Jeff

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10h
comment Upper bound on the difference between two elements of the Fiedler vector (a particular eigenvector of a graph Laplacian)
@piotr-migdal: What if we just consider the case where $W_{ij}$ is much greater than $W_{ik}$ and $W_{jk}$ for all $k \notin \{i,j\}$? Then, it isn't possible that $|v_i−v_j|$ is large, is it?
10h
comment Upper bound on the difference between two elements of the Fiedler vector (a particular eigenvector of a graph Laplacian)
@meij: Yes, let v be a unit vector. So, I suppose $1$ is technically an upper bound on $|v_i−v_j|$, but I was hoping for something tighter, involving $W_{ij}$...I need a bound I can optimize $W$ with respect to. Thanks for the question.
18h
revised Upper bound on the difference between two elements of the Fiedler vector (a particular eigenvector of a graph Laplacian)
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revised Upper bound on the difference between two elements of the Fiedler vector (a particular eigenvector of a graph Laplacian)
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revised Upper bound on the difference between two elements of the Fiedler vector (a particular eigenvector of a graph Laplacian)
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asked Upper bound on the difference between two elements of the Fiedler vector (a particular eigenvector of a graph Laplacian)