Further results on the minimum rank of regular classes of \((0,1)\)-matrices

DOI10.1016/j.laa.2016.09.024zbMath1348.15003OpenAlexW2528856339MaRDI QIDQ331191

Jin Zhong, Chao Ma

Publication date: 26 October 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.09.024

zbMATH Keywords

upper boundminimum rankregular classes of \((0,1)\)-matrices

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Unnamed Item
• Biclique coverings of regular bigraphs and minimum semiring ranks of regular matrices
• Minimum matrix rank of k-regular (0,1) matrices
• On the minimum rank of regular classes of matrices of zeros and ones
• Singular (0,1) matrices with constant row and column sums
• Non-singular 0-1 matrices with constant row and column sums
• Determinants of certain classes of zero-one matrices with equal line sums
• Rank of adjacency matrices of directed (strongly) regular graphs
• Combinatorial Matrices with Small Determinants
• On upper bounds for the minimum rank of regular classes of (0,1)-matrices

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