Geodesic
The number of eigenvalues greater than two in the Laplacian spectrum of a graph
Portugaliae mathematica, Tome 48 (1991) no. 3, pp. 345-349

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Keywords: Laplacian matrix, diagonal matrix of vertex degrees, adjacency matrix, number of pendant neighbours, eigenvalues 
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     author = {Merris, Russell},
     title = {The number of eigenvalues greater than two in the {Laplacian} spectrum of a graph},
     journal = {Portugaliae mathematica},
     pages = {345--349},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {1991},
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     zbl = {0731.05037},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PORMA_1991__48_3_115760/}
}
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Merris, Russell. The number of eigenvalues greater than two in the Laplacian spectrum of a graph. Portugaliae mathematica, Tome 48 (1991) no. 3, pp. 345-349. http://geodesic.mathdoc.fr/item/PORMA_1991__48_3_115760/