Geodesic
The Laplacian spectrum of some digraphs obtained from the wheel
Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 2, pp. 255-261

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The problem of distinguishing, in terms of graph topology, digraphs with real and partially non-real Laplacian spectra is important for applications. Motivated by the question posed in [R. Agaev, P. Chebotarev, Which digraphs with rings structure are essentially cyclic?, Adv. in Appl. Math. 45 (2010), 232-251], in this paper we completely list the Laplacian eigenvalues of some digraphs obtained from the wheel digraph by deleting some arcs.
Keywords: digraph, Laplacian matrix, eigenvalue, wheel 
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Su, Li; Li, Hong-Hai; Zheng, Liu-Rong. The Laplacian spectrum of some digraphs obtained from the wheel. Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 2, pp. 255-261. http://geodesic.mathdoc.fr/item/DMGT_2012_32_2_a4/