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Dominant eigenvalue and universal winners of digraphs

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Publication:6544513
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DOI10.1016/j.laa.2024.04.033zbMATH Open1540.05109MaRDI QIDQ6544513

Sirshendu Pan, S. Pati, Steve Kirkland

Publication date: 27 May 2024

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




zbMATH Keywords

spectral radiusadjacency matricesweighted digraphsstructural dominationuniversal winners


Mathematics Subject Classification ID

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


Cites Work

  • Title not available (Why is that?)
  • Graph theoretic aspects of maximizing the spectral radius of nonnegative matrices
  • Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
  • Symmetric matrices associated with a nonnegative matrix
  • Dominant eigenvalues under trace-preserving diagonal perturbations
  • Maximizing the spectral radius of fixed trace diagonal perturbations of nonnegative matrices
  • Shorter Notes: Convexity of the Dominant Eigenvalue of an Essentially Nonnegative Matrix
  • Derivatives of the spectral radius as a function of non-negative matrix elements







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