Spectrum Hlth - Butterworth Hosp · Referral network
HSA 23039 · 2017 · 1466 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
-1,654,004
Median F
-393,418
Min F
-46,344,472
Max F
274
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
2,107
Edges
38,458
Avg clustering
0.638
Density
0.0173
Forman μ
-155.2
Forman σ
180.9
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
368,781
Avg degree
10.91
Max degree
454
Negative F edges
7,909
Positive F edges
91
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 1952418915
Degree 454 · weight 24,056
454
#2
NPI 1053392985
Degree 294 · weight 15,371
294
#3
NPI 1407935323
Degree 266 · weight 13,454
266
#4
NPI 1487645875
Degree 242 · weight 12,660
242
#5
NPI 1326023383
Degree 260 · weight 12,350
260
#6
NPI 1053534735
Degree 191 · weight 9,181
191
#7
NPI 1316146236
Degree 133 · weight 8,607
133
#8
NPI 1255312302
Degree 95 · weight 8,565
95
Most negative curvature
#1
Forman -46,344,472
1053392985 → 1952418915
Weight 318 · Forman -46,344,472
#2
Forman -42,947,504
1487645875 → 1952418915
Weight 334 · Forman -42,947,504
#3
Forman -36,541,088
1770782716 → 1952418915
Weight 384 · Forman -36,541,088
#4
Forman -31,535,065
1407935323 → 1952418915
Weight 170 · Forman -31,535,065
#5
Forman -30,164,676
1942281852 → 1952418915
Weight 245 · Forman -30,164,676
#6
Forman -29,741,811
1710968284 → 1952418915
Weight 233 · Forman -29,741,811
#7
Forman -29,529,244
1326087057 → 1952418915
Weight 264 · Forman -29,529,244
#8
Forman -29,132,549
1033269816 → 1952418915
Weight 222 · Forman -29,132,549
Strongest referral edges
#1
Weight 637
1255312302 → 1881827095
Weight 637 · Forman -6,165,170
#2
Weight 567
1245221621 → 1255312302
Weight 567 · Forman -3,091,643
#3
Weight 550
1881827095 → 1952301038
Weight 550 · Forman -3,674,439
#4
Weight 545
1255312302 → 1952301038
Weight 545 · Forman -3,422,332
#5
Weight 520
1558316562 → 1932140217
Weight 520 · Forman -47,030
#6
Weight 493
1154302172 → 1720410400
Weight 493 · Forman -39,412
#7
Weight 476
1447471636 → 1952301038
Weight 476 · Forman -1,934,819
#8
Weight 475
1245221621 → 1881827095
Weight 475 · Forman -3,047,326