Geodesic
ON RELATION BETWEEN SPECTRA OF GRAPHS AND THEIR DIGRAPH DECOMPOSITIONS
Publications de l'Institut Mathématique, _N_S_85 (2009) no. 99, p. 47 .

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A graph, consisting of undirected edges, can be represented as a sum of two digraphs, consisting of oppositely oriented directed edges. Gutman and Plath in [J. Serb. Chem. Soc. 66 (2001), 237--241] showed that for annulenes, the eigenvalue spectrum of the graph is equal to the sum of the eigenvalue spectra of respective two digraphs. Here we exhibit a number of other graphs with this property.
DOI : 10.2298/PIM0999047S
Classification : 05C50
Keywords: Adjacency matrix, Digraph, Decomposition, Eigenvalues 
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Dragan Stevanović; Sanja Stevanović. ON RELATION BETWEEN SPECTRA OF GRAPHS AND THEIR DIGRAPH DECOMPOSITIONS. Publications de l'Institut Mathématique, _N_S_85 (2009) no. 99, p. 47 . doi : 10.2298/PIM0999047S. http://geodesic.mathdoc.fr/articles/10.2298/PIM0999047S/

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