Problem packetResearch packetR280
Prove total unimodularity
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The recorded evidence grade has no defined assessment here. The outcome applies to this attempt's recorded scope.
Attempt outcome: open strategy
Recorded scope: No scope is recorded.
Originating problem: Determinants of the Fibonacci-sum matrix
Authored record and scope
- Authored title
- Prove total unimodularity
- Record type
- attempt
- Stored status
- open_strategy
- Evidence grade
- proposed
Work and source credit
- Recorded action
No action description supplied.
- Authored result summary
Seek a consecutive-ones ordering, network-matrix representation, or Ghouila-Houri signing for all rows of M_n.
- Reported outcome
No separate outcome supplied.
- Recorded status
open_strategy
- Recorded evidence grade
proposed
- Recorded scope
No explicit scope supplied.
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2Authored explanation
A proof would settle every minor at once. The irregular Fibonacci anti-diagonals make standard interval criteria hard to apply.
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Replay material: source only
3Outcome
A verification source is cited. This record has no executable replay attached.
Verification source: mathoverflow.net ↗, comment lines 109-124
4How it connects
Addresses
- claim
Replaced by
- attempt
Cite this record
Cite the original sources separately.
Machine-readable record
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"slug": "fib-attempt-total-unimodularity",
"type": "attempt",
"title": "Prove total unimodularity",
"summary": "Seek a consecutive-ones ordering, network-matrix representation, or Ghouila-Houri signing for all rows of M_n.",
"relevance": "For fib problem determinant range; fib problem nonzero support, record fib-attempt-total-unimodularity (“Prove total unimodularity”) documents a concrete method, search boundary, or failed route. The record states: Seek a consecutive-ones ordering, network-matrix representation, or Ghouila-Houri signing for all rows of M_n.",
"relevance_source": "recorded",
"body": "A proof would settle every minor at once. The irregular Fibonacci anti-diagonals make standard interval criteria hard to apply.",
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"url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
"locator": "comment lines 109-124"
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"url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
"locator": "comment lines 109-124"
},
"models": [],
"relations": [
{
"slug": "R306",
"title": "The matrices may be totally unimodular",
"object_type": "claim",
"relation": "addresses",
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{
"slug": "R281",
"title": "Prove total unimodularity",
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}6Provenance
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