Geodesic
Non-negative spectrum of a digraph
Ars Mathematica Contemporanea, Tome 12 (2017) no. 1, pp. 167-182.

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Digraphs are considered by means of eigenvalues of the matrix AAT, and similarly ATA, where A is the adjacency matrix of a digraph. The common spectrum of these matrices is called non-negative spectrum or N-spectrum of a digraph. Several properties of the N-spectrum are proved. The notion of cospectrality is generalized, and some examples of cospectral (multi)(di)graphs are constructed.
DOI : 10.26493/1855-3974.682.065
Keywords: Digraph, non-negative spectrum, multigraph, cospectrality, isomorphism 
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Irena M. Jovanović. Non-negative spectrum of a digraph. Ars Mathematica Contemporanea, Tome 12 (2017) no. 1, pp. 167-182. doi : 10.26493/1855-3974.682.065. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.682.065/

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