The oriented bicyclic graphs whose skew-spectral radii do not exceed 2

DOI10.1186/s13660-015-0848-4zbMath1332.05064OpenAlexW1910024362WikidataQ59434054 ScholiaQ59434054MaRDI QIDQ262588

Guang-Hui Xu, Shi-Cai Gong

Publication date: 30 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0848-4

zbMATH Keywords

oriented graphskew-adjacency matrixskew-spectral radius

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Distance in graphs (05C12) Directed graphs (digraphs), tournaments (05C20)

Related Items (2)

Oriented graphs whose skew spectral radius does not exceed 2 ⋮ Relations between the skew spectrum of an oriented graph and the spectrum of an associated signed graph

Cites Work

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• Some inequalities on the skew-spectral radii of oriented graphs
• Skew-adjacency matrices of graphs
• Characteristic polynomials of skew-adjacency matrices of oriented graphs
• 3-regular digraphs with optimum skew energy
• Ordering graphs with index in the interval \((2, \sqrt{2+\sqrt 5})\)
• Some notes on graphs whose spectral radius is close to \(\frac{3}{2}\sqrt 2\)
• The graphs with spectral radius between 2 and \(\sqrt{2+\sqrt{5}}\)
• Ordering the oriented unicyclic graphs whose skew-spectral radius is bounded by 2
• The skew energy of a digraph
• Skew spectra of oriented graphs
• On oriented graphs whose skew spectral radii do not exceed 2
• On graphs whose spectral radius is bounded by \(\frac{3}{2}\sqrt{2}\)

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