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Results tagged with laplacian
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user 11260
The Laplacian matrix is the representation of a graph in matrix form.
2
votes
Reference on spectral fractional Laplacian
This seems like a reliable entry point to the literature: What Is the Fractional Laplacian? … This work
may be of use to practitioners looking to gain insight into which
fractional Laplacian definition and associated numerical methods may
be appropriate for their application. …
- 188k
3
votes
Fiedler vector, what else?
The Fiedler vector refers to the second smallest eigenvalue, here is a study of
The third smallest eigenvalue of the Laplacian matrix (2001). … The relationship between the third smallest eigenvalue of the
Laplacian matrix and the graph structure is explored. …
- 188k
6
votes
General questions on the eigenfunctions of Laplacian and Dirac operators
No, we cannot (completely) hear the shape of a drum, even if it is
spinorial. Two metric fields with the same collection of eigenvalues
are called isospectral. There exist Dirac isospectral de …
- 188k
4
votes
Multiplicity of the smallest non-zero Laplacian eigenvalue for tree graphs
The multiplicity of Laplacian eigenvalues of tree graphs is studied in arXiv:1907.11482. …
- 188k