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Simplex faces and quadratic toric ideals of lattice polytopes

math.CO · 2026-06-18 · unverdicted · novelty 6.0

Introduces the clique-face property and proves its relation to quadratic toric ideal generation for lattice polytopes, with equivalences for edge and cut polytopes and verifications for matroid polytopes.

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  • Simplex faces and quadratic toric ideals of lattice polytopes math.CO · 2026-06-18 · unverdicted · none · ref 2

    Introduces the clique-face property and proves its relation to quadratic toric ideal generation for lattice polytopes, with equivalences for edge and cut polytopes and verifications for matroid polytopes.