Wiki
Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.
source_record.json
json
{
"title": "Transversals and Matroid Partition",
"authors": [
"Jack Edmonds",
"D. R. Fulkerson"
],
"journal": "Journal of Research of the National Bureau of Standards - B. Mathematics and Mathematical Physics",
"volume": "69B",
"issue": "3",
"year": 1965,
"issue_date": "July-September 1965",
"printed_pages": "147-153",
"doi": "10.6028/jres.069B.016",
"canonical_pdf": {
"file": "edmonds_1965_transversals_matroid_partition.pdf",
"bytes": 8638673,
"physical_pages": 7,
"version": "Published journal scan"
},
"primary_urls": [
"https://nvlpubs.nist.gov/nistpubs/jres/69B/jresv69Bn3p147_A1b.pdf",
"https://www.nist.gov/nist-research-library/journal-research-volume-69b",
"https://api.crossref.org/works/10.6028%2Fjres.069B.016"
],
"accessed": "2026-09-05",
"header_date": "June 9, 1965; its parenthetical printing is not reinterpreted as received or accepted.",
"metadata_notes": [
"The printed original gives Fulkerson and pp.147-153; Crossref truncates the surname to Fulkerso and records only page 147.",
"The first-page conference footnote prints August 21 to July 1, 1965. No corrected conference date is inferred.",
"Digital creation/modification dates in 2010/2011 concern the scan, not a separate mathematical version."
],
"version_limit": "No distinct manuscript or author version is retained or claimed equivalent.",
"reading": {
"physical_pages_visually_read": [
1,
2,
3,
4,
5,
6,
7
],
"printed_pages": [
147,
148,
149,
150,
151,
152,
153
],
"method": "Original-detail page renders; preexisting text only for navigation; no OCR run."
},
"proof_boundary": "Local matroid proofs, flow reductions and matching lifting are reconstructed. Hall, Konig, integral max-flow/min-cut and the exact separate Edmonds matching-structure theorem remain external."
}
Graph