Characterizations and applications of the isolated sets of permutations

DOI10.1080/03081080500532997zbMath1118.15003OpenAlexW2049299492MaRDI QIDQ3422758

Ling-Zhi Ren, Qun Wu, Jia-yu Shao

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/03081080500532997

zbMATH Keywords

graphtransversalpermutation matriceslinear independencematrixisolated set\((0, 1)\) matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Permutations, words, matrices (05A05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Isolated sets of diagonals, diagonal hypergraphs, and simplices of doubly stochastic matrices

Cites Work

• On ray-nonsingular matrices.
• Extremal properties of ray-nonsingular matrices
• The determinantal regions of complex sign pattern matrices and ray pattern matrices
• On signed digraphs with all cycles negative

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