Lotker, Zvi

Note on deleting a vertex and weak interlacing of the Laplacian spectrum

Electron. J. Linear Algebra 16, 68-72, electronic only (2007)

Summary

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.

Mathematics Subject Classification

05C30, 34L15, 34L40

Keywords/Phrases

spectrum, random spanning trees, Cayley formula, Laplacian, number of leaves

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