3 problems

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The obstruction-containment conjecture relating TP and TN completion
TP-to-TN obstruction conjecture. All TP obstructions contain a TN obstruction.
Conjecturerefutedmatrix-completions total-nonnegative-matrices total-positivityarXiv posted 2 days ago
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The finiteness conjecture for $k$ -variable TN obstructions
TN-obstruction finiteness conjecture. For every $k$ , there are finitely many $k$ -variable TN obstructions.
Conjecturerefutedmatrix-completions total-nonnegative-matricesarXiv posted 2 days ago
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The conjecture that TN-completable patterns are TP-completable
TN-to-TP completion conjecture. All TN-completable patterns are also TP-completable.
Conjecturerefutedmatrix-completions total-nonnegative-matrices total-positivityarXiv posted 2 days ago

The obstruction-containment conjecture relating TP and TN completion