University Of Chicago Med Ctr · Referral network
HSA 14023 · 2014 · 2337 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
-836,120
Median F
-153,768
Min F
-47,441,584
Max F
414
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
4,954
Edges
83,120
Avg clustering
0.612
Density
0.0068
Forman μ
-116.8
Forman σ
155.6
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
493,312
Avg degree
6.85
Max degree
285
Negative F edges
7,932
Positive F edges
68
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 1366557175
Degree 285 · weight 24,717
285
#2
NPI 1689699373
Degree 207 · weight 22,397
207
#3
NPI 1881687036
Degree 129 · weight 16,985
129
#4
NPI 1902961006
Degree 140 · weight 12,254
140
#5
NPI 1982709879
Degree 115 · weight 11,275
115
#6
NPI 1497784813
Degree 129 · weight 11,157
129
#7
NPI 1639154370
Degree 147 · weight 10,515
147
#8
NPI 1942356357
Degree 110 · weight 10,141
110
Most negative curvature
#1
Forman -47,441,584
1366557175 → 1689699373
Weight 736 · Forman -47,441,584
#2
Forman -33,650,109
1144283078 → 1366557175
Weight 885 · Forman -33,650,109
#3
Forman -32,436,786
1366557175 → 1497789846
Weight 833 · Forman -32,436,786
#4
Forman -30,233,396
1073558276 → 1366557175
Weight 731 · Forman -30,233,396
#5
Forman -27,930,107
1114958121 → 1366557175
Weight 637 · Forman -27,930,107
#6
Forman -27,107,743
1184614711 → 1366557175
Weight 605 · Forman -27,107,743
#7
Forman -25,831,260
1366557175 → 1508944778
Weight 550 · Forman -25,831,260
#8
Forman -25,350,637
1366557175 → 1497770762
Weight 533 · Forman -25,350,637
Strongest referral edges
#1
Weight 1,167
1063592095 → 1225062912
Weight 1,167 · Forman -4,092,059
#2
Weight 1,109
1497789846 → 1689699373
Weight 1,109 · Forman -23,918,125
#3
Weight 1,059
1144283078 → 1689699373
Weight 1,059 · Forman -23,606,000
#4
Weight 1,032
1093149734 → 1538157045
Weight 1,032 · Forman -672,870
#5
Weight 962
1447243605 → 1881687036
Weight 962 · Forman -8,490,485
#6
Weight 889
1063592095 → 1316971005
Weight 889 · Forman -4,237,734
#7
Weight 885
1144283078 → 1366557175
Weight 885 · Forman -33,650,109
#8
Weight 877
1114958121 → 1689699373
Weight 877 · Forman -20,761,404