University Of Tennessee Med Ctr · Referral network
HSA 44043 · 2014 · 961 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
-782,492
Median F
-385,654
Min F
-13,736,367
Max F
548
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
1,333
Edges
26,262
Avg clustering
0.595
Density
0.0296
Forman μ
-87.3
Forman σ
86.8
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
526,452
Avg degree
16.65
Max degree
167
Negative F edges
7,960
Positive F edges
40
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 1083601629
Degree 136 · weight 13,888
136
#2
NPI 1619967239
Degree 117 · weight 12,701
117
#3
NPI 1538159017
Degree 113 · weight 12,580
113
#4
NPI 1144210733
Degree 118 · weight 11,851
118
#5
NPI 1053301622
Degree 117 · weight 11,739
117
#6
NPI 1528094000
Degree 167 · weight 11,728
167
#7
NPI 1043209844
Degree 124 · weight 11,724
124
#8
NPI 1972593663
Degree 103 · weight 11,610
103
Most negative curvature
#1
Forman -13,736,367
1528094000 → 1992740070
Weight 1,303 · Forman -13,736,367
#2
Forman -11,949,675
1083601629 → 1972593663
Weight 728 · Forman -11,949,675
#3
Forman -11,335,548
1083601629 → 1538159017
Weight 577 · Forman -11,335,548
#4
Forman -11,235,040
1295762276 → 1528094000
Weight 624 · Forman -11,235,040
#5
Forman -10,791,138
1083601629 → 1619967239
Weight 502 · Forman -10,791,138
#6
Forman -10,391,925
1053301622 → 1083601629
Weight 487 · Forman -10,391,925
#7
Forman -10,215,005
1114997830 → 1528094000
Weight 731 · Forman -10,215,005
#8
Forman -10,052,514
1083601629 → 1144210733
Weight 448 · Forman -10,052,514
Strongest referral edges
#1
Weight 1,303
1528094000 → 1992740070
Weight 1,303 · Forman -13,736,367
#2
Weight 814
1003884073 → 1821067273
Weight 814 · Forman -1,064,279
#3
Weight 812
1649371089 → 1912940537
Weight 812 · Forman -935,902
#4
Weight 796
1336117944 → 1821067273
Weight 796 · Forman -800,412
#5
Weight 737
1154374262 → 1396769717
Weight 737 · Forman -5,132,780
#6
Weight 731
1114997830 → 1528094000
Weight 731 · Forman -10,215,005
#7
Weight 728
1083601629 → 1972593663
Weight 728 · Forman -11,949,675
#8
Weight 717
1356363477 → 1356458319
Weight 717 · Forman -517,351