Bounds on the \(k\)th multi-\(g\) base index of nearly reducible sign pattern matrices

DOI10.1016/j.disc.2007.09.004zbMath1167.15013OpenAlexW2030624198MaRDI QIDQ947803

Qian Li, Bo Lian Liu

Publication date: 7 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.09.004

zbMATH Keywords

cycleboundirreducible matrices\(k\)th multi-\(g\) base indexgeneralized sign pattern matricesnearly reducible matrices

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Directed graphs (digraphs), tournaments (05C20) Vector spaces, linear dependence, rank, lineability (15A03) Signed and weighted graphs (05C22)

Related Items (8)

A survey on bases of sign pattern matrices ⋮ The generalized \(\tau \)-bases of primitive non-powerful signed digraphs with \(d\) loops ⋮ The proof of a conjecture on the Lewin number of primitive non-powerful signed digraphs ⋮ The \(k\)th lower bases of primitive non-powerful signed digraphs ⋮ Thekth upper and lower bases of primitive nonpowerful minimally strong signed digraphs ⋮ BASE OF THE NON-POWERFUL SIGNED TOURNAMENT ⋮ THE BASES OF PRIMITIVE NON-POWERFUL COMPLETE SIGNED GRAPHS ⋮ THE PRIMITIVE BASES OF THE SIGNED CYCLIC GRAPHS

Cites Work

• Bounds on the base of primitive nearly reducible sign pattern matrices
• Irreducible sign \(k\)-potent sign pattern matrices
• On the period and base of a sign pattern matrix
• Irreducible powerful ray pattern matrices
• Bounds on the bases of irreducible generalized sign pattern matrices
• On the Exponent of a Primitive, Nearly Reducible Matrix
• On the Exponent of a Primitive, Nearly Reducible Matrix. II
• On a Linear Diophantine Problem
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