University Of Tennessee Med Ctr · Referral network
HSA 44043 · 2017 · 1169 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
-470,434
Median F
-236,142
Min F
-9,284,713
Max F
516
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
1,632
Edges
28,829
Avg clustering
0.580
Density
0.0217
Forman μ
-87.1
Forman σ
93.5
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
446,384
Avg degree
13.69
Max degree
135
Negative F edges
7,950
Positive F edges
50
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 1538321393
Degree 135 · weight 11,202
135
#2
NPI 1811954860
Degree 131 · weight 10,512
131
#3
NPI 1003017963
Degree 131 · weight 10,460
131
#4
NPI 1285865667
Degree 97 · weight 9,892
97
#5
NPI 1699763250
Degree 126 · weight 9,816
126
#6
NPI 1821087479
Degree 130 · weight 9,802
130
#7
NPI 1467564591
Degree 116 · weight 9,297
116
#8
NPI 1588653141
Degree 123 · weight 9,152
123
Most negative curvature
#1
Forman -9,284,713
1538321393 → 1811954860
Weight 515 · Forman -9,284,713
#2
Forman -9,003,552
1003017963 → 1538321393
Weight 481 · Forman -9,003,552
#3
Forman -8,697,959
1538321393 → 1821087479
Weight 477 · Forman -8,697,959
#4
Forman -8,468,052
1003017963 → 1811954860
Weight 461 · Forman -8,468,052
#5
Forman -8,207,167
1538321393 → 1588653141
Weight 471 · Forman -8,207,167
#6
Forman -8,141,869
1811954860 → 1821087479
Weight 454 · Forman -8,141,869
#7
Forman -7,688,299
1003017963 → 1821087479
Weight 402 · Forman -7,688,299
#8
Forman -7,394,448
1003017963 → 1588653141
Weight 414 · Forman -7,394,448
Strongest referral edges
#1
Weight 836
1205036746 → 1649371089
Weight 836 · Forman -794,234
#2
Weight 803
1598724791 → 1710963277
Weight 803 · Forman -91,063
#3
Weight 793
1386199701 → 1396780516
Weight 793 · Forman -22,530
#4
Weight 711
1497745814 → 1972593663
Weight 711 · Forman -3,369,659
#5
Weight 707
1215050117 → 1790157246
Weight 707 · Forman -79,342
#6
Weight 618
1295762276 → 1588752505
Weight 618 · Forman -1,739,567
#7
Weight 602
1528094000 → 1992740070
Weight 602 · Forman -1,369,054
#8
Weight 602
1366498099 → 1487695383
Weight 602 · Forman -178,512