772
Positive F edges
27
Nonzero F edges
3,799
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 1831385202
Degree 428 · weight 32,336
428
#2
NPI 1528100500
Degree 284 · weight 21,107
284
#3
NPI 1780788919
Degree 227 · weight 20,088
227
#4
NPI 1245342708
Degree 129 · weight 9,733
129
#5
NPI 1336150234
Degree 141 · weight 9,334
141
#6
NPI 1033376017
Degree 135 · weight 8,335
135
#7
NPI 1326067448
Degree 158 · weight 7,871
158
#8
NPI 1982615837
Degree 101 · weight 6,987
101
Most negative curvature
#1
Forman -98,275,463
1528100500 → 1831385202
Weight 1,105 · Forman -98,275,463
#2
Forman -60,619,511
1245342708 → 1831385202
Weight 733 · Forman -60,619,511
#3
Forman -51,595,036
1033376017 → 1831385202
Weight 543 · Forman -51,595,036
#4
Forman -48,209,996
1326067448 → 1831385202
Weight 456 · Forman -48,209,996
#5
Forman -42,927,459
1457376980 → 1831385202
Weight 423 · Forman -42,927,459
#6
Forman -41,931,415
1629002381 → 1831385202
Weight 410 · Forman -41,931,415
#7
Forman -41,834,813
1205051018 → 1831385202
Weight 405 · Forman -41,834,813
#8
Forman -41,252,708
1295787299 → 1831385202
Weight 378 · Forman -41,252,708
Strongest referral edges
#1
Weight 1,105
1528100500 → 1831385202
Weight 1,105 · Forman -98,275,463
#2
Weight 925
1245342708 → 1528100500
Weight 925 · Forman -34,376,402
#3
Weight 838
1780788919 → 1861411282
Weight 838 · Forman -20,788,730
#4
Weight 733
1245342708 → 1831385202
Weight 733 · Forman -60,619,511
#5
Weight 565
1033376017 → 1528100500
Weight 565 · Forman -26,273,753
#6
Weight 559
1336150234 → 1780788919
Weight 559 · Forman -21,108,641
#7
Weight 543
1033376017 → 1831385202
Weight 543 · Forman -51,595,036
#8
Weight 526
1457376980 → 1528100500
Weight 526 · Forman -22,446,877