Given some digraph D, the spectrum of Nout is called the non-negative spectrum or, shortly, the N-spectrum of D. It is the multi-set of N-eigenvalues of D, which in turn are the roots of the N-characteristic polynomial ND(x) = χ(Nout(D), x) = det(Nout(D) – xI), appearing in the spectrum according to their multiplicity.
Oct 22, 2024 · The common spectrum of these matrices is called non-negative spectrum or N-spectrum of a digraph. Several properties of the N-spectrum are ...
In particular, it turns out that the non-negative spectrum of a digraph can be derived from the traditional (adjacency) spectrum of certain undirected bipartite.
Given any digraph D, its non-negative spectrum (or N-spectrum, shortly) consists of the eigenvalues of the matrix AA T, where A is the adjacency matrix of D. In ...
... non-negative spectrum of this digraph. We investigate the relation between the structure of digraphs and their non-negative spectra and associated eigenvectors.
Jan 1, 2020 · Abstract Given the adjacency matrix A of a digraph, the eigenvalues of the matrix AAT constitute the so-called non-negative spectrum of this ...
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The Perron–Frobenius theory of nonnegative matrices provides some important special information on the spectrum of a digraph D. We collect some of this in the ...
We present an upper and a lower bound for the spectral radius of non-negative matrices. Then we give the bounds for the spectral radius of digraphs.
Abstract: Given any digraph D, its non-negative spectrum (or N-spectrum, shortly) consists of the eigenvalues of the matrix AAT, where A is the adjacency ...