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Creators/Authors contains: "Setiabrata, Linus"

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  1. ; ; ; (, SIAM Journal on Discrete Mathematics)
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  2. ; ; (, Annals of Combinatorics)
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  3. ; ; (, Discrete & Computational Geometry)
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  4. ; (, Algebraic Combinatorics)
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  5. ; ; (, Transactions of the American Mathematical Society)
    We give a new operator formula for Grothendieck polynomials that generalizes Magyar’s Demazure operator formula for Schubert polynomials. Our proofs are purely combinatorial, contrasting with the geometric and representation theoretic tools used by Magyar. We apply our formula to prove a necessary divisibility condition for a monomial to appear in a given Grothendieck polynomial. 
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  6. ; (, International Mathematics Research Notices)
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    Abstract 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 Euclidean analogues of Coxeter’s frieze patterns. We prove that a generic Heronian frieze possesses the glide symmetry (hence is periodic) and establish the appropriate version of the Laurent phenomenon. For a closely related family of Cayley–Menger friezes, we identify an algebraic condition of coherence, which all friezes of geometric origin satisfy. This yields an unambiguous propagation rule for coherent Cayley–Menger friezes, as well as the corresponding periodicity results. 
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