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Original Articles

RC-Graphs and Schubert Polynomials

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Pages 257-269 | Published online: 03 Apr 2012

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Sami Assaf & Dominic Searles. (2022) Kohnert Polynomials. Experimental Mathematics 31:1, pages 93-119.
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Zachary Hamaker, Oliver Pechenik & Anna Weigandt. (2022) Gröbner geometry of Schubert polynomials through ice. Advances in Mathematics 398, pages 108228.
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Hassan Hatam, Joseph Johnson, Ricky Ini Liu & Maria Macaulay. (2021) Determinantal Formulas for SEM Expansions of Schubert Polynomials. Annals of Combinatorics 25:4, pages 1049-1074.
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Thomas Lam, Seung Jin Lee & Mark Shimozono. (2021) Back stable Schubert calculus. Compositio Mathematica 157:5, pages 883-962.
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Yibo Gao. (2021) Principal specializations of Schubert polynomials and pattern containment. European Journal of Combinatorics 94, pages 103291.
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Neil J.Y. Fan & Peter L. Guo. (2020) A note on specializations of Grothendieck polynomials. Discrete Mathematics 343:7, pages 111877.
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Anatol N. KIRILLOV & Hiroshi NARUSE. (2017) Construction of Double Grothendieck Polynomials of Classical Types using IdCoxeter Algebras. Tokyo Journal of Mathematics 39:3.
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Sami Assaf & Dominic Searles. (2017) Schubert polynomials, slide polynomials, Stanley symmetric functions and quasi-Yamanouchi pipe dreams. Advances in Mathematics 306, pages 89-122.
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Sergey Bereg, Alexander E. Holroyd, Lev Nachmanson & Sergey Pupyrev. (2016) Representing Permutations with Few Moves. SIAM Journal on Discrete Mathematics 30:4, pages 1950-1977.
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Anna Bertiger. (2015) Generating the Ideals Defining Unions of Schubert Varieties. International Mathematics Research Notices 2015:21, pages 10847-10858.
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Benjamin J. Wyser & Alexander Yong. (2014) Polynomials for $$\mathrm{GL}_p\times \mathrm{GL}_q$$ GL p × GL q orbit closures in the flag variety. Selecta Mathematica 20:4, pages 1083-1110.
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Nan Li. (2013) A canonical expansion of the product of two Stanley symmetric functions. Journal of Algebraic Combinatorics 39:4, pages 833-851.
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Chris Berg, Franco Saliola & Luis Serrano. (2014) Combinatorial Expansions for Families of Noncommutative $k$-Schur Functions. SIAM Journal on Discrete Mathematics 28:3, pages 1074-1092.
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Olcay Coşkun & Müge Taşkın. (2013) Tower tableaux. Journal of Combinatorial Theory, Series A 120:4, pages 843-871.
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Valentina A Kirichenko, Evgeny Yu Smirnov & Vladlen A Timorin. (2012) Schubert calculus and Gelfand-Zetlin polytopes. Russian Mathematical Surveys 67:4, pages 685-719.
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Martin Rubey. (2012) Maximal 0–1-fillings of moon polyominoes with restricted chain lengths and rc-graphs. Advances in Applied Mathematics 48:2, pages 290-305.
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Валентина Алексеевна Кириченко, Valentina Alekseevna Kirichenko, Валентина Алексеевна Кириченко, Valentina Alekseevna Kirichenko, Евгений Юрьевич Смирнов, Evgeny Yurievich Smirnov, Евгений Юрьевич Смирнов, Evgeny Yurievich Smirnov, Владлен Анатольевич Тиморин, Vladlen Anatol'evich Timorin, Владлен Анатольевич Тиморин & Vladlen Anatol'evich Timorin. (2012) Исчисление Шуберта и многогранники Гельфанда - ЦетлинаSchubert calculus and Gelfand - Tsetlin polytopes. Успехи математических наук Uspekhi Matematicheskikh Nauk 67:4, pages 89-128.
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Li Li & Alexander Yong. (2012) Some degenerations of Kazhdan–Lusztig ideals and multiplicities of Schubert varieties. Advances in Mathematics 229:1, pages 633-667.
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Cristian Lenart. (2010) Growth diagrams for the Schubert multiplication. Journal of Combinatorial Theory, Series A 117:7, pages 842-856.
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Allen Knutson, Ezra Miller & Mark Shimozono. (2006) Four positive formulae for type A quiver polynomials. Inventiones mathematicae 166:2, pages 229-325.
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Ezra Miller. (2005) Alternating formulas for K -theoretic quiver polynomials. Duke Mathematical Journal 128:1.
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Mikhail Kogan & Ezra Miller. (2005) Toric degeneration of Schubert varieties and Gelfand–Tsetlin polytopes. Advances in Mathematics 193:1, pages 1-17.
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Alexander Yong. (2005) On Combinatorics of Quiver Component Formulas. Journal of Algebraic Combinatorics 21:3, pages 351-371.
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Anders Buch. (2004) Alternating signs of quiver coefficients. Journal of the American Mathematical Society 18:1, pages 217-237.
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Allen Knutson & Ezra Miller. (2004) Subword complexes in Coxeter groups. Advances in Mathematics 184:1, pages 161-176.
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Cristian Lenart & Frank Sottile. (2003) Skew Schubert polynomials. Proceedings of the American Mathematical Society 131:11, pages 3319-3328.
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Ezra Miller. (2003) Mitosis recursion for coefficients of Schubert polynomials. Journal of Combinatorial Theory, Series A 103:2, pages 223-235.
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Mikhail Kogan. (2003) Generalization of Schensted insertion algorithm to the cases of hooks and semi-shuffles. Journal of Combinatorial Theory, Series A 102:1, pages 110-135.
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Rudolf Winkel. (1999) Diagram Rules for the Generation of Schubert Polynomials. Journal of Combinatorial Theory, Series A 86:1, pages 14-48.
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Cristian Lenart. (1999) Noncommutative Schubert Calculus and Grothendieck Polynomials. Advances in Mathematics 143:1, pages 159-183.
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Nantel Bergeron & Frank Sottile. (1998) Schubert polynomials, the Bruhat order, and the geometry of flag manifolds. Duke Mathematical Journal 95:2.
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Rudolf Winkel. (1998) On the Multiplication of Schubert Polynomials. Advances in Applied Mathematics 20:1, pages 73-97.
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Axel Kohnert. (1997) Multiplication of a Schubert polynomial by a Schur polynomial. Annals of Combinatorics 1:1, pages 367-375.
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