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math.CO2019
Lorentzian polynomials from polytope projections
Karola Mészáros, Linus Setiabrata
Lorentzian polynomials, recently introduced by Brändén and Huh, generalize the notion of log-concavity of sequences to homogeneous polynomials whose supports are integer points of…
math.MG2019
Heronian friezes
Sergey Fomin, Linus Setiabrata
Motivated by computational geometry of point configurations on the Euclidean plane, and by the theory of cluster algebras of type A, we introduce and study Heronian friezes, the Eu…
math.CO2019
Counting integer points of flow polytopes
Kabir Kapoor, Karola Mészáros, Linus Setiabrata
The Baldoni--Vergne volume and Ehrhart polynomial formulas for flow polytopes are significant in at least two ways. On one hand, these formulas are in terms of Kostant partition fu…