Geodesic
On the second largest eigenvalue of a mixed graph
Discussiones Mathematicae. Graph Theory, Tome 27 (2007) no. 2, pp. 373-384

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Let G be a mixed graph. We discuss the relation between the second largest eigenvalue λ₂(G) and the second largest degree d₂(G), and present a sufficient condition for λ₂(G) ≥ d₂(G).
Keywords: mixed graph, Laplacian eigenvalue, degree 
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Zhou, Jun; Fan, Yi-Zheng; Wang, Yi. On the second largest eigenvalue of a mixed graph. Discussiones Mathematicae. Graph Theory, Tome 27 (2007) no. 2, pp. 373-384. http://geodesic.mathdoc.fr/item/DMGT_2007_27_2_a12/