University Of Chicago Med Ctr · Referral network
HSA 14023 · 2015 · 2371 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
-678,245
Median F
-133,603
Min F
-31,713,360
Max F
387.4
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
4,988
Edges
76,292
Avg clustering
0.592
Density
0.0061
Forman μ
-104.6
Forman σ
142
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
477,082
Avg degree
6.75
Max degree
266
Negative F edges
7,898
Positive F edges
102
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 1689699373
Degree 266 · weight 22,473
266
#2
NPI 1366557175
Degree 215 · weight 16,203
215
#3
NPI 1881687036
Degree 124 · weight 15,283
124
#4
NPI 1902961006
Degree 122 · weight 11,307
122
#5
NPI 1740350578
Degree 93 · weight 11,148
93
#6
NPI 1497784813
Degree 127 · weight 9,832
127
#7
NPI 1639154370
Degree 129 · weight 8,331
129
#8
NPI 1306862552
Degree 116 · weight 8,028
116
Most negative curvature
#1
Forman -31,713,360
1366557175 → 1689699373
Weight 464 · Forman -31,713,360
#2
Forman -29,427,299
1144283078 → 1689699373
Weight 877 · Forman -29,427,299
#3
Forman -28,203,979
1497789846 → 1689699373
Weight 841 · Forman -28,203,979
#4
Forman -24,062,661
1497784813 → 1689699373
Weight 460 · Forman -24,062,661
#5
Forman -23,635,294
1073558276 → 1689699373
Weight 621 · Forman -23,635,294
#6
Forman -23,365,758
1114958121 → 1689699373
Weight 607 · Forman -23,365,758
#7
Forman -22,344,003
1497770762 → 1689699373
Weight 567 · Forman -22,344,003
#8
Forman -21,233,164
1508944778 → 1689699373
Weight 512 · Forman -21,233,164
Strongest referral edges
#1
Weight 1,002
1093149734 → 1538157045
Weight 1,002 · Forman -619,432
#2
Weight 877
1144283078 → 1689699373
Weight 877 · Forman -29,427,299
#3
Weight 846
1154654952 → 1225048127
Weight 846 · Forman -147,785
#4
Weight 841
1497789846 → 1689699373
Weight 841 · Forman -28,203,979
#5
Weight 804
1447243605 → 1881687036
Weight 804 · Forman -7,072,018
#6
Weight 748
1225048127 → 1700180536
Weight 748 · Forman -104,389
#7
Weight 691
1144283078 → 1366557175
Weight 691 · Forman -16,488,769
#8
Weight 673
1740350578 → 1992875090
Weight 673 · Forman -3,538,269