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.
@article{682,
title = {Non-negative spectrum of a digraph},
journal = {ARS MATHEMATICA CONTEMPORANEA},
volume = {12},
year = {2016},
doi = {10.26493/1855-3974.682.065},
language = {EN},
url = {http://dml.mathdoc.fr/item/682}
}
Jovanović, Irena M. Non-negative spectrum of a digraph. ARS MATHEMATICA CONTEMPORANEA, Tome 12 (2016) . doi : 10.26493/1855-3974.682.065. http://gdmltest.u-ga.fr/item/682/