Tufts Medical Center · Referral network

HSA 22006 · 2017 · 2579 physicians · 8000 edges

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Data source · SQLite (fallback)
CMS ≥11 patient pairs
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
-11,407,359
Median F
-454,747
Min F
-599,574,061
Max F
274

From referral_network_features

Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).

Nodes
5,612
Edges
83,226
Avg clustering
0.608
Density
0.0053
Forman μ
-189.8
Forman σ
257.7

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
489,983
Avg degree
6.20
Max degree
711
Negative F edges
7,899
Positive F edges
101
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 1912997321
Degree 711 · weight 68,028
711
#2
NPI 1639188840
Degree 698 · weight 65,583
698
#3
NPI 1861452898
Degree 356 · weight 29,355
356
#4
NPI 1659339588
Degree 247 · weight 15,574
247
#5
NPI 1184661878
Degree 223 · weight 15,021
223
#6
NPI 1083605646
Degree 206 · weight 13,834
206
#7
NPI 1427080944
Degree 211 · weight 13,713
211
#8
NPI 1154418291
Degree 159 · weight 10,868
159

Most negative curvature

#1
Forman -599,574,061
16391888401912997321
Weight 1,910 · Forman -599,574,061
#2
Forman -274,513,603
13160512121912997321
Weight 1,539 · Forman -274,513,603
#3
Forman -271,102,635
13160512121639188840
Weight 1,550 · Forman -271,102,635
#4
Forman -254,641,147
12159992551912997321
Weight 1,337 · Forman -254,641,147
#5
Forman -251,577,174
19129973211922079342
Weight 1,300 · Forman -251,577,174
#6
Forman -246,793,105
16391888401922079342
Weight 1,292 · Forman -246,793,105
#7
Forman -241,479,027
11543120561912997321
Weight 1,203 · Forman -241,479,027
#8
Forman -236,223,899
11543120561639188840
Weight 1,189 · Forman -236,223,899

Strongest referral edges

#1
Weight 1,910
16391888401912997321
Weight 1,910 · Forman -599,574,061
#2
Weight 1,550
13160512121639188840
Weight 1,550 · Forman -271,102,635
#3
Weight 1,539
13160512121912997321
Weight 1,539 · Forman -274,513,603
#4
Weight 1,337
12159992551912997321
Weight 1,337 · Forman -254,641,147
#5
Weight 1,300
19129973211922079342
Weight 1,300 · Forman -251,577,174
#6
Weight 1,292
16391888401922079342
Weight 1,292 · Forman -246,793,105
#7
Weight 1,252
12250026031780871970
Weight 1,252 · Forman -75,790
#8
Weight 1,203
11543120561912997321
Weight 1,203 · Forman -241,479,027