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Results tagged with laplacian
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user 18974
The Laplacian matrix is the representation of a graph in matrix form.
12
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How to understand the combinatorial Laplacian $\Delta$ which is defined on the graph?
This is the Laplacian (up to a sign). … The fact that you put a "$-$" sign or not depends entirely on your taste: if you want a Laplacian with negative spectrum, you should put a "$-$", otherwise don't (it's a standard trick to see that $A^* …
- 4,432
4
votes
Invertibility of group Laplacian in $\ell^1$
Corollary: 0 is in the spectrum of $L_1$ and the Laplacian cannot be inverted $\ell^1$.
Note the argument is true in any graph. … As a complementary remark the image of the Laplacian is not dense (in a graph with an infinite connected component). …
- 4,432