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The Laplacian matrix is the representation of a graph in matrix form.

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Leibniz rule for square root of Laplacian

For the Leibniz rule, it is not true that \begin{equation} (-\Delta)^{\frac12}(fg) = f (-\Delta)^{\frac12}g + g (-\Delta)^{\frac12}f \end{equation} even in the simplest possible case, i.e. in $\mathbb …
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