Walnut Hill Medical Center · Referral network
HSA 45068 · 2017 · 2235 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
-940,502
Median F
-121,378
Min F
-57,708,726
Max F
457.8
From referral_network_features
Precomputed on the full thresholded network (all edges, Python toolkit, unit node weights).
Nodes
4,470
Edges
69,967
Avg clustering
0.554
Density
0.0070
Forman μ
-117.6
Forman σ
172
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
453,282
Avg degree
7.16
Max degree
391
Negative F edges
7,891
Positive F edges
109
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 1124082854
Degree 391 · weight 32,290
391
#2
NPI 1427064088
Degree 98 · weight 8,618
98
#3
NPI 1336107507
Degree 83 · weight 8,353
83
#4
NPI 1245301076
Degree 75 · weight 7,347
75
#5
NPI 1558398222
Degree 91 · weight 6,906
91
#6
NPI 1205813599
Degree 104 · weight 6,867
104
#7
NPI 1710900527
Degree 84 · weight 6,863
84
#8
NPI 1669480828
Degree 83 · weight 6,507
83
Most negative curvature
#1
Forman -57,708,726
1124082854 → 1245301076
Weight 903 · Forman -57,708,726
#2
Forman -52,140,556
1124082854 → 1275710402
Weight 761 · Forman -52,140,556
#3
Forman -48,329,927
1124082854 → 1144394461
Weight 664 · Forman -48,329,927
#4
Forman -47,844,722
1124082854 → 1922209634
Weight 648 · Forman -47,844,722
#5
Forman -47,194,201
1114931110 → 1124082854
Weight 640 · Forman -47,194,201
#6
Forman -45,578,250
1124082854 → 1356304083
Weight 597 · Forman -45,578,250
#7
Forman -45,173,080
1124082854 → 1427064088
Weight 525 · Forman -45,173,080
#8
Forman -43,133,043
1124082854 → 1487801387
Weight 531 · Forman -43,133,043
Strongest referral edges
#1
Weight 1,650
1669480828 → 1710900527
Weight 1,650 · Forman -7,687,475
#2
Weight 1,629
1750311726 → 1861410995
Weight 1,629 · Forman -246,639
#3
Weight 1,178
1184643728 → 1447387972
Weight 1,178 · Forman -262,773
#4
Weight 903
1124082854 → 1245301076
Weight 903 · Forman -57,708,726
#5
Weight 761
1124082854 → 1275710402
Weight 761 · Forman -52,140,556
#6
Weight 707
1548692593 → 1710900527
Weight 707 · Forman -2,581,007
#7
Weight 673
1275974396 → 1710900527
Weight 673 · Forman -2,513,111
#8
Weight 669
1548692593 → 1669480828
Weight 669 · Forman -2,422,072