University Of Tennessee Med Ctr · Referral network
HSA 44043 · 2015 · 996 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
-696,143
Median F
-337,527
Min F
-16,971,610
Max F
630
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
1,415
Edges
25,288
Avg clustering
0.580
Density
0.0253
Forman μ
-85.2
Forman σ
88.7
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
505,331
Avg degree
16.06
Max degree
162
Negative F edges
7,955
Positive F edges
45
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 1972593663
Degree 130 · weight 13,238
130
#2
NPI 1588653141
Degree 138 · weight 12,721
138
#3
NPI 1083601629
Degree 136 · weight 12,232
136
#4
NPI 1821087479
Degree 128 · weight 11,730
128
#5
NPI 1619967239
Degree 110 · weight 11,210
110
#6
NPI 1003017963
Degree 120 · weight 11,135
120
#7
NPI 1891785051
Degree 111 · weight 10,562
111
#8
NPI 1538159017
Degree 109 · weight 10,520
109
Most negative curvature
#1
Forman -16,971,610
1295762276 → 1528094000
Weight 998 · Forman -16,971,610
#2
Forman -13,592,414
1083601629 → 1972593663
Weight 706 · Forman -13,592,414
#3
Forman -11,502,950
1588653141 → 1821087479
Weight 619 · Forman -11,502,950
#4
Forman -11,142,014
1528094000 → 1992740070
Weight 1,134 · Forman -11,142,014
#5
Forman -10,448,480
1003017963 → 1588653141
Weight 568 · Forman -10,448,480
#6
Forman -10,381,802
1619967239 → 1972593663
Weight 584 · Forman -10,381,802
#7
Forman -9,666,379
1538159017 → 1972593663
Weight 515 · Forman -9,666,379
#8
Forman -9,605,517
1083601629 → 1619967239
Weight 492 · Forman -9,605,517
Strongest referral edges
#1
Weight 1,134
1528094000 → 1992740070
Weight 1,134 · Forman -11,142,014
#2
Weight 998
1295762276 → 1528094000
Weight 998 · Forman -16,971,610
#3
Weight 812
1205036746 → 1649371089
Weight 812 · Forman -996,669
#4
Weight 764
1003884073 → 1821067273
Weight 764 · Forman -280,294
#5
Weight 752
1003884073 → 1336117944
Weight 752 · Forman -249,325
#6
Weight 715
1154374262 → 1396769717
Weight 715 · Forman -5,624,007
#7
Weight 706
1083601629 → 1972593663
Weight 706 · Forman -13,592,414
#8
Weight 697
1477678696 → 1821067273
Weight 697 · Forman -217,651