U Of Ky Albert B. Chandler Hosp · Referral network
HSA 18045 · 2014 · 1055 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
-2,024,797
Median F
-511,821
Min F
-99,339,746
Max F
659.3
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
1,365
Edges
29,254
Avg clustering
0.639
Density
0.0314
Forman μ
-118
Forman σ
139.6
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
496,126
Avg degree
15.17
Max degree
382
Negative F edges
7,962
Positive F edges
38
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 1326057241
Degree 382 · weight 37,013
382
#2
NPI 1083655708
Degree 212 · weight 24,375
212
#3
NPI 1487652103
Degree 230 · weight 20,484
230
#4
NPI 1699702308
Degree 227 · weight 19,679
227
#5
NPI 1518979111
Degree 194 · weight 18,632
194
#6
NPI 1922019280
Degree 169 · weight 17,521
169
#7
NPI 1619921988
Degree 141 · weight 12,193
141
#8
NPI 1508878349
Degree 145 · weight 11,962
145
Most negative curvature
#1
Forman -99,339,746
1326057241 → 1922019280
Weight 1,738 · Forman -99,339,746
#2
Forman -73,059,182
1326057241 → 1891717732
Weight 1,145 · Forman -73,059,182
#3
Forman -56,403,866
1326057241 → 1922012509
Weight 767 · Forman -56,403,866
#4
Forman -51,716,204
1326057241 → 1770773665
Weight 641 · Forman -51,716,204
#5
Forman -49,429,616
1326057241 → 1447289616
Weight 548 · Forman -49,429,616
#6
Forman -46,690,328
1326057241 → 1992715502
Weight 504 · Forman -46,690,328
#7
Forman -43,395,582
1114020088 → 1326057241
Weight 478 · Forman -43,395,582
#8
Forman -43,384,478
1326057241 → 1851321244
Weight 446 · Forman -43,384,478
Strongest referral edges
#1
Weight 2,149
1194727701 → 1629184593
Weight 2,149 · Forman -593,327
#2
Weight 1,738
1326057241 → 1922019280
Weight 1,738 · Forman -99,339,746
#3
Weight 1,145
1326057241 → 1891717732
Weight 1,145 · Forman -73,059,182
#4
Weight 1,006
1053364869 → 1518979111
Weight 1,006 · Forman -18,757,538
#5
Weight 957
1124047717 → 1679501308
Weight 957 · Forman -6,622,222
#6
Weight 928
1376767962 → 1518979111
Weight 928 · Forman -19,038,153
#7
Weight 906
1073580171 → 1124047717
Weight 906 · Forman -6,050,359
#8
Weight 897
1124047717 → 1134226434
Weight 897 · Forman -5,998,580