A reciprocal eigenvalue property for unicyclic weighted directed graphs with weights from \(\{\pm 1,{\pm}i\}\)

DOI10.1016/j.laa.2014.02.036zbMath1286.05090OpenAlexW1976334269MaRDI QIDQ2447977

Debajit Kalita, Sukanta Pati

Publication date: 29 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.02.036

zbMATH Keywords

coronaadjacency matrixweighted directed graphgain graphproperty (SN) (strong negation eigenvalue property)property (SR) (strong reciprocal eigenvalue property)

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Signed and weighted graphs (05C22)

Related Items

On the inverse of unicyclic 3-coloured digraphs ⋮ Strong reciprocal eigenvalue property of a class of weighted graphs ⋮ On the adjacency matrix of a complex unit gain graph ⋮ On the spectrum of some signed complete and complete bipartite graphs ⋮ On singularity and properties of eigenvectors of complex Laplacian matrix of multidigraphs ⋮ On weight-symmetric 3-coloured digraphs ⋮ Unnamed Item ⋮ A new matrix representation of multidigraphs ⋮ On some graphs which satisfy reciprocal eigenvalue properties ⋮ Oriented gain graphs, line graphs and eigenvalues

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