Thekth upper and lower bases of primitive nonpowerful minimally strong signed digraphs

DOI10.1080/03081087.2011.651720zbMath1252.05077OpenAlexW2081873652MaRDI QIDQ5200338

Yanling Shao, Jian Shen, Yu-Bin Gao

Publication date: 5 November 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.651720

zbMATH Keywords

primitive matrixsign patternbase set

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22) Sign pattern matrices (15B35)

Related Items (3)

The scrambling index set of primitive minimally strong digraphs ⋮ A survey on bases of sign pattern matrices ⋮ The generalized competition indices of primitive minimally strong digraphs

Cites Work

• The base of a primitive, nonpowerful sign pattern with exactly \(d\) nonzero diagonal entries
• Bounds on the base of primitive nearly reducible sign pattern matrices
• Bounds on the \(k\)th multi-\(g\) base index of nearly reducible sign pattern matrices
• Bounds on the local bases of primitive, non-powerful, minimally strong signed digraphs
• The base sets of quasi-primitive zero-symmetric sign pattern matrices with zero trace
• Local bases of primitive non-powerful signed digraphs
• The \(k\)th upper bases of primitive non-powerful signed digraphs
• On the period and base of a sign pattern matrix
• The \(k\)th lower bases of primitive non-powerful signed digraphs
• A conjecture about lower multiexponent of primitive matrices
• Bounds on the bases of irreducible generalized sign pattern matrices
• The base sets of primitive zero-symmetric sign pattern matrices
• Generalized exponents of primitive directed graphs
• Multi-gbase index of primitive anti-symmetric sign pattern matrices
• Bounds on thek-th generalized base of a primitive sign pattern matrix
• Bounds on the local bases of primitive nonpowerful nearly reducible sign patterns
• On a conjecture about the generalized exponent of primitive matrices
• On the Exponent of a Primitive, Nearly Reducible Matrix. II

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