Tulsa Spine And Specialty Hosp · Referral network

HSA 37088 · 2016 · 1133 physicians · 8000 edges

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Data source · SQLite (fallback)
CMS ≥11 patient pairs
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

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Curvature distribution

Mean F
-3,940,215
Median F
-666,583
Min F
-149,590,542
Max F
668

From referral_network_features

Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).

Nodes
1,859
Edges
48,282
Avg clustering
0.645
Density
0.0280
Forman μ
-169.9
Forman σ
195.7

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
524,724
Avg degree
14.12
Max degree
429
Negative F edges
7,965
Positive F edges
35
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 1336102284
Degree 429 · weight 64,996
429
#2
NPI 1700847118
Degree 372 · weight 26,451
372
#3
NPI 1619947124
Degree 201 · weight 23,024
201
#4
NPI 1609846112
Degree 196 · weight 21,811
196
#5
NPI 1407827579
Degree 285 · weight 19,232
285
#6
NPI 1437122058
Degree 146 · weight 17,983
146
#7
NPI 1154391993
Degree 171 · weight 17,349
171
#8
NPI 1942396338
Degree 258 · weight 17,129
258

Most negative curvature

#1
Forman -149,590,542
1336102284 → 1346469582
Weight 1,506 · Forman -149,590,542
#2
Forman -142,817,291
1336102284 → 1437122058
Weight 1,244 · Forman -142,817,291
#3
Forman -133,360,058
1336102284 → 1740336486
Weight 1,205 · Forman -133,360,058
#4
Forman -129,547,676
1336102284 → 1619947124
Weight 878 · Forman -129,547,676
#5
Forman -124,228,644
1336102284 → 1609846112
Weight 836 · Forman -124,228,644
#6
Forman -123,284,654
1336102284 → 1760415590
Weight 1,057 · Forman -123,284,654
#7
Forman -115,834,668
1154391993 → 1336102284
Weight 795 · Forman -115,834,668
#8
Forman -110,520,328
1336102284 → 1710957535
Weight 862 · Forman -110,520,328

Strongest referral edges

#1
Weight 1,506
1336102284 → 1346469582
Weight 1,506 · Forman -149,590,542
#2
Weight 1,244
1336102284 → 1437122058
Weight 1,244 · Forman -142,817,291
#3
Weight 1,219
1578510657 → 1700847118
Weight 1,219 · Forman -65,878,435
#4
Weight 1,205
1336102284 → 1740336486
Weight 1,205 · Forman -133,360,058
#5
Weight 1,057
1336102284 → 1760415590
Weight 1,057 · Forman -123,284,654
#6
Weight 952
1871706713 → 1962427112
Weight 952 · Forman -4,745,083
#7
Weight 935
1104853142 → 1700847118
Weight 935 · Forman -48,291,244
#8
Weight 890
1346469582 → 1619947124
Weight 890 · Forman -23,896,571