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Results tagged with laplacian
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user 11142
The Laplacian matrix is the representation of a graph in matrix form.
8
votes
The first eigenvalue of the laplacian for complex projective space
See SPECTRA AND EIGENFORMS OF THE LAPLACIAN ON $S^n$ AND $P^(C)$ (osaka j math 1977, you can skip to page 529 or if really lazy look at Theorem 5.2 …
- 96.4k
2
votes
Accepted
Analytical value for the first eigenvalue of a certain spherical triangle
There is a closed formula for the eigenvalues of the right angled spherical triangle, which can be found in Vilenkin's book (Special Functions and the Theory of Group representations). For (a little) …
- 96.4k
1
vote
Relation between expected values of eigenvalues of Laplacian matrix of a graph and eigenvalu...
See the papers by Erdos (no relation) and collaborators, e.g.:
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun, Spectral statistics of Erdős-Rényi graphs. I: Local semicircle law, Ann. Proba …
- 96.4k
6
votes
High multiplicity eigenvalue implies symmetry?
I might be totally confused, but in this paper of Hubert Goldschmidt (Infinitesimal isospectral deformations of symmetric spaces), he seems to construct the very deformations of the title. It is not o …
- 96.4k
2
votes
Analysis of the Laplacian of a random bipartite graph
By a strange coincidence, this circle of questions is studied in the extremely recent arXiv.org preprint by V. Vengerovsky.
- 96.4k