Bounds on the local bases of primitive, non-powerful, minimally strong signed digraphs

DOI10.1016/j.laa.2008.09.008zbMath1151.05020OpenAlexW2010244513MaRDI QIDQ959876

Hongping Ma

Publication date: 12 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.09.008

zbMATH Keywords

signed digraphlocal basepowerfulprimitive minimally strong digraph

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22)

Related Items (6)

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 ⋮ Primitive non-powerful sign pattern matrices with base 2 ⋮ The \(k\)th lower bases of primitive non-powerful signed digraphs ⋮ Thekth upper and lower bases of primitive nonpowerful minimally strong signed digraphs

Cites Work

• Unnamed Item
• On the exponent of a primitive digraph
• Bounds on the base of primitive nearly reducible sign pattern matrices
• Local bases of primitive non-powerful signed digraphs
• A system of gaps in the exponent set of primitive matrices
• On the period and base of a sign pattern matrix
• Gaps in the exponent set of primitive matrices
• Bounds on the bases of irreducible generalized sign pattern matrices
• Generalized exponents of primitive directed graphs
• Note on Linear Forms
• On the Exponent of a Primitive, Nearly Reducible Matrix. II

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