Multi-gbase index of primitive anti-symmetric sign pattern matrices

DOI10.1080/03081080701861849zbMath1221.15019OpenAlexW2117541480MaRDI QIDQ3391681

Yanting Liang, Hong-Jian Lai, Bo Lian Liu

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1080/03081080701861849

zbMATH Keywords

extremal graphsign pattern matricesmulti-\(g\) base index

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Sign pattern matrices (15B35)

Related Items (5)

A survey on bases of sign pattern matrices ⋮ The generalized \(\tau \)-bases of primitive non-powerful signed digraphs with \(d\) loops ⋮ Primitive zero-symmetric sign pattern matrices with zero diagonal attaining the maximum base ⋮ Thekth upper and lower bases of primitive nonpowerful minimally strong signed digraphs ⋮ THE PRIMITIVE BASES OF THE SIGNED CYCLIC GRAPHS

Cites Work

• Unnamed Item
• Irreducible sign \(k\)-potent sign pattern matrices
• Generalized exponents of non-primitive graphs
• On the period and base of a sign pattern matrix
• Generalized exponents of primitive symmetric digraphs
• Generalized exponents of Boolean matrices
• Bounds on the bases of irreducible generalized sign pattern matrices
• Generalized exponents of primitive directed graphs

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