Sharp bounds for the spectral radius of digraphs

DOI10.1016/J.LAA.2008.05.006zbMath1178.05065OpenAlexW2090958723MaRDI QIDQ1002262

Changqing Xu, Guang-Hui Xu

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.05.006

zbMATH Keywords

eigenvaluespectral radiusadjacency matrixdigraphssharp boundsoutdegree nregularoutdegree semi regularstrongly connected graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (8)

Sharp bounds for the signless Laplacian spectral radius of digraphs ⋮ Sharp bounds on the spectral radius of nonnegative matrices and digraphs ⋮ Some upper bounds for the signless Laplacian spectral radius of digraphs ⋮ Sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix and its applications ⋮ Spectra of digraphs ⋮ Improved upper and lower bounds for the spectral radius of digraphs ⋮ Sharp bounds for spectral radius of nonnegative weakly irreducible tensors ⋮ Bounds on the spectral radii of digraphs in terms of walks

Cites Work

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• Recent results in the theory of graph spectra
• Some new bounds on the spectral radius of graphs
• Spectral radius of non-negative matrices and digraphs

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