Local bases of primitive non-powerful signed digraphs

DOI10.1016/j.disc.2008.01.012zbMath1168.05029OpenAlexW2000988287MaRDI QIDQ1011709

Longqin Wang, Chao Yan, Zheng-Ke Miao

Publication date: 9 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.01.012

zbMATH Keywords

primitivesigned digraphlocal basepowerful

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Directed graphs (digraphs), tournaments (05C20) Polyominoes (05B50) Signed and weighted graphs (05C22)

Related Items (10)

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 base of a primitive, nonpowerful sign pattern with exactly \(d\) nonzero diagonal entries ⋮ Bases of primitive nonpowerful sign patterns ⋮ Primitive non-powerful sign pattern matrices with base 2 ⋮ Bounds on the local bases of primitive, non-powerful, minimally strong 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 ⋮ On the local base of a primitive and nonpowerful sign pattern

Cites Work

• On the period and base of a sign pattern matrix
• The local exponent sets of primitive digraphs
• Bounds on the bases of irreducible generalized sign pattern matrices
• Generalized exponents of primitive directed graphs
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