Weighted projections of alternating sign matrices: Latin-like squares and the ASM polytope

DOI10.37236/11741arXiv2212.11676OpenAlexW4391258598MaRDI QIDQ6117413

Cian O'Brien

Publication date: 19 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11676

zbMATH Keywords

alternating sign matrixpermutohedronweighted projectionmonotone trianglealternating sign hypermatrixASM polytopeLatin-like square

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Orthogonal arrays, Latin squares, Room squares (05B15)

Cites Work

• Unnamed Item
• Patterns of alternating sign matrices
• Alternating sign matrices, extensions and related cones
• A theorem on flows in networks
• Higher SPIN alternating sign matrices
• The alternating sign matrix polytope
• The Waldspurger transform of permutations and alternating sign matrices
• Alternating sign matrices of finite multiplicative order
• Alternating sign hypermatrix decompositions of Latin-like squares
• Alternating sign matrices and their Bruhat order
• Combinatorial Properties of Matrices of Zeros and Ones
• A Simple Proof of the Gale-Ryser Theorem
• An Inequality

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