Note on deleting a vertex and weak interlacing of the Laplacian spectrum
The electronic journal of linear algebra, Tome 16 (2007), pp. 68-72.

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Summary: The question of what happens to the eigenvalues of the Laplacian of a graph when we delete a vertex is addressed. It is shown that *i - 1 ffn.
Classification : 05C30, 34L15, 34L40
Keywords: spectrum, random spanning trees, Cayley formula, Laplacian, number of leaves
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     title = {Note on deleting a vertex and weak interlacing of the {Laplacian} spectrum},
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Lotker, Zvi. Note on deleting a vertex and weak interlacing of the Laplacian spectrum. The electronic journal of linear algebra, Tome 16 (2007), pp. 68-72. http://geodesic.mathdoc.fr/item/ELA_2007__16__a32/