University Of Louisville Hosp · Referral network

HSA 18049 · 2016 · 1240 physicians · 8000 edges

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Data source · SQLite (fallback)
CMS ≥11 patient pairs
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

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Curvature distribution

Mean F
-2,837,347
Median F
-1,177,715
Min F
-51,554,059
Max F
240

From referral_network_features

Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).

Nodes
2,483
Edges
73,941
Avg clustering
0.633
Density
0.0240
Forman μ
-224.8
Forman σ
255

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
543,807
Avg degree
12.90
Max degree
350
Negative F edges
7,983
Positive F edges
17
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 1285745612
Degree 175 · weight 29,144
175
#2
NPI 1063400885
Degree 350 · weight 28,785
350
#3
NPI 1538171517
Degree 220 · weight 25,248
220
#4
NPI 1891746483
Degree 223 · weight 22,999
223
#5
NPI 1770534034
Degree 219 · weight 22,851
219
#6
NPI 1902846157
Degree 205 · weight 22,525
205
#7
NPI 1720070196
Degree 329 · weight 21,318
329
#8
NPI 1255384020
Degree 222 · weight 20,755
222

Most negative curvature

#1
Forman -51,554,059
1538171517 → 1770534034
Weight 1,198 · Forman -51,554,059
#2
Forman -48,684,995
1538171517 → 1891746483
Weight 1,048 · Forman -48,684,995
#3
Forman -47,512,075
1063400885 → 1508854266
Weight 976 · Forman -47,512,075
#4
Forman -47,040,070
1063400885 → 1669471165
Weight 906 · Forman -47,040,070
#5
Forman -45,560,337
1063400885 → 1780672402
Weight 729 · Forman -45,560,337
#6
Forman -44,623,346
1063400885 → 1912995721
Weight 719 · Forman -44,623,346
#7
Forman -42,940,309
1538171517 → 1902846157
Weight 931 · Forman -42,940,309
#8
Forman -41,467,859
1063400885 → 1356385413
Weight 647 · Forman -41,467,859

Strongest referral edges

#1
Weight 2,374
1285745612 → 1477517241
Weight 2,374 · Forman -33,472,229
#2
Weight 1,785
1003871518 → 1285745612
Weight 1,785 · Forman -26,143,439
#3
Weight 1,265
1679742290 → 1861495046
Weight 1,265 · Forman -2,831,099
#4
Weight 1,198
1538171517 → 1770534034
Weight 1,198 · Forman -51,554,059
#5
Weight 1,112
1770534034 → 1992758197
Weight 1,112 · Forman -26,087,398
#6
Weight 1,048
1538171517 → 1891746483
Weight 1,048 · Forman -48,684,995
#7
Weight 976
1063400885 → 1508854266
Weight 976 · Forman -47,512,075
#8
Weight 973
1225180896 → 1588642425
Weight 973 · Forman -18,717,116