United Medical Center · Referral network

HSA 9001 · 2016 · 1373 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
-405,195
Median F
-123,795
Min F
-13,209,907
Max F
292

From referral_network_features

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

Nodes
1,904
Edges
25,620
Avg clustering
0.553
Density
0.0141
Forman μ
-66.9
Forman σ
80.6

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
403,628
Avg degree
11.65
Max degree
194
Negative F edges
7,943
Positive F edges
57
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 1699901769
Degree 164 · weight 11,976
164
#2
NPI 1184760662
Degree 148 · weight 11,052
148
#3
NPI 1073770293
Degree 194 · weight 10,629
194
#4
NPI 1598719981
Degree 165 · weight 10,186
165
#5
NPI 1598739724
Degree 169 · weight 9,426
169
#6
NPI 1841309168
Degree 104 · weight 8,555
104
#7
NPI 1417994716
Degree 140 · weight 7,219
140
#8
NPI 1467401182
Degree 76 · weight 7,047
76

Most negative curvature

#1
Forman -13,209,907
1073770293 → 1699901769
Weight 449 · Forman -13,209,907
#2
Forman -13,051,577
1184760662 → 1699901769
Weight 617 · Forman -13,051,577
#3
Forman -11,116,305
1073770293 → 1184760662
Weight 383 · Forman -11,116,305
#4
Forman -9,195,622
1073770293 → 1598719981
Weight 226 · Forman -9,195,622
#5
Forman -8,090,466
1598719981 → 1598739724
Weight 228 · Forman -8,090,466
#6
Forman -7,797,110
1073770293 → 1598739724
Weight 175 · Forman -7,797,110
#7
Forman -7,360,666
1417994716 → 1598719981
Weight 269 · Forman -7,360,666
#8
Forman -6,960,426
1255381778 → 1598719981
Weight 577 · Forman -6,960,426

Strongest referral edges

#1
Weight 1,004
1962478578 → 1972578748
Weight 1,004 · Forman -1,417,418
#2
Weight 837
1467401182 → 1598841819
Weight 837 · Forman -3,052,775
#3
Weight 817
1033230453 → 1386763373
Weight 817 · Forman -643,194
#4
Weight 687
1457550444 → 1497861025
Weight 687 · Forman -124,775
#5
Weight 685
1417104662 → 1649267519
Weight 685 · Forman -105,742
#6
Weight 680
1013014802 → 1437326501
Weight 680 · Forman -481,928
#7
Weight 671
1013014802 → 1033273032
Weight 671 · Forman -461,383
#8
Weight 634
1356639702 → 1952544587
Weight 634 · Forman -1,338,427