U Of Ky Albert B. Chandler Hosp · Referral network
HSA 18045 · 2015 · 1100 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
-1,873,902
Median F
-485,300
Min F
-79,842,249
Max F
671.9
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
1,435
Edges
28,606
Avg clustering
0.640
Density
0.0278
Forman μ
-124.1
Forman σ
156.7
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
486,854
Avg degree
14.55
Max degree
345
Negative F edges
7,970
Positive F edges
30
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 345 · weight 28,147
345
#2
NPI 1487652103
Degree 259 · weight 25,313
259
#3
NPI 1083655708
Degree 216 · weight 23,380
216
#4
NPI 1154474435
Degree 247 · weight 22,859
247
#5
NPI 1922019280
Degree 213 · weight 18,311
213
#6
NPI 1518979111
Degree 188 · weight 17,128
188
#7
NPI 1679591903
Degree 167 · weight 12,495
167
#8
NPI 1124047717
Degree 130 · weight 12,046
130
Most negative curvature
#1
Forman -79,842,249
1326057241 → 1922019280
Weight 1,536 · Forman -79,842,249
#2
Forman -54,598,250
1326057241 → 1891717732
Weight 1,099 · Forman -54,598,250
#3
Forman -49,201,592
1154474435 → 1487652103
Weight 837 · Forman -49,201,592
#4
Forman -39,486,719
1326057241 → 1770773665
Weight 661 · Forman -39,486,719
#5
Forman -36,897,658
1326057241 → 1922012509
Weight 604 · Forman -36,897,658
#6
Forman -32,248,580
1487652103 → 1518979111
Weight 546 · Forman -32,248,580
#7
Forman -30,446,306
1265504518 → 1326057241
Weight 426 · Forman -30,446,306
#8
Forman -29,944,829
1326057241 → 1386807998
Weight 383 · Forman -29,944,829
Strongest referral edges
#1
Weight 2,420
1194727701 → 1629184593
Weight 2,420 · Forman -1,356,669
#2
Weight 1,536
1326057241 → 1922019280
Weight 1,536 · Forman -79,842,249
#3
Weight 1,212
1124047717 → 1679501308
Weight 1,212 · Forman -8,781,932
#4
Weight 1,099
1326057241 → 1891717732
Weight 1,099 · Forman -54,598,250
#5
Weight 1,068
1518979111 → 1639181654
Weight 1,068 · Forman -18,188,440
#6
Weight 922
1144257163 → 1518979111
Weight 922 · Forman -17,232,880
#7
Weight 837
1154474435 → 1487652103
Weight 837 · Forman -49,201,592
#8
Weight 786
1750389847 → 1780712695
Weight 786 · Forman -4,295,445