University Hospitals Case Med Ctr · Referral network
HSA 36025 · 2017 · 2209 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
-4,266,131
Median F
-263,295
Min F
-192,054,129
Max F
336
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
3,642
Edges
49,332
Avg clustering
0.606
Density
0.0074
Forman μ
-155.6
Forman σ
202.1
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
461,995
Avg degree
7.24
Max degree
496
Negative F edges
7,915
Positive F edges
85
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 1134232721
Degree 496 · weight 42,442
496
#2
NPI 1083639546
Degree 404 · weight 37,841
404
#3
NPI 1477648830
Degree 397 · weight 34,623
397
#4
NPI 1548353840
Degree 329 · weight 24,906
329
#5
NPI 1538252085
Degree 122 · weight 13,011
122
#6
NPI 1144243841
Degree 198 · weight 12,929
198
#7
NPI 1356489132
Degree 194 · weight 11,404
194
#8
NPI 1124074364
Degree 160 · weight 11,108
160
Most negative curvature
#1
Forman -192,054,129
1134232721 → 1477648830
Weight 1,293 · Forman -192,054,129
#2
Forman -140,558,031
1134232721 → 1548353840
Weight 955 · Forman -140,558,031
#3
Forman -135,806,657
1134232721 → 1538252085
Weight 1,519 · Forman -135,806,657
#4
Forman -100,574,611
1477648830 → 1548353840
Weight 874 · Forman -100,574,611
#5
Forman -97,867,361
1134232721 → 1669498986
Weight 861 · Forman -97,867,361
#6
Forman -87,526,779
1083639546 → 1144243841
Weight 1,117 · Forman -87,526,779
#7
Forman -83,483,144
1477648830 → 1538252085
Weight 1,275 · Forman -83,483,144
#8
Forman -79,999,697
1134232721 → 1437244910
Weight 602 · Forman -79,999,697
Strongest referral edges
#1
Weight 1,519
1134232721 → 1538252085
Weight 1,519 · Forman -135,806,657
#2
Weight 1,293
1134232721 → 1477648830
Weight 1,293 · Forman -192,054,129
#3
Weight 1,275
1477648830 → 1538252085
Weight 1,275 · Forman -83,483,144
#4
Weight 1,135
1083639546 → 1780603563
Weight 1,135 · Forman -75,274,195
#5
Weight 1,117
1083639546 → 1144243841
Weight 1,117 · Forman -87,526,779
#6
Weight 1,029
1538252085 → 1548353840
Weight 1,029 · Forman -49,583,037
#7
Weight 981
1083639546 → 1487659009
Weight 981 · Forman -75,632,361
#8
Weight 978
1083639546 → 1225054430
Weight 978 · Forman -68,819,537