Frobenius-König theorem for classes of \((0, \pm 1)\)-matrices

DOI10.1016/J.DISC.2024.113951MaRDI QIDQ6494932

Geir Dahl, Richard A. Brualdi

Publication date: 30 April 2024

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

zbMATH Keywords

combinatorial matrix theory\((0, \pm 1)\)-matricesFrobenius-König theorem

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) Eigenvalues, singular values, and eigenvectors (15A18) Stochastic matrices (15B51) Sign pattern matrices (15B35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Patterns of alternating sign matrices
• The alternating sign matrix polytope
• The concepts of irreducibility and full indecomposability of a matrix in the works of Frobenius, König and Markov
• Alternating sign matrices and hypermatrices, and a generalization of Latin squares
• Alternating sign matrices and their Bruhat order
• Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions
• Partial Permutation and Alternating Sign Matrix Polytopes

This page was built for publication: Frobenius-König theorem for classes of \((0, \pm 1)\)-matrices