Sign-restricted matrices of 0's, 1's, and \(-1\)'s

DOI10.1016/j.laa.2021.01.001zbMath1459.05013arXiv2101.04150OpenAlexW3119159827MaRDI QIDQ2229510

Geir Dahl, Richard A. Brualdi

Publication date: 17 February 2021

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04150

zbMATH Keywords

polytopeBruhat orderalternating sign matrixsign matrixsign-restricted matrix

Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorics of partially ordered sets (06A07) Matrices of integers (15B36) Sign pattern matrices (15B35)

Related Items (2)

Partial alternating sign matrix bijections and dynamics ⋮ Unnamed Item

Cites Work

• Alternating sign matrices, extensions and related cones
• Higher SPIN alternating sign matrices
• The MacNeille completion of the poset of partial injective functions
• The alternating sign matrix polytope
• The network flows approach for matrices with given row and column sums
• Lattices and bases of Coxeter groups
• Alternating sign matrices and hypermatrices, and a generalization of Latin squares
• Sign matrix polytopes from Young tableaux
• Keys and alternating sign matrices
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