Spectrum Hlth - Butterworth Hosp · Referral network

HSA 23039 · 2016 · 1339 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
-1,210,064
Median F
-371,261
Min F
-27,673,398
Max F
424

From referral_network_features

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

Nodes
2,056
Edges
38,830
Avg clustering
0.626
Density
0.0184
Forman μ
-160.1
Forman σ
180.1

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
364,780
Avg degree
11.95
Max degree
276
Negative F edges
7,907
Positive F edges
93
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 1043410145
Degree 275 · weight 16,826
275
#2
NPI 1407935323
Degree 276 · weight 14,763
276
#3
NPI 1447264999
Degree 274 · weight 14,620
274
#4
NPI 1326023383
Degree 257 · weight 14,324
257
#5
NPI 1053534735
Degree 250 · weight 13,251
250
#6
NPI 1558488874
Degree 208 · weight 10,745
208
#7
NPI 1053392985
Degree 176 · weight 9,639
176
#8
NPI 1831106749
Degree 141 · weight 8,714
141

Most negative curvature

#1
Forman -27,673,398
1407935323 → 1447264999
Weight 404 · Forman -27,673,398
#2
Forman -25,481,064
1043410145 → 1326023383
Weight 368 · Forman -25,481,064
#3
Forman -20,505,367
1053534735 → 1447264999
Weight 275 · Forman -20,505,367
#4
Forman -20,419,229
1053534735 → 1407935323
Weight 265 · Forman -20,419,229
#5
Forman -18,988,754
1043410145 → 1558488874
Weight 286 · Forman -18,988,754
#6
Forman -17,817,372
1043410145 → 1053534735
Weight 188 · Forman -17,817,372
#7
Forman -17,381,088
1043410145 → 1407935323
Weight 146 · Forman -17,381,088
#8
Forman -17,208,458
1043410145 → 1053392985
Weight 277 · Forman -17,208,458

Strongest referral edges

#1
Weight 586
1740595735 → 1922020478
Weight 586 · Forman -131,314
#2
Weight 525
1134103732 → 1255312302
Weight 525 · Forman -3,242,508
#3
Weight 470
1134103732 → 1245221621
Weight 470 · Forman -1,892,570
#4
Weight 457
1033442231 → 1790764694
Weight 457 · Forman -3,024
#5
Weight 444
1811990252 → 1932108354
Weight 444 · Forman -6,507,212
#6
Weight 444
1558316562 → 1932140217
Weight 444 · Forman -26,650
#7
Weight 433
1447471636 → 1952301038
Weight 433 · Forman -2,572,533
#8
Weight 429
1245221621 → 1255312302
Weight 429 · Forman -2,146,935