A bijective proof of the ASM theorem. I: The operator formula
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Publication:2194086
DOI10.37236/9082zbMath1446.05006arXiv1910.04198OpenAlexW3083163437WikidataQ114023834 ScholiaQ114023834MaRDI QIDQ2194086
Matjaž Konvalinka, Ilse Fischer
Publication date: 25 August 2020
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.04198
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Cites Work
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- Proof of the Razumov-Stroganov conjecture
- On the weighted enumeration of alternating sign matrices and descending plane partitions
- Alternating-sign matrices and domino tilings. II
- Short proof of the ASM theorem avoiding the six-vertex model
- Descending plane partitions and rhombus tilings of a hexagon with a triangular hole
- The number of monotone triangles with prescribed bottom row
- A new proof of the refined alternating sign matrix theorem
- Gog and GOGAm pentagons
- On the doubly refined enumeration of alternating sign matrices and totally symmetric self-complementary plane partitions
- Alternating sign matrices and descending plane partitions
- Determinants and alternating sign matrices
- Plane partitions. III: The weak Macdonald conjecture
- A Rogers-Ramanujan bijection
- Alternating-sign matrices and domino tilings. I
- Plane partitions. V: The TSSCPP conjecture
- A large dihedral symmetry of the set of alternating sign matrices
- Sequences of labeled trees related to Gelfand-Tsetlin patterns
- Self-complementary totally symmetric plane partitions
- Proof of the alternating sign matrix conjecture
- A doubly-refined enumeration of alternating sign matrices and descending plane partitions
- The operator formula for monotone triangles - simplified proof and three generalizations
- Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order
- A constant term approach to enumerating alternating sign trapezoids
- Diagonally and antidiagonally symmetric alternating sign matrices of odd order
- A method for proving polynomial enumeration formulas
- Enumeration of symmetry classes of alternating sign matrices and characters of classical groups
- Plane partitions in the work of Richard Stanley and his school
- Enumeration of alternating sign triangles using a constant term approach
- Generalized Monotone Triangles: an extended Combinatorial Reciprocity Theorem
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