3 problems

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Quarter-integrality conjecture for T-join covering systems
Quarter-integrality conjecture. The system
Conjectureopencombinatorial-optimization dyadicness set-coveringarXiv posted 3 days ago
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Seymour's TDD conjecture for integral set covering systems
Seymour's TDD conjecture. If
Conjectureopenintegral-polyhedra set-covering total-dual-dyadicnessarXiv posted 3 days ago
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Converse characterization of facet-defining minor inequalities for circulant matrices
Converse facet conjecture. A minor inequality defines a facet only if it corresponds to a relevant minor isomorphic to $C_{n'}^{k'}$ with
Conjectureopencirculant-matrices polyhedral-combinatorics set-coveringarXiv posted 3 days ago

Quarter-integrality conjecture for T-join covering systems