Vanderbilt University Hospital · Referral network
HSA 44063 · 2017 · 1731 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
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Curvature distribution
Mean F
-944,796
Median F
-232,660
Min F
-25,688,970
Max F
336
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
2,874
Edges
47,479
Avg clustering
0.602
Density
0.0115
Forman μ
-115.1
Forman σ
159.7
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
466,255
Avg degree
9.24
Max degree
253
Negative F edges
7,944
Positive F edges
56
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 1467491670
Degree 250 · weight 19,772
250
#2
NPI 1649362062
Degree 253 · weight 17,139
253
#3
NPI 1477640589
Degree 235 · weight 16,315
235
#4
NPI 1427079946
Degree 97 · weight 15,155
97
#5
NPI 1154311413
Degree 190 · weight 13,021
190
#6
NPI 1306822234
Degree 130 · weight 11,940
130
#7
NPI 1598833808
Degree 144 · weight 11,206
144
#8
NPI 1568465623
Degree 157 · weight 10,136
157
Most negative curvature
#1
Forman -25,688,970
1477640589 → 1649362062
Weight 381 · Forman -25,688,970
#2
Forman -25,515,993
1467491670 → 1649362062
Weight 298 · Forman -25,515,993
#3
Forman -25,239,515
1467491670 → 1477640589
Weight 326 · Forman -25,239,515
#4
Forman -22,556,072
1467491670 → 1598833808
Weight 475 · Forman -22,556,072
#5
Forman -20,872,831
1154311413 → 1649362062
Weight 362 · Forman -20,872,831
#6
Forman -19,919,487
1467491670 → 1679665095
Weight 604 · Forman -19,919,487
#7
Forman -19,366,404
1154311413 → 1467491670
Weight 270 · Forman -19,366,404
#8
Forman -18,881,947
1154311413 → 1477640589
Weight 345 · Forman -18,881,947
Strongest referral edges
#1
Weight 1,679
1306822234 → 1851507073
Weight 1,679 · Forman -14,063,252
#2
Weight 1,259
1568493062 → 1669563920
Weight 1,259 · Forman -116,457
#3
Weight 1,022
1043218654 → 1114956687
Weight 1,022 · Forman -587,784
#4
Weight 919
1114956687 → 1306131891
Weight 919 · Forman -253,930
#5
Weight 840
1144309121 → 1487854311
Weight 840 · Forman -1,157,039
#6
Weight 831
1053337717 → 1427079946
Weight 831 · Forman -5,386,458
#7
Weight 791
1558315168 → 1790723013
Weight 791 · Forman -1,343,801
#8
Weight 791
1427079946 → 1972658060
Weight 791 · Forman -5,257,294