University Of Michigan Hospitals · Referral network
HSA 23007 · 2016 · 1495 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
-4,191,963
Median F
-654,995
Min F
-257,650,445
Max F
433.6
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
2,344
Edges
42,400
Avg clustering
0.669
Density
0.0154
Forman μ
-235.1
Forman σ
321.3
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
517,374
Avg degree
10.70
Max degree
518
Negative F edges
7,959
Positive F edges
41
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 1508942517
Degree 518 · weight 45,815
518
#2
NPI 1659457612
Degree 329 · weight 39,895
329
#3
NPI 1881663367
Degree 309 · weight 29,799
309
#4
NPI 1649387945
Degree 232 · weight 26,053
232
#5
NPI 1356318398
Degree 260 · weight 22,110
260
#6
NPI 1003883539
Degree 144 · weight 16,491
144
#7
NPI 1730108861
Degree 216 · weight 16,451
216
#8
NPI 1881794618
Degree 254 · weight 16,369
254
Most negative curvature
#1
Forman -257,650,445
1508942517 → 1659457612
Weight 2,315 · Forman -257,650,445
#2
Forman -151,489,799
1508942517 → 1730108861
Weight 1,273 · Forman -151,489,799
#3
Forman -143,972,189
1508942517 → 1932396702
Weight 1,421 · Forman -143,972,189
#4
Forman -123,902,698
1508942517 → 1760648109
Weight 1,049 · Forman -123,902,698
#5
Forman -110,948,242
1508942517 → 1750466793
Weight 826 · Forman -110,948,242
#6
Forman -110,641,047
1508942517 → 1962588988
Weight 826 · Forman -110,641,047
#7
Forman -109,837,769
1508942517 → 1821174954
Weight 839 · Forman -109,837,769
#8
Forman -106,493,358
1508942517 → 1891871851
Weight 826 · Forman -106,493,358
Strongest referral edges
#1
Weight 2,315
1508942517 → 1659457612
Weight 2,315 · Forman -257,650,445
#2
Weight 2,164
1013984566 → 1649387945
Weight 2,164 · Forman -45,135,724
#3
Weight 1,969
1295892230 → 1649387945
Weight 1,969 · Forman -42,270,896
#4
Weight 1,659
1033186564 → 1649387945
Weight 1,659 · Forman -38,959,945
#5
Weight 1,630
1215904743 → 1649387945
Weight 1,630 · Forman -38,364,785
#6
Weight 1,421
1508942517 → 1932396702
Weight 1,421 · Forman -143,972,189
#7
Weight 1,416
1598732539 → 1639146681
Weight 1,416 · Forman -1,895,820
#8
Weight 1,400
1639146681 → 1952378432
Weight 1,400 · Forman -1,878,554