Alternating sign matrices

DOI10.1016/0012-365X(94)00125-3zbMath0826.05014OpenAlexW2410308809MaRDI QIDQ1893978

Laurent Habsieger, Mireille Bousquet-Mélou

Publication date: 26 November 1995

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(94)00125-3

zbMATH Keywords

symmetriesalternating sign matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices of integers (15B36)

Related Items (9)

Diagonally and antidiagonally symmetric alternating sign matrices of odd order ⋮ The Prism tableau model for Schubert polynomials ⋮ Weight-preserving bijections between integer partitions and a class of alternating sign trapezoids ⋮ Weight-preserving bijections between integer partitions and a family of alternating sign trapezoids ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ Bumpless pipe dreams and alternating sign matrices ⋮ Unnamed Item ⋮ The open XXZ chain at Δ = −1/2 and the boundary quantum Knizhnik–Zamolodchikov equations ⋮ Hopf algebra structure on packed square matrices.

Uses Software

• ROBBINS

Cites Work

• Unnamed Item
• The story of 1,2,7,42,429,7436,..
• Alternating sign matrices and descending plane partitions
• Binomial determinants, paths, and hook length formulae
• Determinants and alternating sign matrices
• Alternating-sign matrices and domino tilings. I
• Proof of the alternating sign matrix conjecture

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