Combinatorial properties of integer matrices and integer matrices modk

DOI10.1080/03081087.2017.1356260zbMath1387.05030OpenAlexW2742072316MaRDI QIDQ4640107

Seth A. Meyer, Richard A. Brualdi

Publication date: 16 May 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2017.1356260

zbMATH Keywords

integer matricespermutation matrixinteger modulesintegers modulo \(k\)

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrices of integers (15B36)

Related Items

Corrigendum: Combinatorial properties of integer matrices and integer matrices mod k ⋮ Pattern-avoiding \(( 0 , 1 )\)-matrices and bases of permutation matrices ⋮ Symmetric, Hankel-symmetric, and centrosymmetric doubly stochastic matrices ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Notes on Birkhoff-von Neumann decomposition of doubly stochastic matrices
• A Gale-Berlekamp permutation-switching problem
• Alternating sign matrices, extensions and related cones
• An integer analogue of Carathéodory's theorem
• On total dual integrality
• Marriage, Magic, and Solitaire
• Cyclic Matching Sequencibility of Graphs
• Comments on a Paper of R. A. Brualdi
• Some Basis Theorems for Integral Monoids
• A counterexample to an integer analogue of Carathéodory's theorem
• A Set of Linearly Independent Permutation Matrices