A direct bijection between descending plane partitions with no special parts and permutation matrices
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Publication:409382
DOI10.1016/j.disc.2011.07.030zbMath1247.05026arXiv1002.3391OpenAlexW2005089487MaRDI QIDQ409382
Publication date: 13 April 2012
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1002.3391
Related Items (9)
Weight-preserving bijections between integer partitions and a class of alternating sign trapezoids ⋮ Sign matrix polytopes from Young tableaux ⋮ Trivial meet and join within the lattice of monotone triangles. ⋮ Weight-preserving bijections between integer partitions and a family of alternating sign trapezoids ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ Promotion and rowmotion ⋮ On the weighted enumeration of alternating sign matrices and descending plane partitions ⋮ Permutation totally symmetric self-complementary plane partitions ⋮ A statistics-respecting bijection between permutation matrices and descending plane partitions without special parts
Uses Software
Cites Work
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- Proof of the Razumov-Stroganov conjecture
- A unifying poset perspective on alternating sign matrices, plane partitions, Catalan objects, tournaments, and tableaux
- On the weighted enumeration of alternating sign matrices and descending plane partitions
- A natural bijection between permutations and a family of descending plane partitions
- Alternating sign matrices and descending plane partitions
- Proof of the Macdonald conjecture
- Proof of the alternating sign matrix conjecture
- Alternating sign matrices with one \(-1\) under vertical reflection
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