On the period and base of a sign pattern matrix
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Publication:1344054
DOI10.1016/0024-3795(94)90398-0zbMath0821.15017OpenAlexW2027541388MaRDI QIDQ1344054
Zhongshan Li, Carolyn A. Eschenbach, Frank J. Hall
Publication date: 9 February 1995
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(94)90398-0
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Hermitian, skew-Hermitian, and related matrices (15B57) Directed graphs (digraphs), tournaments (05C20)
Related Items (42)
Sign \(k\)-potent sign patterns and ray \(k\)-potent ray patterns that admit \(k\)-potence ⋮ Irreducible powerful ray pattern matrices ⋮ Gaps in the base set of primitive nonpowerful sign patterns ⋮ A survey on bases of sign pattern matrices ⋮ Bounds on the base of primitive nearly reducible sign pattern matrices ⋮ The graphs of the unambiguous entries in the product of two \((+,-)\) 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 symmetric loop-free signed digraphs with given base and minimum number of arcs ⋮ The base of a primitive, nonpowerful sign pattern with exactly \(d\) nonzero diagonal entries ⋮ The structure of nonnegative cyclic matrices ⋮ Matrices with totally signed powers. ⋮ Primitive zero-symmetric sign pattern matrices with zero diagonal attaining the maximum base ⋮ Bases of primitive nonpowerful sign patterns ⋮ Periodic, reducible, powerful ray pattern matrices ⋮ Tan's epsilon-determinant and ranks of matrices over semirings ⋮ Bounds on the bases of irreducible generalized sign pattern matrices ⋮ The period and base of a reducible sign pattern matrix ⋮ Imprimitive non-powerful sign pattern matrices with maximum base ⋮ A structural characterization of realk-potent matrices ⋮ Primitive non-powerful sign pattern matrices with base 2 ⋮ Bounds on the \(k\)th multi-\(g\) base index of nearly reducible sign pattern matrices ⋮ The base sets of primitive zero-symmetric sign pattern matrices ⋮ Bounds on thek-th generalized base of a primitive sign pattern matrix ⋮ Bounds on the local bases of primitive, non-powerful, minimally strong signed digraphs ⋮ Periodic, irreducible, powerful ray pattern matrices ⋮ The structure of tripotent sign pattern matrices ⋮ The minimum upper bound on the first ambiguous power of an irreducible, nonpowerful ray or sign pattern ⋮ Primitive zero-symmetric sign pattern matrices with the maximum base ⋮ The \(k\)th lower bases of primitive non-powerful signed digraphs ⋮ The base sets of quasi-primitive zero-symmetric sign pattern matrices with zero trace ⋮ Reducible powerful ray pattern matrices ⋮ Thekth upper and lower bases of primitive nonpowerful minimally strong signed digraphs ⋮ Eigenvalue distribution of certain ray patterns ⋮ Bounds on the local bases of primitive nonpowerful nearly reducible sign patterns ⋮ Local bases of primitive non-powerful signed digraphs ⋮ Multi-gbase index of primitive anti-symmetric sign pattern matrices ⋮ The index of maximum ambiguous density for irreducible non-powerful sign pattern matrices ⋮ The \(k\)th upper bases of primitive non-powerful signed digraphs ⋮ On the local base of a primitive and nonpowerful sign pattern ⋮ THE PRIMITIVE BASES OF THE SIGNED CYCLIC GRAPHS ⋮ Irreducible, pattern \(k\)-potent ray pattern matrices
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