Permutation (Matrices) and Beyond

DOI10.21494/iste.op.2021.0695OpenAlexW3184588765MaRDI QIDQ6177224

Richard A. Brualdi

Publication date: 31 August 2023

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21494/iste.op.2021.0695

zbMATH Keywords

polytopepermutationpermutation matrixBruhat orderalternating sign matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Permutations, words, matrices (05A05)

Cites Work

• Patterns of alternating sign matrices
• Alternating sign matrices, extensions and related cones
• Higher SPIN alternating sign matrices
• The alternating sign matrix polytope
• Alternating sign matrices and descending plane partitions
• Lattices and bases of Coxeter groups
• Alternating sign matrices and hypermatrices, and a generalization of Latin squares
• Alternating sign matrices and their Bruhat order
• Combinatorics of Coxeter Groups
• Corrigendum: Combinatorial properties of integer matrices and integer matrices mod k
• A Generalization of Alternating Sign Matrices
• Partially Ordered Sets
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