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On the digraphs of sign solvable linear systems

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Publication:1579516
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DOI10.1016/S0024-3795(00)00107-5zbMath0958.15003MaRDI QIDQ1579516

Jia-yu Shao

Publication date: 2 April 2001

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


zbMATH Keywords

directed graphqualitative matrix theorysigned digraphsign-solvable linear systems


Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Linear equations (linear algebraic aspects) (15A06)




Cites Work

  • Unnamed Item
  • Recognizing sign solvable graphs
  • 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
  • Sign solvable graphs
  • Rectangular \(L\)-matrices
  • Bipartite graphs and inverse sign patterns of strong sign-nonsingular matrices
  • Graph-theoretical approach to qualitative solvability of linear systems
  • Full sign-invertibility and symplectic matrices
  • On digraphs with the odd cycle property
  • The Even Cycle Problem for Directed Graphs
  • Qualitative Economics and the Scope of the Correspondence Principle
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