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Results tagged with laplacian
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user 1557
The Laplacian matrix is the representation of a graph in matrix form.
22
votes
2
answers
4k
views
Fast Fourier transform for graph Laplacian?
In particular, consider the graph Laplacian $L=UVU^T$ which for a weighted, undirected graph on $n$ vertices is an $n \times n$ matrix with the weights of incident vertices on the off-diagonal and (the … However, pointers to nearby results (e.g., FFT for the combinatorial graph Laplacian) are appreciated. …
- 3,059
8
votes
1
answer
2k
views
Growth of Laplacian eigenvalues on a compact domain?
Let $\mathcal{M}$ be a compact Riemannian manifold and let $\Delta$ be the (scalar) Laplace-Beltrami operator on $\mathcal{M}$. Then $\Delta$ has a discrete spectrum and if we order its distinct eige …
- 3,059