Tufts Medical Center · Referral network
HSA 22006 · 2014 · 2192 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
-564,944
Median F
-165,311
Min F
-16,245,729
Max F
662
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
4,953
Edges
66,051
Avg clustering
0.590
Density
0.0054
Forman μ
-125.4
Forman σ
164.4
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
419,188
Avg degree
7.30
Max degree
214
Negative F edges
7,909
Positive F edges
91
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 1861452898
Degree 214 · weight 16,028
214
#2
NPI 1184661878
Degree 192 · weight 13,198
192
#3
NPI 1659339588
Degree 196 · weight 12,755
196
#4
NPI 1073541256
Degree 94 · weight 10,006
94
#5
NPI 1912997321
Degree 176 · weight 9,343
176
#6
NPI 1235166679
Degree 144 · weight 9,124
144
#7
NPI 1154311413
Degree 181 · weight 9,093
181
#8
NPI 1336123801
Degree 95 · weight 7,682
95
Most negative curvature
#1
Forman -16,245,729
1184661878 → 1659339588
Weight 405 · Forman -16,245,729
#2
Forman -11,761,602
1073508693 → 1861452898
Weight 540 · Forman -11,761,602
#3
Forman -11,560,434
1154312346 → 1861452898
Weight 521 · Forman -11,560,434
#4
Forman -11,142,907
1316917404 → 1861452898
Weight 475 · Forman -11,142,907
#5
Forman -9,868,612
1184661878 → 1568531606
Weight 382 · Forman -9,868,612
#6
Forman -9,866,644
1184661878 → 1427080944
Weight 497 · Forman -9,866,644
#7
Forman -9,860,977
1457333080 → 1861452898
Weight 358 · Forman -9,860,977
#8
Forman -9,166,021
1427080944 → 1659339588
Weight 460 · Forman -9,166,021
Strongest referral edges
#1
Weight 1,024
1205114675 → 1922057017
Weight 1,024 · Forman -65,409
#2
Weight 842
1073541256 → 1336123801
Weight 842 · Forman -6,962,304
#3
Weight 771
1235164336 → 1871528968
Weight 771 · Forman -1,800,808
#4
Weight 606
1336123801 → 1598713737
Weight 606 · Forman -4,458,308
#5
Weight 572
1033189287 → 1871528968
Weight 572 · Forman -1,541,168
#6
Weight 558
1235164336 → 1730175639
Weight 558 · Forman -1,516,569
#7
Weight 552
1386852648 → 1417167479
Weight 552 · Forman -69,435
#8
Weight 540
1073508693 → 1861452898
Weight 540 · Forman -11,761,602