University Of Tennessee Med Ctr · Referral network
HSA 44043 · 2016 · 1081 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
-554,113
Median F
-269,449
Min F
-12,955,645
Max F
528
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
1,534
Edges
27,511
Avg clustering
0.583
Density
0.0234
Forman μ
-91
Forman σ
93.2
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
475,460
Avg degree
14.80
Max degree
164
Negative F edges
7,949
Positive F edges
51
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 1588653141
Degree 155 · weight 13,461
155
#2
NPI 1003017963
Degree 136 · weight 11,693
136
#3
NPI 1811954860
Degree 126 · weight 11,095
126
#4
NPI 1821087479
Degree 124 · weight 10,535
124
#5
NPI 1699763250
Degree 114 · weight 9,955
114
#6
NPI 1467564591
Degree 122 · weight 9,544
122
#7
NPI 1528094000
Degree 164 · weight 9,196
164
#8
NPI 1972593663
Degree 97 · weight 9,180
97
Most negative curvature
#1
Forman -12,955,645
1003017963 → 1588653141
Weight 574 · Forman -12,955,645
#2
Forman -12,482,043
1588653141 → 1811954860
Weight 605 · Forman -12,482,043
#3
Forman -11,974,231
1588653141 → 1821087479
Weight 588 · Forman -11,974,231
#4
Forman -10,262,259
1003017963 → 1811954860
Weight 566 · Forman -10,262,259
#5
Forman -9,700,750
1528094000 → 1992740070
Weight 1,073 · Forman -9,700,750
#6
Forman -9,337,971
1003017963 → 1821087479
Weight 500 · Forman -9,337,971
#7
Forman -8,796,623
1538321393 → 1588653141
Weight 439 · Forman -8,796,623
#8
Forman -8,764,877
1295762276 → 1528094000
Weight 505 · Forman -8,764,877
Strongest referral edges
#1
Weight 1,187
1205036746 → 1649371089
Weight 1,187 · Forman -1,381,076
#2
Weight 1,073
1528094000 → 1992740070
Weight 1,073 · Forman -9,700,750
#3
Weight 840
1295762276 → 1588752505
Weight 840 · Forman -3,417,229
#4
Weight 748
1497745814 → 1972593663
Weight 748 · Forman -3,865,467
#5
Weight 692
1154374262 → 1396769717
Weight 692 · Forman -3,579,251
#6
Weight 689
1215050117 → 1790157246
Weight 689 · Forman -53,284
#7
Weight 656
1457341018 → 1528094000
Weight 656 · Forman -7,776,506
#8
Weight 655
1306956586 → 1578996930
Weight 655 · Forman -287,380