Maximal generalized rank in graphical matrix spaces

DOI10.1007/s11856-023-2508-6zbMath1525.05111arXiv2212.11193OpenAlexW4387478613MaRDI QIDQ6076194

Alexander E. Guterman, Unnamed Author, Roy Meshulam

Publication date: 23 October 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11193

zbMATH Keywords

acyclicityirreducibilitynilpotencystrong connectivity

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

On linear preservers of permanental rank

Cites Work

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• Permanent Polya problem for additive surjective maps
• Maximal rank in matrix spaces via graph matchings
• On the linear preservers of Schur matrix functionals
• On Spaces of Linear Transformations with Bounded Rank
• ON THE MAXIMAL RANK IN A SUBSPACE OF MATRICES
• Combinatorial Nullstellensatz
• Spaces of \(p\)-vectors of bounded rank
• Connections between graphs and matrix spaces

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