Graphs with four distinct Laplacian eigenvalues
Journal of Algebraic Combinatorics, Tome 34 (2011) no. 4, pp. 671-682.

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Summary: In this paper, we investigate connected nonregular graphs with four distinct Laplacian eigenvalues. We characterize all such graphs which are bipartite or have exactly one multiple Laplacian eigenvalue. Other examples of interest are also presented.
Keywords: keywords Laplacian eigenvalue, bipartite graph, multiple eigenvalue
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     author = {Mohammadian, A. and Tayfeh-Rezaie, B.},
     title = {Graphs with four distinct {Laplacian} eigenvalues},
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Mohammadian, A.; Tayfeh-Rezaie, B. Graphs with four distinct Laplacian eigenvalues. Journal of Algebraic Combinatorics, Tome 34 (2011) no. 4, pp. 671-682. http://geodesic.mathdoc.fr/item/JAC_2011__34_4_a3/