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math.CO2026
Vertex Posets, Monotone Path Polytopes, and Chow Polynomials
Mateusz MichaÅek, Leonid Monin, Botong Wang
Let be a convex polytope and let be a linear functional which is nonconstant on every edge of . The induced acyclic orientation determines positive…
math.CO2024
Faces of Cosmological Polytopes
Lukas Kühne, Leonid Monin
A cosmological polytope is a lattice polytope introduced by Arkani-Hamed, Benincasa, and Postnikov in their study of the wavefunction of the universe in a class of cosmological mod…