U Of Ky Albert B. Chandler Hosp · Referral network
HSA 18045 · 2017 · 1217 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
-1,702,005
Median F
-547,455
Min F
-46,236,751
Max F
443.9
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
1,688
Edges
33,326
Avg clustering
0.646
Density
0.0234
Forman μ
-140.1
Forman σ
183.7
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
502,882
Avg degree
13.15
Max degree
300
Negative F edges
7,949
Positive F edges
51
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 1083655708
Degree 300 · weight 31,667
300
#2
NPI 1154474435
Degree 239 · weight 23,183
239
#3
NPI 1487652103
Degree 247 · weight 23,152
247
#4
NPI 1922019280
Degree 216 · weight 19,178
216
#5
NPI 1518979111
Degree 191 · weight 18,262
191
#6
NPI 1891717732
Degree 199 · weight 15,417
199
#7
NPI 1679591903
Degree 169 · weight 14,718
169
#8
NPI 1558585299
Degree 78 · weight 12,005
78
Most negative curvature
#1
Forman -46,236,751
1083655708 → 1558585299
Weight 1,067 · Forman -46,236,751
#2
Forman -44,892,799
1154474435 → 1487652103
Weight 838 · Forman -44,892,799
#3
Forman -35,697,685
1083655708 → 1972532687
Weight 699 · Forman -35,697,685
#4
Forman -32,825,406
1083655708 → 1447337860
Weight 567 · Forman -32,825,406
#5
Forman -32,631,271
1083655708 → 1114956802
Weight 597 · Forman -32,631,271
#6
Forman -31,520,003
1083655708 → 1457380156
Weight 562 · Forman -31,520,003
#7
Forman -30,252,785
1083655708 → 1841202777
Weight 437 · Forman -30,252,785
#8
Forman -29,773,366
1083655708 → 1366471088
Weight 505 · Forman -29,773,366
Strongest referral edges
#1
Weight 2,584
1194727701 → 1629184593
Weight 2,584 · Forman -1,178,092
#2
Weight 1,855
1023316890 → 1629184593
Weight 1,855 · Forman -870,748
#3
Weight 1,067
1083655708 → 1558585299
Weight 1,067 · Forman -46,236,751
#4
Weight 1,021
1144257163 → 1518979111
Weight 1,021 · Forman -18,771,060
#5
Weight 1,011
1518979111 → 1639181654
Weight 1,011 · Forman -17,895,105
#6
Weight 838
1154474435 → 1487652103
Weight 838 · Forman -44,892,799
#7
Weight 835
1386807998 → 1922019280
Weight 835 · Forman -21,189,518
#8
Weight 751
1518979111 → 1922394899
Weight 751 · Forman -15,129,923