Stanford Health Care · Referral network
HSA 5237 · 2015 · 826 physicians · 4513 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
-4,165,986
Median F
-596,725
Min F
-140,718,174
Max F
244
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
1,058
Edges
12,429
Avg clustering
0.652
Density
0.0222
Forman μ
-153.5
Forman σ
185.9
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
255,247
Avg degree
10.93
Max degree
482
Negative F edges
4,487
Positive F edges
26
Nonzero F edges
4,513
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 482 · weight 37,791
482
#2
NPI 1528100500
Degree 318 · weight 27,092
318
#3
NPI 1780788919
Degree 255 · weight 21,057
255
#4
NPI 1255471330
Degree 212 · weight 17,801
212
#5
NPI 1629002381
Degree 192 · weight 13,443
192
#6
NPI 1336150234
Degree 191 · weight 13,272
191
#7
NPI 1487660767
Degree 172 · weight 9,550
172
#8
NPI 1326067448
Degree 146 · weight 8,750
146
Most negative curvature
#1
Forman -140,718,174
1528100500 → 1831385202
Weight 1,257 · Forman -140,718,174
#2
Forman -103,593,211
1255471330 → 1831385202
Weight 996 · Forman -103,593,211
#3
Forman -89,931,382
1629002381 → 1831385202
Weight 834 · Forman -89,931,382
#4
Forman -67,948,611
1326067448 → 1831385202
Weight 540 · Forman -67,948,611
#5
Forman -67,522,830
1487660767 → 1831385202
Weight 506 · Forman -67,522,830
#6
Forman -63,555,408
1245342708 → 1831385202
Weight 536 · Forman -63,555,408
#7
Forman -62,966,803
1457376980 → 1831385202
Weight 499 · Forman -62,966,803
#8
Forman -61,207,546
1104966373 → 1831385202
Weight 486 · Forman -61,207,546
Strongest referral edges
#1
Weight 1,257
1528100500 → 1831385202
Weight 1,257 · Forman -140,718,174
#2
Weight 1,017
1255471330 → 1528100500
Weight 1,017 · Forman -58,626,738
#3
Weight 996
1255471330 → 1831385202
Weight 996 · Forman -103,593,211
#4
Weight 834
1629002381 → 1831385202
Weight 834 · Forman -89,931,382
#5
Weight 736
1528100500 → 1629002381
Weight 736 · Forman -45,301,210
#6
Weight 657
1336150234 → 1780788919
Weight 657 · Forman -31,331,868
#7
Weight 595
1245342708 → 1528100500
Weight 595 · Forman -31,745,529
#8
Weight 585
1487660767 → 1528100500
Weight 585 · Forman -37,686,160