On digraphs and forbidden configurations of strong sign nonsingular matrices

DOI10.1016/S0024-3795(98)10063-0zbMath0940.05044MaRDI QIDQ1809099

Jia-yu Shao

Publication date: 25 November 1999

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

zbMATH Keywords

sign patternsign nonsingular matrixforbidden digraphs

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)

Related Items

The solution of a problem on matrices having signed generalized inverses ⋮ Inverse closed ray-nonsingular cones of matrices ⋮ Characterizations of some classes of strong sign nonsingular digraphs ⋮ Algebraic constructions of the minimal forbidden digraphs of strong sign nonsingular matrices ⋮ Some results on the structure and spectra of matrix-products ⋮ Matrices with signed generalized inverses ⋮ The S\(^2\)NS digraphs and the cycle linear system of a digraph

Cites Work

• Unnamed Item
• Signsolvability revisited
• Sign-nonsingular matrices and even cycles in directed graphs
• Characterization of even directed graphs
• When the sign pattern of a square matrix determines uniquely the sign pattern of its inverse
• Rectangular \(L\)-matrices
• Bipartite graphs and inverse sign patterns of strong sign-nonsingular matrices
• Full sign-invertibility and symplectic matrices
• The Even Cycle Problem for Directed Graphs
• Qualitative Economics and the Scope of the Correspondence Principle

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